| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
How many hours does it take a car to travel 50 miles at an average speed of 25 miles per hour?
| 6 hours | |
| 4 hours | |
| 8 hours | |
| 2 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 = \( \frac{50mi}{25mph} \)
2 hours
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 1\(\frac{3}{4}\) cups | |
| \(\frac{5}{8}\) cups | |
| 2\(\frac{3}{4}\) cups | |
| \(\frac{1}{2}\) cups |
The amount of flour you need is (2 - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups
10 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 7 | |
| 9 | |
| 3 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.
What is the greatest common factor of 52 and 60?
| 27 | |
| 48 | |
| 8 | |
| 4 |
The factors of 52 are [1, 2, 4, 13, 26, 52] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 the greatest factor 52 and 60 have in common.
Solve for \( \frac{4!}{5!} \)
| 30 | |
| 9 | |
| \( \frac{1}{840} \) | |
| \( \frac{1}{5} \) |
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:
\( \frac{4!}{5!} \)
\( \frac{4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5} \)
\( \frac{1}{5} \)