Question

calculate the appropriate percentages.
9.) 23% of 39 is what?
10.) 97 is 73% of what?
11.) 84% of what is 13?

Explanation:

Question 9

Step 1: Convert percentage to decimal

To find 23% of 39, first convert 23% to a decimal by dividing by 100. So, \( 23\% = \frac{23}{100} = 0.23 \).

Step 2: Multiply by the number

Now, multiply this decimal by 39. So, \( 0.23 \times 39 \).
Calculating \( 0.23\times39 = 8.97 \).

Step 1: Let the number be \( x \)

We know that 73% of \( x \) is 97. Mathematically, this can be written as \( 0.73x = 97 \) (since 73% = 0.73).

Step 2: Solve for \( x \)

To find \( x \), divide both sides of the equation by 0.73. So, \( x=\frac{97}{0.73}\approx132.88 \) (rounded to two decimal places).

Step 1: Let the number be \( y \)

We know that 84% of \( y \) is 13. Mathematically, this is \( 0.84y = 13 \) (since 84% = 0.84).

Step 2: Solve for \( y \)

To find \( y \), divide both sides of the equation by 0.84. So, \( y = \frac{13}{0.84}\approx15.48 \) (rounded to two decimal places).

Answer:

8.97

Question 10