| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.57 |
| Score | 0% | 51% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Roger buys two shirts, each with a regular price of $42, how much will he pay for both shirts?
| $56.70 | |
| $60.90 | |
| $71.40 | |
| $46.20 |
By buying two shirts, Roger will save $42 x \( \frac{30}{100} \) = \( \frac{$42 x 30}{100} \) = \( \frac{$1260}{100} \) = $12.60 on the second shirt.
So, his total cost will be
$42.00 + ($42.00 - $12.60)
$42.00 + $29.40
$71.40
If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 1 | |
| 18 | |
| 16 | |
| 19 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 28 - 12 = 16 new staff for the busy season.
What is \( 9 \)\( \sqrt{12} \) + \( 6 \)\( \sqrt{3} \)
| 54\( \sqrt{3} \) | |
| 24\( \sqrt{3} \) | |
| 54\( \sqrt{36} \) | |
| 15\( \sqrt{36} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{12} \) + 6\( \sqrt{3} \)
9\( \sqrt{4 \times 3} \) + 6\( \sqrt{3} \)
9\( \sqrt{2^2 \times 3} \) + 6\( \sqrt{3} \)
(9)(2)\( \sqrt{3} \) + 6\( \sqrt{3} \)
18\( \sqrt{3} \) + 6\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{3} \) + 6\( \sqrt{3} \)If a mayor is elected with 78% of the votes cast and 59% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 11,045 | |
| 9,204 | |
| 9,770 | |
| 12,744 |
If 59% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{59}{100} \)) x 24,000 = \( \frac{1,416,000}{100} \) = 14,160
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 14,160 = \( \frac{1,104,480}{100} \) = 11,045 votes.
If there were a total of 350 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 6% | |
| 1% | |
| 15% | |
| 2% |
You have 7 out of the total of 350 raffle tickets sold so you have a (\( \frac{7}{350} \)) x 100 = \( \frac{7 \times 100}{350} \) = \( \frac{700}{350} \) = 2% chance to win the raffle.