| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
If a car travels 200 miles in 4 hours, what is the average speed?
| 60 mph | |
| 30 mph | |
| 55 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If a rectangle is twice as long as it is wide and has a perimeter of 12 meters, what is the area of the rectangle?
| 8 m2 | |
| 2 m2 | |
| 72 m2 | |
| 50 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 12 meters so the equation becomes: 2w + 2h = 12.
Putting these two equations together and solving for width (w):
2w + 2h = 12
w + h = \( \frac{12}{2} \)
w + h = 6
w = 6 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 6 - 2w
3w = 6
w = \( \frac{6}{3} \)
w = 2
Since h = 2w that makes h = (2 x 2) = 4 and the area = h x w = 2 x 4 = 8 m2
Solve for \( \frac{2!}{5!} \)
| \( \frac{1}{60} \) | |
| \( \frac{1}{1680} \) | |
| \( \frac{1}{5} \) | |
| 8 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)
What is the distance in miles of a trip that takes 7 hours at an average speed of 45 miles per hour?
| 315 miles | |
| 135 miles | |
| 270 miles | |
| 65 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 = \( 45mph \times 7h \)
315 miles
| 3.5 | |
| 0.6 | |
| 1 | |
| 2.4 |
1