| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
| 1 | |
| 7.2 | |
| 1.0 | |
| 4.9 |
1
What is the distance in miles of a trip that takes 7 hours at an average speed of 20 miles per hour?
| 25 miles | |
| 45 miles | |
| 275 miles | |
| 140 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 20mph \times 7h \)
140 miles
If a mayor is elected with 89% of the votes cast and 62% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?
| 11,588 | |
| 8,854 | |
| 10,807 | |
| 11,327 |
If 62% of the town's 21,000 voters cast ballots the number of votes cast is:
(\( \frac{62}{100} \)) x 21,000 = \( \frac{1,302,000}{100} \) = 13,020
The mayor got 89% of the votes cast which is:
(\( \frac{89}{100} \)) x 13,020 = \( \frac{1,158,780}{100} \) = 11,588 votes.
If there were a total of 450 raffle tickets sold and you bought 9 tickets, what's the probability that you'll win the raffle?
| 11% | |
| 19% | |
| 2% | |
| 12% |
You have 9 out of the total of 450 raffle tickets sold so you have a (\( \frac{9}{450} \)) x 100 = \( \frac{9 \times 100}{450} \) = \( \frac{900}{450} \) = 2% chance to win the raffle.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 3:8 | |
| 1:1 | |
| 7:2 | |
| 9:2 |
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.