| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
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 7 complete crews out on jobs?
| 11 | |
| 12 | |
| 6 | |
| 17 |
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. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 14 - 8 = 6 new staff for the busy season.
Simplify \( \sqrt{48} \)
| 4\( \sqrt{3} \) | |
| 4\( \sqrt{6} \) | |
| 2\( \sqrt{6} \) | |
| 7\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)
A tiger in a zoo has consumed 70 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 140 pounds?
| 7 | |
| 13 | |
| 1 | |
| 11 |
If the tiger has consumed 70 pounds of food in 7 days that's \( \frac{70}{7} \) = 10 pounds of food per day. The tiger needs to consume 140 - 70 = 70 more pounds of food to reach 140 pounds total. At 10 pounds of food per day that's \( \frac{70}{10} \) = 7 more days.
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Alex loaned Damon $1,500 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $45 | |
| $75 | |
| $5 | |
| $18 |
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 $1,500
i = 0.03 x $1,500
i = $45