| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.89 |
| Score | 0% | 78% |
How many hours does it take a car to travel 150 miles at an average speed of 50 miles per hour?
| 8 hours | |
| 3 hours | |
| 1 hour | |
| 9 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 = \( \frac{150mi}{50mph} \)
3 hours
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
improper fraction |
|
integer |
|
mixed number |
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.
What is \( \frac{49\sqrt{10}}{7\sqrt{5}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{2} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{49\sqrt{10}}{7\sqrt{5}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{10}{5}} \)
7 \( \sqrt{2} \)
If a car travels 175 miles in 5 hours, what is the average speed?
| 20 mph | |
| 40 mph | |
| 35 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Convert y-2 to remove the negative exponent.
| \( \frac{-2}{y} \) | |
| \( \frac{1}{y^2} \) | |
| \( \frac{2}{y} \) | |
| \( \frac{-1}{-2y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.