| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
How many hours does it take a car to travel 110 miles at an average speed of 55 miles per hour?
| 6 hours | |
| 3 hours | |
| 2 hours | |
| 7 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 = \( \frac{110mi}{55mph} \)
2 hours
Find the average of the following numbers: 12, 8, 11, 9.
| 14 | |
| 11 | |
| 10 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 8 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 60% 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 | |
| 20 | |
| 19 | |
| 23 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{60}{100} \) = \( \frac{60 x 15}{100} \) = \( \frac{900}{100} \) = 9 shots
The center makes 45% 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 = \( \frac{9}{\frac{45}{100}} \) = 9 x \( \frac{100}{45} \) = \( \frac{9 x 100}{45} \) = \( \frac{900}{45} \) = 20 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 64 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 112 pounds?
| 13 | |
| 3 | |
| 6 | |
| 32 |
If the tiger has consumed 64 pounds of food in 8 days that's \( \frac{64}{8} \) = 8 pounds of food per day. The tiger needs to consume 112 - 64 = 48 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's \( \frac{48}{8} \) = 6 more days.
a(b + c) = ab + ac defines which of the following?
distributive property for division |
|
commutative property for multiplication |
|
distributive property for multiplication |
|
commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.