| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Roger buys two shirts, each with a regular price of $44, how much will he pay for both shirts?
| $68.20 | |
| $24.20 | |
| $55.00 | |
| $63.80 |
By buying two shirts, Roger will save $44 x \( \frac{45}{100} \) = \( \frac{$44 x 45}{100} \) = \( \frac{$1980}{100} \) = $19.80 on the second shirt.
So, his total cost will be
$44.00 + ($44.00 - $19.80)
$44.00 + $24.20
$68.20
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 40 | |
| 54 | |
| 55 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Latoya scored 94% on her final exam. If each question was worth 2 points and there were 100 possible points on the exam, how many questions did Latoya answer correctly?
| 61 | |
| 47 | |
| 58 | |
| 52 |
Latoya scored 94% on the test meaning she earned 94% of the possible points on the test. There were 100 possible points on the test so she earned 100 x 0.94 = 94 points. Each question is worth 2 points so she got \( \frac{94}{2} \) = 47 questions right.
What is \( 4 \)\( \sqrt{48} \) + \( 3 \)\( \sqrt{3} \)
| 12\( \sqrt{16} \) | |
| 19\( \sqrt{3} \) | |
| 12\( \sqrt{3} \) | |
| 12\( \sqrt{48} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{48} \) + 3\( \sqrt{3} \)
4\( \sqrt{16 \times 3} \) + 3\( \sqrt{3} \)
4\( \sqrt{4^2 \times 3} \) + 3\( \sqrt{3} \)
(4)(4)\( \sqrt{3} \) + 3\( \sqrt{3} \)
16\( \sqrt{3} \) + 3\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{3} \) + 3\( \sqrt{3} \)If all of a roofing company's 8 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
| 10 | |
| 5 | |
| 4 | |
| 13 |
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 8 workers at the company now and that's enough to staff 4 crews so there are \( \frac{8}{4} \) = 2 workers on a crew. 9 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 9 x 2 = 18 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 18 - 8 = 10 new staff for the busy season.