| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
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 | |
| 1 | |
| 7 | |
| 4 |
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.
Solve for \( \frac{3!}{4!} \)
| \( \frac{1}{8} \) | |
| \( \frac{1}{504} \) | |
| \( \frac{1}{4} \) | |
| 8 |
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:
\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)
What is the least common multiple of 3 and 5?
| 6 | |
| 15 | |
| 1 | |
| 14 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.
Convert b-2 to remove the negative exponent.
| \( \frac{-2}{b} \) | |
| \( \frac{2}{b} \) | |
| \( \frac{1}{b^2} \) | |
| \( \frac{-1}{-2b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of these numbers is a factor of 16?
| 12 | |
| 13 | |
| 14 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.