| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
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?
| 9 | |
| 1 | |
| 7 | |
| 15 |
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.
Simplify \( \sqrt{8} \)
| 2\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) | |
| 8\( \sqrt{4} \) | |
| 9\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
What is the greatest common factor of 80 and 68?
| 62 | |
| 4 | |
| 17 | |
| 67 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 80 and 68 have in common.
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Ezra loaned Latoya $900 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $936 | |
| $927 | |
| $909 | |
| $954 |
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 $900
i = 0.03 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $27