April scored 77% on the test meaning she earned 77% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.77 = 92 points. Each question is worth 2 points so she got \( \frac{92}{2} \) = 46 questions right.

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.

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

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{210mi}{70mph} \)
3 hours

If 49% of the town's 40,000 voters cast ballots the number of votes cast is:

(\( \frac{49}{100} \)) x 40,000 = \( \frac{1,960,000}{100} \) = 19,600

The mayor got 69% of the votes cast which is:

(\( \frac{69}{100} \)) x 19,600 = \( \frac{1,352,400}{100} \) = 13,524 votes.

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{2}{100} \) x 6 = \( \frac{2 \times 6}{100} \) = \( \frac{12}{100} \) = 0.12 errors per hour

So, in an average hour, the machine will produce 6 - 0.12 = 5.88 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 5.88 = 123.5 error free parts were produced yesterday.