| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If a car travels 45 miles in 3 hours, what is the average speed?
| 40 mph | |
| 15 mph | |
| 25 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of these numbers is a factor of 56?
| 1 | |
| 2 | |
| 41 | |
| 44 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
What is 4\( \sqrt{7} \) x 6\( \sqrt{5} \)?
| 24\( \sqrt{7} \) | |
| 24\( \sqrt{12} \) | |
| 24\( \sqrt{35} \) | |
| 10\( \sqrt{7} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{7} \) x 6\( \sqrt{5} \)
(4 x 6)\( \sqrt{7 \times 5} \)
24\( \sqrt{35} \)
Solve for \( \frac{6!}{5!} \)
| 7 | |
| 6 | |
| 210 | |
| 840 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{5!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{6}{1} \)
6
Find the average of the following numbers: 9, 3, 8, 4.
| 10 | |
| 6 | |
| 11 | |
| 2 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6