April scored 73% on the test meaning she earned 73% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.73 = 44 points. Each question is worth 2 points so she got \( \frac{44}{2} \) = 22 questions right.

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{5} \) x \( \frac{3}{7} \) = \( \frac{1 x 3}{5 x 7} \) = \( \frac{3}{35} \) = \(\frac{3}{35}\)

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 multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-7z⁵ x 8z⁵
(-7 x 8)z^{(5 + 5)}
-56z¹⁰

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 20.3km + 12.3km
total distance = 32.9km