| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
If all of a roofing company's 9 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?
| 17 | |
| 16 | |
| 15 | |
| 14 |
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 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 24 - 9 = 15 new staff for the busy season.
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 24 | |
| 31 | |
| 30 | |
| 38 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
What is \( \frac{3}{5} \) x \( \frac{2}{5} \)?
| \(\frac{8}{63}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{6}{25}\) | |
| \(\frac{1}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{2}{5} \) = \( \frac{3 x 2}{5 x 5} \) = \( \frac{6}{25} \) = \(\frac{6}{25}\)
What is the greatest common factor of 36 and 28?
| 25 | |
| 10 | |
| 4 | |
| 15 |
The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 28 have in common.
Ezra loaned Alex $600 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $120 | |
| $24 | |
| $49 | |
| $135 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $600
i = 0.04 x $600
i = $24