| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.90 |
| Score | 0% | 78% |
What is the greatest common factor of 68 and 64?
| 4 | |
| 42 | |
| 6 | |
| 58 |
The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 64 have in common.
If a car travels 60 miles in 4 hours, what is the average speed?
| 55 mph | |
| 20 mph | |
| 30 mph | |
| 15 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 \( \frac{3}{5} \) x \( \frac{2}{5} \)?
| \(\frac{1}{14}\) | |
| \(\frac{2}{35}\) | |
| \(\frac{6}{25}\) | |
| \(\frac{3}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{2}{5} \) = \( \frac{3 x 2}{5 x 5} \) = \( \frac{6}{25} \) = \(\frac{6}{25}\)
How many hours does it take a car to travel 75 miles at an average speed of 25 miles per hour?
| 6 hours | |
| 8 hours | |
| 3 hours | |
| 1 hour |
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 = \( \frac{75mi}{25mph} \)
3 hours
What is \( \frac{35\sqrt{36}}{5\sqrt{9}} \)?
| 7 \( \sqrt{\frac{1}{4}} \) | |
| 7 \( \sqrt{4} \) | |
| \(\frac{1}{7}\) \( \sqrt{4} \) | |
| 4 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{36}}{5\sqrt{9}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{36}{9}} \)
7 \( \sqrt{4} \)