| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
| 2.1 | |
| 0.6 | |
| 1 | |
| 2.8 |
1
If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?
| 19 | |
| 10 | |
| 12 | |
| 3 |
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 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 8 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 8 x 2 = 16 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 16 - 6 = 10 new staff for the busy season.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Ezra buys two shirts, each with a regular price of $29, how much money will he save?
| $1.45 | |
| $5.80 | |
| $8.70 | |
| $7.25 |
By buying two shirts, Ezra will save $29 x \( \frac{20}{100} \) = \( \frac{$29 x 20}{100} \) = \( \frac{$580}{100} \) = $5.80 on the second shirt.
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 2 | |
| 4 | |
| 17 | |
| 11 |
The equation for this sequence is:
an = an-1 + 2
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 + 2
a6 = 9 + 2
a6 = 11
What is 6\( \sqrt{8} \) x 8\( \sqrt{4} \)?
| 14\( \sqrt{32} \) | |
| 192\( \sqrt{2} \) | |
| 48\( \sqrt{8} \) | |
| 14\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{8} \) x 8\( \sqrt{4} \)
(6 x 8)\( \sqrt{8 \times 4} \)
48\( \sqrt{32} \)
Now we need to simplify the radical:
48\( \sqrt{32} \)
48\( \sqrt{2 \times 16} \)
48\( \sqrt{2 \times 4^2} \)
(48)(4)\( \sqrt{2} \)
192\( \sqrt{2} \)