Average speed in miles per hour is the number of miles traveled divided by the number of hours:

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{36}} \)
\( \frac{\sqrt{4}}{\sqrt{36}} \)
\( \frac{\sqrt{2^2}}{\sqrt{6^2}} \)
\(\frac{1}{3}\)

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 2) ÷ 4 x 4 - 5²
P: 4 + (5) ÷ 4 x 4 - 5²
E: 4 + 5 ÷ 4 x 4 - 25
MD: 4 + \( \frac{5}{4} \) x 4 - 25
MD: 4 + \( \frac{20}{4} \) - 25
AS: \( \frac{16}{4} \) + \( \frac{20}{4} \) - 25
AS: \( \frac{36}{4} \) - 25
AS: \( \frac{36 - 100}{4} \)
\( \frac{-64}{4} \)
-16

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $500
i = 0.07 x $500
i = $35