| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a car travels 120 miles in 3 hours, what is the average speed?
| 15 mph | |
| 30 mph | |
| 35 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the distance in miles of a trip that takes 7 hours at an average speed of 30 miles per hour?
| 210 miles | |
| 160 miles | |
| 40 miles | |
| 60 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 = \( 30mph \times 7h \)
210 miles
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Bob buys two shirts, each with a regular price of $25, how much will he pay for both shirts?
| $45.00 | |
| $5.00 | |
| $20.00 | |
| $30.00 |
By buying two shirts, Bob will save $25 x \( \frac{20}{100} \) = \( \frac{$25 x 20}{100} \) = \( \frac{$500}{100} \) = $5.00 on the second shirt.
So, his total cost will be
$25.00 + ($25.00 - $5.00)
$25.00 + $20.00
$45.00
If a rectangle is twice as long as it is wide and has a perimeter of 36 meters, what is the area of the rectangle?
| 72 m2 | |
| 8 m2 | |
| 50 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 36 meters so the equation becomes: 2w + 2h = 36.
Putting these two equations together and solving for width (w):
2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6
Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m2
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = b |
|
all of these are false |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).