| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
How many hours does it take a car to travel 55 miles at an average speed of 55 miles per hour?
| 6 hours | |
| 1 hour | |
| 3 hours | |
| 9 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 = \( \frac{55mi}{55mph} \)
1 hour
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
none of these is correct |
|
a = 7 |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is the distance in miles of a trip that takes 2 hours at an average speed of 65 miles per hour?
| 130 miles | |
| 55 miles | |
| 110 miles | |
| 175 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 = \( 65mph \times 2h \)
130 miles
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% of his shots. If the guard takes 10 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?
| 15 | |
| 14 | |
| 24 | |
| 21 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{70}{100} \) = \( \frac{70 x 10}{100} \) = \( \frac{700}{100} \) = 7 shots
The center makes 50% 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 = \( \frac{7}{\frac{50}{100}} \) = 7 x \( \frac{100}{50} \) = \( \frac{7 x 100}{50} \) = \( \frac{700}{50} \) = 14 shots
to make the same number of shots as the guard and thus score the same number of points.
A tiger in a zoo has consumed 81 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 126 pounds?
| 11 | |
| 5 | |
| 10 | |
| 7 |
If the tiger has consumed 81 pounds of food in 9 days that's \( \frac{81}{9} \) = 9 pounds of food per day. The tiger needs to consume 126 - 81 = 45 more pounds of food to reach 126 pounds total. At 9 pounds of food per day that's \( \frac{45}{9} \) = 5 more days.