| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 20 miles per hour?
| 70 miles | |
| 90 miles | |
| 350 miles | |
| 120 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 = \( 20mph \times 6h \)
120 miles
If a rectangle is twice as long as it is wide and has a perimeter of 6 meters, what is the area of the rectangle?
| 98 m2 | |
| 32 m2 | |
| 2 m2 | |
| 162 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 6 meters so the equation becomes: 2w + 2h = 6.
Putting these two equations together and solving for width (w):
2w + 2h = 6
w + h = \( \frac{6}{2} \)
w + h = 3
w = 3 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 3 - 2w
3w = 3
w = \( \frac{3}{3} \)
w = 1
Since h = 2w that makes h = (2 x 1) = 2 and the area = h x w = 1 x 2 = 2 m2
Which of the following is not a prime number?
5 |
|
7 |
|
9 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
How many hours does it take a car to travel 250 miles at an average speed of 50 miles per hour?
| 7 hours | |
| 5 hours | |
| 8 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 = \( \frac{250mi}{50mph} \)
5 hours
What is \( \frac{21\sqrt{10}}{3\sqrt{5}} \)?
| 2 \( \sqrt{7} \) | |
| 2 \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{10}}{3\sqrt{5}} \)
\( \frac{21}{3} \) \( \sqrt{\frac{10}{5}} \)
7 \( \sqrt{2} \)