Algebra
What is half of 1 3/4?
Answer: Answer: half of 1 3/4 is 7/8
Yaren Fadiloglulari
June 19, 2025
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What is 6.25 as a Fraction?
Answer: 6.25 as a fraction is 25/4 or 6 1/4. Decimals to Fractions Conversion Converting decimals to fractions involves writing the decimal as a fraction of a power of ten and then simplifying if possible. For 6.25, consider it as 625/100. This fraction can be simplified to 25/4 or expressed as a mixed number, 6 […]
Phoebe Belza-Barrientos
January 19, 2024
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What is the length of line segment LJ?
Answer: Without additional context or a diagram, the length of line segment LJ cannot be determined. Understanding Line Segments Line segments are part of a line with two endpoints. The length of a line segment can be determined if the coordinates of its endpoints are known or if it’s part of a geometric figure with […]
Mary Grace Carlos
January 19, 2024
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Which equation represents a graph with a vertex at (-3, 2)?
Answer: The equation that represents a graph with a vertex at (-3, 2) is y = 4x² + 24x + 38. Vertex Form of a Quadratic Function The vertex form of a quadratic function is y = a(x – h)² + k, where (h, k) is the vertex. To determine which equation represents a graph […]
Mary Grace Carlos
January 19, 2024
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What is 90% of 20?
Answer: 90% of 20 is 18. Calculating Percentages of Numbers To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 90% of 20, convert 90% to 0.90 and multiply by 20 to get 18. Understanding how to calculate percentages is crucial in various scenarios […]
Jo-ann Caballes
January 19, 2024
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What is 1/7 as a decimal?
Answer: 1/7 as a decimal is approximately 0.1429. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 1/7, dividing 1 by 7 results in a repeating decimal, approximately 0.1429. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data […]
Jessica Kaminski
January 19, 2024
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What is a 10 sided shape called?
Answer: A 10-sided shape is called a decagon. Exploring Polygon Names Polygons are 2D shapes with straight sides. A polygon with 10 sides is known as a decagon. Each polygon name is based on the number of its sides. Understanding the names and properties of polygons is important in geometry for identifying shapes, solving problems, […]
Jessica Kaminski
January 19, 2024
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What is 6 degrees Celsius in Fahrenheit?
Answer: 6 degrees Celsius is 42.8 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 6°C, (6 * 9/5) + 32, we get 42.8°F. Understanding how to convert temperatures is essential […]
Rachelle Bencio Yu
January 19, 2024
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What is 0.08 as a Fraction?
Answer: 0.08 as a fraction is 2/25. Decimals to Fractions Conversion Converting decimals to fractions involves placing the decimal over the appropriate power of 10 and then simplifying if possible. For 0.08, consider it as 8/100. This fraction can be simplified to 2/25 by dividing both the numerator and the denominator by their greatest common […]
Franz Jerby Delos Santos
January 19, 2024
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What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Answer: The solution set for x is x≥3. Solving Linear Inequalities To solve the inequality 2(3x – 1) ≥ 4x – 6, first expand and simplify it to get 6x – 2 ≥ 4x – 6. Then, solve for x, which results in x ≥ 3. Understanding and solving linear inequalities is crucial in algebra […]
Franz Jerby Delos Santos
January 19, 2024
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What is 180 degrees Celsius in Fahrenheit?
Answer: 180 degrees Celsius is 356 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 180°C, (180 * 9/5) + 32, we get 356°F. Understanding how to convert temperatures is essential […]
Yaren Fadiloglulari
January 19, 2024
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What is the next number in the sequence 9, 3, 1, 1/3?
Answer: The next number in the sequence is 1/9. Recognizing Number Patterns The sequence 9, 3, 1, 1/3 represents a pattern where each number is divided by 3 to get the next number. Following this pattern, the next number after 1/3 would be 1/3 divided by 3, which is 1/9. Understanding number patterns is a […]
Maila Caliao
January 19, 2024
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What is 7/10 as a decimal?
Answer: 7/10 as a decimal is 0.7. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 7/10, dividing 7 by 10 results in 0.7. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a critical concept […]
Mary Grace Carlos
January 19, 2024
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What is the axis of symmetry of the function f(x) = -(x + 9)(x – 21)?
Answer: The axis of symmetry is x = 6. Understanding the Axis of Symmetry in Quadratic Functions The axis of symmetry of a quadratic function can be found by averaging the x-values of the x-intercepts or by using the formula x = -b/2a. For f(x) = -(x + 9)(x – 21), the x-intercepts are -9 […]
Marvi M. Andres
January 19, 2024
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What is the sum of the measures of the interior angles of a heptagon?
Answer: The sum of the measures of the interior angles of a heptagon is 900 degrees. Interior Angles of Polygons The sum of the interior angles of a polygon with n sides is given by the formula (n – 2) * 180 degrees. For a heptagon, which has 7 sides, this becomes (7 – 2) […]
Rachelle Bencio Yu
January 19, 2024
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What is 3/20 as a decimal?
Answer: 3/20 as a decimal is 0.15. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 3/20, dividing 3 by 20 results in 0.15. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a critical concept […]
Franz Jerby Delos Santos
January 19, 2024
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What is one-third plus one-third?
Answer: One-third plus one-third is two-thirds, or 32. Adding Fractions Adding fractions involves finding a common denominator and then adding the numerators. For one-third plus one-third, the common denominator is already 3, so you simply add the numerators: 1/3+1/=2/3. Understanding how to add fractions is crucial in mathematics for combining quantities, solving problems, and performing […]
Franz Jerby Delos Santos
January 19, 2024
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What does it mean to round to the nearest dollar?
Answer: Rounding to the nearest dollar means adjusting a number to the closest whole dollar amount, either up or down, based on the cents. If the cents are 50 or more, round up. If less, round down. Rounding Numbers Rounding numbers is a mathematical process used to simplify numbers, making them easier to work with […]
Marvi M. Andres
January 19, 2024
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Which function in vertex form is equivalent to f(x) = x² + 6x + 3?
Answer: The equivalent function in vertex form is f(x) = (x + 3)² – 6. Vertex Form of a Quadratic Function The vertex form of a quadratic function is y = a(x – h)² + k, where (h, k) is the vertex. To convert f(x) = x² + 6x + 3 to vertex form, complete […]
Mary Grace Carlos
January 19, 2024
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What is 7/20 as a decimal?
Answer: 7/20 as a decimal is 0.35. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 7/20, dividing 7 by 20 results in 0.35. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a critical concept […]
Yaren Fadiloglulari
January 19, 2024
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What is 10/3 as a Mixed Number?
Answer: 10/3 as a mixed number is 3 1/3. Converting Improper Fractions to Mixed Numbers To convert an improper fraction to a mixed number, divide the numerator by the denominator. For 10/3, 10 divided by 3 is 3 with a remainder of 1, so the mixed number is 3 1/3. This conversion is important in […]
Jo-ann Caballes
January 19, 2024
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What is .33 as a fraction?
Answer: .33 as a fraction is 33/100. Decimals to Fractions Conversion Converting decimals to fractions involves writing the decimal as a fraction of a power of ten and then simplifying if possible. For .33, consider it as 33/100. This conversion is essential in mathematics for performing calculations, comparing values, and simplifying expressions, ensuring accuracy and […]
Camille Ira B. Mendoza
January 19, 2024
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What is 13/8 as a Mixed Number?
Answer: 13/8 as a mixed number is 1 5/8. Converting Improper Fractions to Mixed Numbers To convert an improper fraction to a mixed number, divide the numerator by the denominator. For 13/8, 13 divided by 8 is 1 with a remainder of 5, so the mixed number is 1 5/8. This conversion is important in […]
Franz Jerby Delos Santos
January 19, 2024
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What is 2/8 as a percentage?
Answer: 2/8 as a percentage is 25%. Converting Fractions to Percentages To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For 2/8, divide 2 by 8 to get 0.25 and then multiply by 100 to get 25%. Understanding how to convert fractions to percentages is crucial […]
Florence Khitsane
January 19, 2024
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What is 0.3 repeating as a Fraction?
Answer: 0.3 repeating (or 0.333…) as a fraction is 1/3. Converting Repeating Decimals to Fractions Repeating decimals are decimals in which one or more digits repeat infinitely. To convert the repeating decimal 0.333… to a fraction, you can use algebraic methods, setting x = 0.333…, then multiplying by 10 to get 10x = 3.333…, subtracting […]
Florence Khitsane
January 19, 2024
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What is 6 to the 3rd power?
Answer: 6 to the 3rd power, or 6³, is 216. Understanding Exponents Exponents represent repeated multiplication. 6 to the 3rd power (6³) means multiplying 6 by itself three times, which equals 216. This concept is fundamental in mathematics, representing quantities in a compact form and playing a crucial role in algebra, geometry, and calculus. Understanding […]
Jo-ann Caballes
January 19, 2024
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What is 10 to the 5th power?
Answer: 10 to the 5th power, or 10^5, is 100,000. Understanding Exponents Exponents represent repeated multiplication. 10 to the 5th power (10^5) means multiplying 10 by itself five times, which equals 100,000. This concept is fundamental in mathematics, representing quantities in a compact form and playing a crucial role in algebra, geometry, and calculus. Understanding […]
Marvi M. Andres
January 19, 2024
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What is 0 degrees Celsius in Fahrenheit?
Answer: 0 degrees Celsius is 32 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 0°C, (0 * 9/5) + 32, we get 32°F. Understanding how to convert temperatures is essential […]
Mary Grace Carlos
January 19, 2024
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What is 4 degrees Celsius in Fahrenheit?
Answer: 4 degrees Celsius is 39.2 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 4°C, (4 * 9/5) + 32, we get 39.2°F. Understanding how to convert temperatures is essential […]
Mary Grace Carlos
January 19, 2024
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What is 0.63 as a fraction?
Answer: 0.63 as a fraction is 63/100. Decimals to Fractions Conversion Converting decimals to fractions involves placing the decimal over the appropriate power of 10 and then simplifying if possible. For 0.63, consider it as 63/100. This fraction may be further simplified if there’s a common divisor, but in this case, 63/100 is already in […]
Maila Caliao
January 19, 2024
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Over what interval is the graph of f(x) = -(x + 8)² – 1 decreasing?
Answer: The graph of f(x) = -(x + 8)² – 1 is always decreasing because it is a downward-opening parabola. Analyzing Quadratic Graphs The graph of a quadratic function y = a(x – h)² + k will open upwards if a is positive and downwards if a is negative. For the function f(x) = -(x […]
Camille Ira B. Mendoza
January 19, 2024
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What is 7 as a fraction?
Answer: 7 as a fraction is 7/1. Understanding Whole Numbers as Fractions Any whole number can be expressed as a fraction by placing the number over 1. This converts the whole number 7 into a fraction form 7/1, indicating 7 whole parts. This representation is useful in operations involving both whole numbers and fractions, ensuring […]
Camille Ira B. Mendoza
January 19, 2024
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Which graph shows the solution to the system of linear inequalities: y < 2x - 5, y > -3x + 1?
Answer: To identify the correct graph, look for the region where the shading of y < 2x - 5 and y > -3x + 1 overlap. Graphing Linear Inequalities A system of linear inequalities represents a set of constraints. The solution is the region where the solutions to individual inequalities overlap. For the system y […]
Jessica Kaminski
January 19, 2024
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What is the next number? 1, 1, 2, 4, 3, 9, 4
Answer: The pattern alternates between multiplying by 1 and squaring, so the next number is 16 (4 squared). Recognizing Number Patterns Number patterns are sequences of numbers following a specific rule or set of rules. In this sequence, the pattern alternates between multiplying by 1 and squaring the previous number. Identifying and understanding these patterns […]
Jessica Kaminski
January 19, 2024
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What is 3 1/2 as a decimal?
Answer: 3 1/2 as a decimal is 3.5. Converting Mixed Numbers to Decimals A mixed number combines a whole number and a fraction. To convert 3 1/2 to a decimal, convert the fraction to a decimal and then add it to the whole number. 1/2 as a decimal is 0.5, so 3 + 0.5 is […]
Rachelle Bencio Yu
January 19, 2024
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What is 10% of 50?
Answer: 10% of 50 is 5. Calculating Basic Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 10% of 50, convert 10% to 0.10 and multiply by 50 to get 5. This basic calculation is not just a mathematical operation but a […]
Maila Caliao
January 19, 2024
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What is 10 of 10?
Answer: If you’re asking for 10% of 10, the answer is 1. Calculating Basic Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. If the question is interpreted as 10% of 10, convert 10% to 0.10 and multiply by 10 to get 1. […]
Mary Grace Carlos
January 19, 2024
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What is 50 degrees Celsius in Fahrenheit?
Answer: 50 degrees Celsius is 122 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 50°C, (50 * 9/5) + 32, we get 122°F. Understanding how to convert temperatures is essential […]
Laila A. Lico
January 19, 2024
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What is 2 to the 4th power?
Answer: 2 to the 4th power, or 2^4, is 16. Understanding Exponents Exponents represent repeated multiplication. 2 to the 4th power (2^4) means multiplying 2 by itself four times, which equals 16. This concept is fundamental in mathematics, representing quantities in a compact form and playing a crucial role in algebra, geometry, and calculus. Understanding […]
Franz Jerby Delos Santos
January 19, 2024
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What is 8 degrees Celsius in Fahrenheit?
Answer: 8 degrees Celsius is 46.4 degrees Fahrenheit. Temperature Conversion Temperature conversion between Celsius and Fahrenheit is a common requirement in various scenarios. To convert Celsius to Fahrenheit, use the formula (°C * 9/5) + 32. Applying this to 8°C, (8 * 9/5) + 32, we get 46.4°F. Understanding how to convert temperatures is essential […]
Jessica Kaminski
January 19, 2024
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Which equation can be simplified to find the inverse of y = 5x² + 10?
Answer: The equation that can be simplified to find the inverse is x = 5y² + 10. Finding the Inverse of a Function To find the inverse of a function, you swap the x and y variables and then solve for y. For y = 5x² + 10, swapping x and y gives x = […]
Franz Jerby Delos Santos
January 19, 2024
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What is 3% of 100?
Answer: 3% of 100 is 3. Calculating Basic Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 3% of 100, convert 3% to 0.03 and multiply by 100 to get 3. This basic calculation is not just a mathematical operation but a […]
Florence Khitsane
January 19, 2024
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What is a negative plus a positive?
Answer: When you add a negative number to a positive number, the result depends on the absolute values of the numbers. If the positive number is larger, the result is positive. If the negative is larger, the result is negative. Understanding Addition of Positive and Negative Numbers Adding positive and negative numbers is a basic […]
Camille Ira B. Mendoza
January 19, 2024
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What is 5/9 as a decimal?
Answer: 5/9 as a decimal is approximately 0.5556. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 5/9, dividing 5 by 9 results in approximately 0.5556. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a […]
Marvi M. Andres
January 19, 2024
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What time is 20 hours?
Answer: 20 hours is 8:00 PM in 12-hour clock format. Understanding the 24-Hour Clock The 24-hour clock format, also known as military time, runs from 0 to 23 hours. To convert hours greater than 12 to the 12-hour clock format, subtract 12 from the hour. Thus, 20 hours is 8:00 PM. This timekeeping method is […]
Franz Jerby Delos Santos
January 19, 2024
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What is 9/5 as a decimal?
Answer: 9/5 as a decimal is 1.8. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 9/5, dividing 9 by 5 results in 1.8. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a critical concept […]
Franz Jerby Delos Santos
January 19, 2024
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Is 0 a rational, irrational, natural, whole, integer or real number?
Answer: 0 is a rational, whole, integer, and real number. Understanding Number Categories In mathematics, numbers are categorized based on their properties. Zero (0) is considered a rational number because it can be expressed as a fraction (0/1). It’s a whole number as it doesn’t have a fractional or decimal part. It’s also an integer […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 6 divided by 4?
Answer: 6 divided by 4 is 1.5 or as a fraction 3/2. Division and Its Representations Division is one of the basic operations in arithmetic, representing the distribution of a number into equal parts. When you divide 6 by 4, you determine how many times 4 fits into 6, which is 1 with a remainder […]
Florence Khitsane
January 19, 2024
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What is 13/20 as a decimal?
Answer: 13/20 as a decimal is 0.65. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 13/20, dividing 13 by 20 results in 0.65. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a critical concept […]
Laila A. Lico
January 19, 2024
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What is the first step when rewriting y = 6x² + 18x + 14 in the form y = a(x – h)² + k?
Answer: The first step is to factor out the coefficient of x² from the first two terms, giving y = 6(x² + 3x) + 14. Understanding the Vertex Form Rewriting a quadratic equation in vertex form, y = a(x – h)² + k, involves completing the square. The first step is to factor the leading […]
Mary Grace Carlos
January 19, 2024
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What is 5 to the 3rd power?
Answer: 5 to the 3rd power, or 5³, is 125. Understanding Exponents Exponents represent repeated multiplication. 5 to the 3rd power (5³) means multiplying 5 by itself three times, which equals 125. This concept is fundamental in mathematics, representing quantities in a compact form and playing a crucial role in algebra, geometry, and calculus. Understanding […]
Laila A. Lico
January 19, 2024
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What is the solution(s) to the quadratic equation 9x² = 4?
Answer: The solutions are x = ±2/3. Solving Quadratic Equations Solving quadratic equations like 9x² = 4 involves isolating the variable and finding its value(s). First, divide both sides by 9 to get x² = 4/9. Then, take the square root of both sides, remembering to include both the positive and negative solutions, resulting in […]
Marvi M. Andres
January 19, 2024
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What is 25% of 30?
Answer: 25% of 30 is 7.5. Calculating Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 25% of 30, convert 25% to 0.25 and multiply by 30 to get 7.5. Understanding how to calculate percentages is crucial in various scenarios like finance […]
Jessica Kaminski
January 19, 2024
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What is 10% of 200?
Answer: 10% of 200 is 20. Basic Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 10% of 200, convert 10% to 0.10 and multiply by 200 to get 20. This basic calculation is not just a mathematical operation but a critical […]
Laila A. Lico
January 19, 2024
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What is the antiderivative of sin²(x)?
Answer: The antiderivative of sin²(x) can be expressed as (x/2) – (1/4)sin(2x) + C, where C is the constant of integration. Exploring Antiderivatives Antiderivatives, or indefinite integrals, represent the reverse process of differentiation in calculus. The antiderivative of sin²(x) is found using trigonometric identities and integration techniques. It’s a crucial concept in calculus, providing a […]
Laila A. Lico
January 19, 2024
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What is 10 to the 0 power?
Answer: 10 to the 0 power is 1. Exponents In mathematics, any non-zero number raised to the power of 0 is 1. This is because the number of times you multiply the base by itself is zero, and the identity element for multiplication is 1. This concept is crucial in algebra, where exponents represent repeated […]
Jessica Kaminski
January 19, 2024
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What is 1 1/2 as a decimal?
Answer: 1 1/2 as a decimal is 1.5. Converting Mixed Numbers to Decimals A mixed number combines a whole number and a fraction. To convert 1 1/2 to a decimal, convert the fraction to a decimal and then add it to the whole number. 1/2 as a decimal is 0.5, so 1 + 0.5 is […]
Laila A. Lico
January 19, 2024
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What is the value of 2/3 × 4 as a fraction?
Answer: The value of 2/3 × 4 as a fraction is 8/3 or 2 2/3. Multiplying Fractions and Whole Numbers Multiplying fractions by whole numbers involves converting the whole number into a fraction by placing it over 1 and then multiplying the numerators and the denominators. For 2/3 × 4, convert 4 to 4/1 and […]
Phoebe Belza-Barrientos
January 19, 2024
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What is half of a diameter of a circle called?
Answer: Half of a diameter of a circle is called a radius. Geometry: Circles and Their Components In geometry, a circle is defined by its center and its radius. The radius is half the length of the diameter and is a fundamental concept in understanding the properties of a circle. It’s crucial for calculating the […]
Jo-ann Caballes
January 19, 2024
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What is 0.6 repeating as a Fraction?
Answer: 0.6 repeating (or 0.666…) as a fraction is 2/3. Converting Repeating Decimals to Fractions Repeating decimals are decimals in which one or more digits repeat infinitely. To convert the repeating decimal 0.666… to a fraction, you can use algebraic methods, setting x = 0.666…, then multiplying by 10 to get 10x = 6.666…, subtracting […]
Marvi M. Andres
January 19, 2024
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What is the first step when rewriting y = 3x² + 9x – 18 in the form y = a(x – h)² + k?
Answer: The first step is to factor out the coefficient of x² (3) from the first two terms, giving y = 3(x² + 3x) – 18. Understanding the Vertex Form Rewriting a quadratic equation in vertex form, y = a(x – h)² + k, involves completing the square. The first step is to factor the […]
Rachelle Bencio Yu
January 19, 2024
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What is 18% as a Fraction in Simplest Form?
Answer: 18% as a fraction in simplest form is 9/50. Understanding Percentages as Fractions Percentages represent a portion of a whole as parts per hundred. To convert a percentage to a fraction, place the percentage number over 100 and simplify if possible. For 18%, this becomes 18/100, which simplifies to 9/50 when divided by their […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 8/9 as a decimal?
Answer: 8/9 as a decimal is approximately 0.8889. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 8/9, dividing 8 by 9 results in approximately 0.8889. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a […]
Laila A. Lico
January 19, 2024
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What is 70% of 20?
Answer: 70% of 20 is 14. Calculating Percentages of Numbers To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 70% of 20, convert 70% to 0.70 and multiply by 20 to get 14. Understanding how to calculate percentages is crucial in various scenarios […]
Franz Jerby Delos Santos
January 19, 2024
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What fraction is equivalent to 4/5?
Answer: An equivalent fraction to 4/5 is 8/10 or 12/15. Understanding Equivalent Fractions Equivalent fractions represent the same part of a whole, even though they may have different numerators and denominators. Multiplying the numerator and denominator of 4/5 by the same number (e.g., 2 to get 8/10 or 3 to get 12/15) gives equivalent fractions. […]
Franz Jerby Delos Santos
January 19, 2024
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What is 0.8125 as a fraction?
Answer: 0.8125 as a fraction is 13/16. Decimals to Fractions Conversion Converting decimals to fractions involves understanding the place value of the decimal and then simplifying the fraction. For 0.8125, consider it as 8125/10000. This fraction can be simplified to 13/16 by dividing both the numerator and the denominator by their greatest common divisor, 625. […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 10% of 500?
Answer: 10% of 500 is 50. Calculating Basic Percentages To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. For 10% of 500, convert 10% to 0.10 and multiply by 500 to get 50. This basic calculation is not just a mathematical operation but a […]
Rachelle Bencio Yu
January 19, 2024
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What is the difference between a rhombus and a parallelogram?
Answer: A rhombus is a parallelogram with all sides equal in length, while a parallelogram has opposite sides equal in length. Geometry In geometry, understanding the properties of shapes is fundamental. A parallelogram is a four-sided shape with opposite sides that are equal and parallel. A rhombus is a special type of parallelogram where all […]
Jo-ann Caballes
January 19, 2024
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What is 5 PM in military time?
Answer: 5 PM in military time is 1700 hours. Military Time Military time, also known as the 24-hour clock, is a time format where hours are numbered from 00 to 23. This format is used to avoid ambiguity and is standard in many professional and military settings. To convert PM times to military time, add […]
Florence Khitsane
January 19, 2024
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Use synthetic division to solve (x³ + 1) ÷ (x – 1). What is the quotient?
Answer: The quotient is x² + x + 1. Mastering Synthetic Division Synthetic division is a simplified method of dividing a polynomial by a binomial of the form (x – c). For (x³ + 1) ÷ (x – 1), set up the synthetic division and you’ll find the quotient is x² + x + 1. […]
Florence Khitsane
January 19, 2024
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What is 3 to the 2nd power?
Answer: 3 to the 2nd power, or 3², is 9. Exponents Exponents represent repeated multiplication. 3 to the 2nd power (3²) means multiplying 3 by itself, which equals 9. This concept is fundamental in mathematics, representing quantities in a compact form and playing a crucial role in algebra, geometry, and calculus. Understanding exponents is also […]
Jo-ann Caballes
January 19, 2024
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What is 2% as a Fraction in Simplest Form?
Answer: 2% as a fraction in simplest form is 1/50. Percentages as Fractions Percentages represent a portion of a whole as parts per hundred. To convert a percentage to a fraction, place the percentage number over 100 and simplify if possible. For 2%, this becomes 2/100, which simplifies to 1/50 when divided by the greatest […]
Jessica Kaminski
January 19, 2024
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What should be the next number in the following series? 100, 96, 104, 88, 120, 56,…?
Answer: The next number should be 136. Sequences and Series Understanding patterns in sequences and series is a fundamental aspect of mathematics. This particular series alternates between subtracting and adding multiples of 8 (100-4×8, 96+8×8, 104-2×8, 88+4×8, 120-8×8). Following this pattern, the next operation would be adding 8×8 to 56, resulting in 136. Recognizing patterns […]
Phoebe Belza-Barrientos
January 19, 2024
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Write 7 divided by 3 as a fraction?
Answer: 7 divided by 3 as a fraction is 37. Fractions and Division Fractions represent a division of two numbers, the numerator and the denominator. Writing 7 divided by 3 as a fraction gives us 37, which is also called a proper fraction. Understanding how to express division as a fraction is crucial in mathematics, […]
Rachelle Bencio Yu
January 19, 2024
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What is 5/12 as a decimal?
Answer: 5/12 as a decimal is approximately 0.4167. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 5/12, dividing 5 by 12 results in approximately 0.4167. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a […]
Mary Grace Carlos
January 19, 2024
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Which represents the inverse of the function f(x) = 4x? h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x
Answer: The inverse of the function f(x) = 4x is h(x) = 1/4 x. Functions and Inverses In mathematics, the inverse of a function reverses the operation of the original function. For the function f(x) = 4x, the inverse would undo the multiplication by 4, which is achieved by dividing by 4, represented as h(x) […]
Camille Ira B. Mendoza
January 19, 2024
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What is 0.75 as a Fraction?
Answer: 0.75 as a fraction is 3/4. Decimals to Fractions Conversion Converting decimals to fractions involves understanding the place value of the decimal. For 0.75, the 7 is in the tenths place and the 5 is in the hundredths place, making it 75/100. This can be simplified to 43 by dividing both the numerator and […]
Mary Grace Carlos
January 19, 2024
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What is 12% as a fraction?
Answer: 12% as a fraction is 12/100 or simplified to 3/25. Percents to Fractions Percentages are a way of expressing a number as a fraction of 100. To convert a percentage to a fraction, place the percentage number over 100 and then simplify if possible. For 12%, this becomes 12/100, which simplifies to 3/25 when […]
Jo-ann Caballes
January 19, 2024
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What is the square root of pi?
Answer: The square root of pi (π) is approximately 1.772. Exploring Irrational Numbers The number π (pi) is an irrational number, meaning it cannot be expressed exactly as a simple fraction. The square root of π is another irrational number, approximately 1.772. Irrational numbers play a crucial role in mathematics, especially in geometry and trigonometry, […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 0.9375 as a fraction?
Answer: 0.9375 as a fraction is 15/16. Decimals to Fractions Conversion Converting decimals to fractions involves understanding the place value of the decimal and then simplifying the fraction. For 0.9375, consider it as 9375/10000. This fraction can be simplified to 15/16 by dividing both the numerator and the denominator by their greatest common divisor, 625. […]
Mary Grace Carlos
January 19, 2024
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What is the value of 1/4 times 1/4?
Answer: The value of 1/4 times 1/4 is 1/16. Multiplying Fractions Multiplying fractions involves multiplying the numerators together and the denominators together. For 1/4 times 1/4, multiply the numerators (1 * 1) and the denominators (4 * 4), resulting in 1/16. This fundamental arithmetic operation is crucial in various mathematical concepts, including algebra and geometry, […]
Maila Caliao
January 19, 2024
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What is 8 inches in centimeters?
Answer: 8 inches is approximately 20.32 centimeters. Unit Conversion: Length Converting units of length from inches to centimeters involves using the conversion factor where 1 inch is equal to 2.54 centimeters. To convert 8 inches to centimeters, multiply 8 by 2.54, resulting in 20.32 cm. Understanding and performing unit conversions is vital in fields like […]
Franz Jerby Delos Santos
January 19, 2024
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What is 20:30 military time?
Answer: 20:30 military time is 8:30 PM. Military Time Military time, or the 24-hour clock, is a method of timekeeping where the day runs from midnight to midnight and is divided into 24 hours. In this system, 20:30 represents the thirtieth minute of the twentieth hour, which in standard time is 8:30 PM. This time […]
Franz Jerby Delos Santos
January 19, 2024
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What is 0.8 As a Fraction?
Answer: 0.8 as a fraction is 4/5. Decimals to Fractions Conversion Converting decimals to fractions involves understanding the place value of the decimal and then simplifying the fraction. For 0.8, consider it as 8/10. This fraction can be simplified to 4/5 by dividing both the numerator and the denominator by their greatest common divisor, 2. […]
Camille Ira B. Mendoza
January 19, 2024
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What is 15/16 as a decimal?
Answer: 15/16 as a decimal is approximately 0.9375. Converting Fractions to Decimals Converting fractions to decimals involves dividing the numerator by the denominator. For 15/16, dividing 15 by 16 results in approximately 0.9375. This conversion is a fundamental skill in mathematics, facilitating the comparison of quantities, simplifying calculations, and aiding in data interpretation. It’s a […]
Franz Jerby Delos Santos
January 19, 2024
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What is 9/10 as a percent?
Answer: 9/10 as a percent is 90%. Fractions to Percentages To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For 9/10, divide 9 by 10 to get 0.9 and then multiply by 100 to get 90%. This conversion is essential in understanding ratios, proportions, and rates […]
Mary Grace Carlos
January 19, 2024
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What is 9/16 as a decimal?
Answer: 9/16 as a decimal is 0.5625 A decimal is a whole number component with a fractional element. The entire and partially whole quantities may be numerically represented by decimal numbers, which sit between integers. There are two ways to turn “9/16” into a decimal. Explanation: First Method: Division Simply dividing 9 by 16 will […]
Marvi M. Andres
January 19, 2024
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What is 0.7 as a fraction?
Answer: 0.7 as a fraction is 7/10. Decimals to Fractions Conversion Decimals and fractions are two sides of the same coin, and understanding how to convert between the two is a crucial math skill. The decimal 0.7 means 7 tenths, so it can be directly written as the fraction 7/10. This conversion is not just […]
Marvi M. Andres
January 19, 2024
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What is 80% of 25?
Answer: 80% of 25 is 20. Percentages Percentages are a way to express a number as a fraction of 100. To find 80% of 25, you multiply 25 by 0.8 (since 80% is the same as 0.8). This calculation gives us 20. Understanding percentages is crucial not just in math classes, but in everyday life. […]
Mary Grace Carlos
January 19, 2024
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What is 1/16 as a Decimal?
Answer: 1/16 as a decimal is 0.0625. Converting Fractions to Decimals Converting fractions to decimals is a fundamental concept in mathematics that provides a bridge between two essential numerical representations. The fraction 1/16 represents one part of sixteen equal parts. To convert it to a decimal, you divide 1 by 16, which equals 0.0625. This […]
Jessica Kaminski
January 19, 2024
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What time will it be in 24 hours from now?
Answer: In 24 hours from now, the time will be exactly the same as it is at the current moment. Grasping Time Concepts Time is a fundamental concept used to sequence events, compare durations, and quantify rates of change. One day consists of 24 hours. Therefore, 24 hours from any given moment brings us back […]
Laila A. Lico
January 19, 2024
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What is 2/3 plus 2/3?
Answer: 2/3 plus 2/3 equals 4/3, which can also be expressed as 1 and 1/3. Navigating Through Fractions Fractions represent parts of a whole. When adding fractions with the same denominator, like 2/3 and 2/3, you simply add the numerators. This gives us 4/3, an improper fraction where the numerator is larger than the denominator. […]
Franz Jerby Delos Santos
January 19, 2024
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What is 34 degrees Celsius in Fahrenheit?
Answer: 34 degrees Celsius is 93.2 degrees Fahrenheit. Temperature Conversions Temperature is a measure of thermal energy and is crucial in various aspects of daily life and science. Converting from Celsius to Fahrenheit involves using the formula (°C * 9/5) + 32. For 34°C, the calculation would be (34 * 9/5) + 32, equating to […]
Franz Jerby Delos Santos
January 19, 2024
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What is 3/7 as a decimal?
Answer: 3/7 as a decimal is approximately 0.4286. Fractions and Decimals Fractions and decimals are two ways to represent numbers that are not whole. Converting a fraction like 3/7 to a decimal requires dividing the numerator (3) by the denominator (7), resulting in approximately 0.4286. This understanding is pivotal in various domains like finance, where […]
Yaren Fadiloglulari
January 19, 2024
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What number should be added to both sides of the equation to complete the square (x² – 6x = 5)?
Answer: The number 9 should be added to both sides to complete the square. Completing the Square Completing the square is a technique used in algebra to solve quadratic equations. The method involves converting the quadratic equation into a perfect square trinomial by adding a specific value to both sides. For the equation x² – […]
Mary Grace Carlos
January 19, 2024
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What is 8% as a decimal?
Answer: 8% as a decimal is 0.08. Percentages and Decimals Percentages are a way of expressing a number as a fraction of 100. To convert a percentage to a decimal, divide by 100. For 8%, divide 8 by 100, which equals 0.08. This conversion is crucial in many real-life scenarios, such as calculating discounts, interest […]
Maila Caliao
January 19, 2024
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What is 40% of 50?
Answer: 40% of 50 is 20. Calculating Percentages Percentages represent a proportion out of 100 and are used to describe how large or small one quantity is relative to another. To find 40% of 50, multiply 50 by 0.40 (since 40% is the same as 0.40). This gives us 20. Understanding how to calculate percentages […]
Jessica Kaminski
January 19, 2024
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What is 4/7 as a decimal?
Answer: 4/7 as a decimal is approximately 0.5714. Fractions and Decimals Fractions and decimals are two different ways to represent numbers. To convert a fraction like 4/7 into a decimal, you divide the numerator (4) by the denominator (7), resulting in approximately 0.5714. This understanding is crucial for precision in measurements, financial calculations, and scientific […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 1/16 as a percent?
Answer: 1/16 as a percent is 6.25%. Converting Fractions to Percentages Fractions and percentages are both ways to express quantities relative to a whole. To convert a fraction like 1/16 to a percent, you divide 1 by 16 and then multiply by 100, resulting in 6.25%. This conversion is vital in understanding proportions, rates, and […]
Jo-ann Caballes
January 19, 2024
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What is 2/7 as a decimal?
Answer: 2/7 as a decimal is approximately 0.2857. Converting Fractions to Decimals Fractions and decimals both represent numbers that are not whole. Converting a fraction like 2/7 into a decimal involves dividing the numerator (2) by the denominator (7), which results in approximately 0.2857. This skill is fundamental in various mathematical and real-life scenarios, such […]
Yaren Fadiloglulari
January 19, 2024
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What is the only solution of 2x² + 8x = x² – 16?
Answer: The only solution is x = -8. Solving Quadratic Equations Solving quadratic equations like 2x² + 8x = x² – 16 involves finding the values of x that make the equation true. By rearranging the equation, we get 2x² – x² + 8x + 16 = 0, which simplifies to x² + 8x + […]
Maila Caliao
January 19, 2024
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What is 6% as a fraction?
Answer: 6% as a fraction is 6/100 or simplified to 3/50. Percentages as Fractions Percentages are a way of expressing a number as a part of 100. To convert a percentage to a fraction, simply place the percentage number over 100. For 6%, this becomes 6/100, which can be further simplified to 3/50. This conversion […]
Laila A. Lico
January 19, 2024
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What is 4/5 as a percent?
Answer: 4/5 as a percent is 80%. Converting Fractions to Percentages To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For 4/5, divide 4 by 5 to get 0.8 and then multiply by 100 to get 80%. This conversion is essential in understanding ratios, proportions, and […]
Phoebe Belza-Barrientos
January 19, 2024
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What is 3/10 as a decimal?
Answer: 3/10 as a decimal is 0.3. Decimals and Fractions Decimals and fractions are two different ways to represent numbers that are not whole. Converting a fraction like 3/10 into a decimal is straightforward; divide the numerator (3) by the denominator (10), resulting in 0.3. This conversion is vital in various mathematical and practical scenarios, […]
Marvi M. Andres
January 19, 2024
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What is 10ml in Ounces?
Answer: 10ml is approximately 0.338 ounces. Volume Conversion Converting units of volume, such as milliliters (ml) to ounces, is a common requirement in various fields like cooking, science, and medicine. To convert 10ml to ounces, use the conversion factor 1 ml ≈ 0.0338 ounces. Therefore, 10ml is approximately 0.338 ounces. This understanding is crucial for […]
Yaren Fadiloglulari
January 19, 2024
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What is 80% of 40?
Answer: 80% of 40 is 32. Mastering Percentages Percentages are used to represent a portion of a total. To find 80% of 40, multiply 40 by 0.80 (as 80% is equivalent to 0.80). This equals 32. Understanding how to calculate percentages is crucial in various scenarios like finance (calculating interest or discounts), statistics (analyzing data), […]
Florence Khitsane
January 19, 2024
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What is the average number of weeks in a month?
Answer: Approximately 4.33 weeks Understanding Time and Averages The average number of weeks in a month can be calculated by dividing the total number of weeks in a year by the number of months. A year typically has 52 weeks, and there are 12 months in a year. Thus, the average number of weeks in […]
Maila Caliao
January 9, 2024
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What is 20% of 45?
Answer: 9 Percentage and Its Applications Calculating 20% of 45 involves converting the percentage to a decimal (0.20) and then multiplying it by 45. The result is 0.20×45=9. Understanding how to calculate percentages of numbers is important in mathematics and various real-life scenarios, including finance for calculating discounts and interest, retail for understanding sales, and […]
Phoebe Belza-Barrientos
January 9, 2024
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What is the next number in this sequence 7 , 10 , 16 , 28 , 52
Answer: 94 Pattern Recognition and Sequencing The sequence shows a pattern where each number is the sum of the previous number and an incrementally increasing even number (3, 6, 12, 24…). Following this pattern, after 52, the next increment is 42 (double the previous increment of 21). Therefore, the next number is 52+42=94. Recognizing patterns […]
Florence Khitsane
January 9, 2024
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What is 20% of 90?
Answer: 18 Calculating Basic Percentages Calculating 20% of 90 involves converting the percentage to a decimal (0.20) and then multiplying it by 90. The result is 0.20×90=18. Understanding how to calculate percentages of numbers is a fundamental skill in mathematics and is widely used in real-life scenarios such as determining discounts, calculating tips, and understanding […]
Marvi M. Andres
January 9, 2024
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What is 3 to the 3rd power?
Answer: 27 Exponential Calculations Calculating 3 to the 3rd power, denoted as 3^3, means multiplying 3 by itself two more times (3 × 3 × 3). The result is 27. Understanding exponential calculations is crucial in mathematics, as it represents repeated multiplication and is fundamental in various fields, including finance for calculating compound interest, physics […]
Rachelle Bencio Yu
January 9, 2024
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What is 80% of 50?
Answer: 40 Basic Percentage Calculations Calculating 80% of 50 involves converting the percentage to a decimal (0.80) and then multiplying it by 50. The result is 0.80×50=40. Understanding how to calculate percentages of numbers is a fundamental skill in mathematics and is widely used in real-life scenarios such as determining discounts, calculating tips, and understanding […]
Mary Grace Carlos
January 9, 2024
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What is 32 degrees Fahrenheit in Celsius?
Answer: 0 degrees Celsius Fahrenheit to Celsius Conversion Converting 32 degrees Fahrenheit to Celsius is done using the formula C=(F−32)×5/9. Therefore, C=(32−32)×5/9 equals 0 degrees Celsius. This conversion is essential for understanding temperature in different measurement systems. It’s especially important in fields like meteorology, cooking, and scientific research. Understanding how to convert temperatures between Fahrenheit […]
Maila Caliao
January 9, 2024
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What is 2 to the 3rd power?
Answer: 8 Exponential Calculations Calculating 2 to the 3rd power, denoted as 2^3, means multiplying 2 by itself two more times (2 × 2 × 2). The result is 8. Understanding exponential calculations is crucial in mathematics, as it represents repeated multiplication and is fundamental in various fields, including finance for calculating compound interest, physics […]
Laila A. Lico
January 9, 2024
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What is 5/2 as a decimal?
Answer: 2.5 Fraction to Decimal Conversion Converting 5/2 to a decimal involves dividing the numerator (5) by the denominator (2). The result is 2.5. This conversion from fraction to decimal is important in mathematics as it enables different forms of numerical representation. Converting fractions to decimals is practical in various scenarios, including financial calculations, engineering […]
Yaren Fadiloglulari
January 9, 2024
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What is 7/4 as a mixed number?
Answer: 1 3/4 Converting Improper Fractions To convert 7/4 to a mixed number, divide the numerator by the denominator. Since 7 divided by 4 is 1 with a remainder of 3, the mixed number is 1 3/4. Understanding how to convert improper fractions to mixed numbers is important in mathematics, especially in fields requiring precise […]
Maila Caliao
January 9, 2024
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What is 3/2 as a decimal?
Answer: 1.5 Decimal Representation of Fractions Converting 3/2 to a decimal involves dividing the numerator (3) by the denominator (2). The result is 1.5. Converting fractions to decimals is a fundamental skill in mathematics, allowing for different forms of numerical representation and more flexibility in calculations and comparisons. This conversion is used in various real-life […]
Florence Khitsane
January 9, 2024
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What is 15% of 40?
Answer: 6 Basic Percentage Calculations Calculating 15% of 40 involves converting the percentage to a decimal (0.15) and then multiplying it by 40. The result is 0.15×40=6. Understanding how to calculate percentages of numbers is a fundamental skill in mathematics and is widely used in real-life scenarios such as determining discounts, calculating tips, and understanding […]
Marvi M. Andres
January 9, 2024
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What is 2/4 as a percent?
Answer: 50% Fraction to Percentage Conversion To convert 2/4 to a percentage, first simplify the fraction to 1/2. Then, multiply the fraction by 100 to convert it to a percentage. The calculation is 1/2×100=50. This conversion is essential in mathematics for understanding the relationship between fractions and percentages. It is used in various real-life applications, […]
Jessica Kaminski
January 9, 2024
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What is half of 5/8?
Answer: 5/16 Dividing Fractions To find half of 5/8, you multiply 5/8 by 1/2. The calculation is 5/8×1/2=5/16. Understanding how to divide fractions is a critical mathematical skill, particularly in fields requiring precise measurement and calculation, such as cooking, construction, and scientific experiments. Fraction division is used in various everyday scenarios, and it is also […]
Mary Grace Carlos
January 9, 2024
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Why must there be at least two lines on any given plane?
Answer: To define a plane Basic Geometry Concepts A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions. For a plane to be defined, at least two non-parallel lines are required. These lines must lie flat on the surface and provide a reference or framework for the plane. The concept […]
Franz Jerby Delos Santos
January 9, 2024
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What is .16 as a Fraction?
Answer: 4/25 Converting Decimals to Fractions The decimal 0.16 can be expressed as a fraction by recognizing it as 16 out of 100 or 16/100. Simplifying this fraction by dividing both numerator and denominator by 4 gives 4/25. Converting decimals to fractions is a crucial skill in mathematics, as it aids in understanding different representations […]
Yaren Fadiloglulari
January 9, 2024
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What is 4 to the 3rd power?
Answer: 64 Exponential Calculations Calculating 4 to the 3rd power, denoted as 4^3, means multiplying 4 by itself two more times (4 × 4 × 4). The result is 64. Understanding exponential calculations is crucial in mathematics, as it represents repeated multiplication and is fundamental in various fields, including finance for calculating compound interest, physics […]
Laila A. Lico
January 9, 2024