| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
How many hours does it take a car to travel 130 miles at an average speed of 65 miles per hour?
| 4 hours | |
| 2 hours | |
| 1 hour | |
| 8 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{130mi}{65mph} \)
2 hours
In a class of 29 students, 12 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 6 | |
| 11 | |
| 14 |
The number of students taking German or Spanish is 12 + 14 = 26. Of that group of 26, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 26 - 3 = 23 who are taking at least one language. 29 - 23 = 6 students who are not taking either language.
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 15 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 17 | |
| 12 | |
| 11 | |
| 10 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{40}{100} \) = \( \frac{40 x 15}{100} \) = \( \frac{600}{100} \) = 6 shots
The center makes 35% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{6}{\frac{35}{100}} \) = 6 x \( \frac{100}{35} \) = \( \frac{6 x 100}{35} \) = \( \frac{600}{35} \) = 17 shots
to make the same number of shots as the guard and thus score the same number of points.
If a mayor is elected with 64% of the votes cast and 45% of a town's 33,000 voters cast a vote, how many votes did the mayor receive?
| 10,989 | |
| 9,504 | |
| 8,019 | |
| 9,059 |
If 45% of the town's 33,000 voters cast ballots the number of votes cast is:
(\( \frac{45}{100} \)) x 33,000 = \( \frac{1,485,000}{100} \) = 14,850
The mayor got 64% of the votes cast which is:
(\( \frac{64}{100} \)) x 14,850 = \( \frac{950,400}{100} \) = 9,504 votes.
Which of these numbers is a factor of 48?
| 35 | |
| 3 | |
| 10 | |
| 8 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.