| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.39 |
| Score | 0% | 48% |
If a mayor is elected with 74% of the votes cast and 45% of a town's 46,000 voters cast a vote, how many votes did the mayor receive?
| 12,627 | |
| 15,318 | |
| 13,869 | |
| 11,799 |
If 45% of the town's 46,000 voters cast ballots the number of votes cast is:
(\( \frac{45}{100} \)) x 46,000 = \( \frac{2,070,000}{100} \) = 20,700
The mayor got 74% of the votes cast which is:
(\( \frac{74}{100} \)) x 20,700 = \( \frac{1,531,800}{100} \) = 15,318 votes.
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 25 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?
| 32 | |
| 24 | |
| 17 | |
| 40 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{35}{100} \) = \( \frac{35 x 25}{100} \) = \( \frac{875}{100} \) = 8 shots
The center makes 25% 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 = \( \frac{8}{\frac{25}{100}} \) = 8 x \( \frac{100}{25} \) = \( \frac{8 x 100}{25} \) = \( \frac{800}{25} \) = 32 shots
to make the same number of shots as the guard and thus score the same number of points.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $32, how much will he pay for both shirts?
| $51.20 | |
| $36.80 | |
| $41.60 | |
| $43.20 |
By buying two shirts, Monty will save $32 x \( \frac{40}{100} \) = \( \frac{$32 x 40}{100} \) = \( \frac{$1280}{100} \) = $12.80 on the second shirt.
So, his total cost will be
$32.00 + ($32.00 - $12.80)
$32.00 + $19.20
$51.20
| 3.6 | |
| 2.5 | |
| 1 | |
| 7.2 |
1
What is \( 3 \)\( \sqrt{8} \) - \( 9 \)\( \sqrt{2} \)
| -3\( \sqrt{2} \) | |
| -6\( \sqrt{8} \) | |
| 27\( \sqrt{4} \) | |
| 27\( \sqrt{16} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{8} \) - 9\( \sqrt{2} \)
3\( \sqrt{4 \times 2} \) - 9\( \sqrt{2} \)
3\( \sqrt{2^2 \times 2} \) - 9\( \sqrt{2} \)
(3)(2)\( \sqrt{2} \) - 9\( \sqrt{2} \)
6\( \sqrt{2} \) - 9\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{2} \) - 9\( \sqrt{2} \)