What is 107 as a mixed number?
To convert the whole number 107 into a mixed number, we need to understand what a mixed number is. A mixed number consists of a whole number and a proper fraction. Since 107 is already a whole number without any fractional part, it can be expressed simply as itself, or as a mixed number with […]
What is 30 as a fraction?
30 can be expressed as a fraction in multiple ways. The simplest form is to write it as 30/1. This means that 30 is equal to 30 divided by 1, which equals 30. Additionally, you could represent 30 as a fraction of a larger number. For instance, if we take 30 out of 60, it […]
How many pounds in a kilogram?
A kilogram is equivalent to approximately 2.20462 pounds. To understand this conversion, it’s helpful to know that the kilogram is a base unit of mass in the metric system, while the pound is a unit of weight commonly used in the United States. The relationship between the two units can be determined through a simple […]
What is the reciprocal of 2/3?
The reciprocal of a fraction is obtained by flipping the numerator and the denominator. Therefore, the reciprocal of 2/3 is 3/2. To find the reciprocal, you simply switch the two parts of the fraction. In this case, since the numerator is 2 and the denominator is 3, the reciprocal becomes 3 as the new numerator […]
What is 15 of 150?
To find out what 15 of 150 is, you need to calculate 15% of 150. To do this, you can use the formula: (Percentage / 100) x Total In this case, you want to find 15% of 150, so you would plug in the numbers: (15 / 100) x 150 First, divide 15 by 100, […]
Which expression represents x² + 8x + 16 in factored form?
To factor the quadratic expression x² + 8x + 16, we first look for two numbers that multiply to give us 16 (the constant term) and add to give us 8 (the coefficient of the linear term). The numbers that satisfy these conditions are 4 and 4, since: 4 * 4 = 16 4 + […]
How to Differentiate the Square Root Function f(x) = √(1 – x)?
To differentiate the square root function f(x) = √(1 – x), we can apply the chain rule of differentiation. The chain rule states that if you have a composite function, the derivative is the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function. In this case, […]
How do you divide a whole number by a decimal?
Dividing a whole number by a decimal can seem tricky at first, but it’s quite straightforward once you understand the steps involved. Here’s how you can do it: Convert the Decimal to a Whole Number: To simplify the division, you can multiply both the whole number and the decimal by the same power of 10 […]
How do you factor the expression x² + 2x – 3?
To factor the expression x² + 2x – 3, we need to find two numbers that multiply to give the constant term (-3) and add up to give the coefficient of the linear term (2). 1. **Identify the product and sum**: We want two numbers that multiply to -3 (the constant term) and add up […]
Volume is Measured in What Units?
Volume is typically measured in liters, cubic centimeters, gallons, quarts, and pints, among other units. The choice of unit often depends on the context in which volume is being measured. For instance, in scientific and medical settings, liters and milliliters are commonly used, while in cooking, cups or fluid ounces may be more prevalent. To […]