| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Which of these numbers is a factor of 20?
| 1 | |
| 21 | |
| 10 | |
| 7 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
8 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 9 | |
| 2 | |
| 5 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 8 people needing transportation leaving 8 - 6 = 2 who will have to find other transportation.
What is \( \frac{27\sqrt{15}}{9\sqrt{3}} \)?
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{\frac{1}{5}} \) | |
| 3 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{27\sqrt{15}}{9\sqrt{3}} \)
\( \frac{27}{9} \) \( \sqrt{\frac{15}{3}} \)
3 \( \sqrt{5} \)
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 33 | |
| 28 | |
| 32 | |
| 27 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 30% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{10}{\frac{30}{100}} \) = 10 x \( \frac{100}{30} \) = \( \frac{10 x 100}{30} \) = \( \frac{1000}{30} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.
If a mayor is elected with 67% of the votes cast and 87% of a town's 12,000 voters cast a vote, how many votes did the mayor receive?
| 7,726 | |
| 5,324 | |
| 7,204 | |
| 6,995 |
If 87% of the town's 12,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 12,000 = \( \frac{1,044,000}{100} \) = 10,440
The mayor got 67% of the votes cast which is:
(\( \frac{67}{100} \)) x 10,440 = \( \frac{699,480}{100} \) = 6,995 votes.