| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
If a car travels 390 miles in 6 hours, what is the average speed?
| 65 mph | |
| 70 mph | |
| 55 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If a mayor is elected with 51% of the votes cast and 87% of a town's 9,000 voters cast a vote, how many votes did the mayor receive?
| 5,873 | |
| 6,656 | |
| 6,029 | |
| 3,993 |
If 87% of the town's 9,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 9,000 = \( \frac{783,000}{100} \) = 7,830
The mayor got 51% of the votes cast which is:
(\( \frac{51}{100} \)) x 7,830 = \( \frac{399,330}{100} \) = 3,993 votes.
How many hours does it take a car to travel 105 miles at an average speed of 15 miles per hour?
| 9 hours | |
| 7 hours | |
| 5 hours | |
| 6 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 = \( \frac{105mi}{15mph} \)
7 hours
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 30 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?
| 40 | |
| 34 | |
| 29 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{40}{100} \) = \( \frac{40 x 30}{100} \) = \( \frac{1200}{100} \) = 12 shots
The center makes 30% 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 = \( \frac{12}{\frac{30}{100}} \) = 12 x \( \frac{100}{30} \) = \( \frac{12 x 100}{30} \) = \( \frac{1200}{30} \) = 40 shots
to make the same number of shots as the guard and thus score the same number of points.