| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 4.05 |
| Score | 0% | 81% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 45 miles per hour?
| 480 miles | |
| 135 miles | |
| 180 miles | |
| 30 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 = \( 45mph \times 3h \)
135 miles
What is z2 x 5z5?
| 6z10 | |
| 5z7 | |
| 6z7 | |
| 5z-3 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
z2 x 5z5
(1 x 5)z(2 + 5)
5z7
What is (c4)3?
| c12 | |
| c-1 | |
| c7 | |
| 3c4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c4)3A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
mixed number |
|
fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
How many hours does it take a car to travel 280 miles at an average speed of 70 miles per hour?
| 7 hours | |
| 5 hours | |
| 1 hour | |
| 4 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 = \( \frac{280mi}{70mph} \)
4 hours