| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Solve 3 + (5 + 2) ÷ 4 x 5 - 42
| 2\(\frac{2}{3}\) | |
| 2\(\frac{1}{3}\) | |
| -4\(\frac{1}{4}\) | |
| 2 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (5 + 2) ÷ 4 x 5 - 42
P: 3 + (7) ÷ 4 x 5 - 42
E: 3 + 7 ÷ 4 x 5 - 16
MD: 3 + \( \frac{7}{4} \) x 5 - 16
MD: 3 + \( \frac{35}{4} \) - 16
AS: \( \frac{12}{4} \) + \( \frac{35}{4} \) - 16
AS: \( \frac{47}{4} \) - 16
AS: \( \frac{47 - 64}{4} \)
\( \frac{-17}{4} \)
-4\(\frac{1}{4}\)
Simplify \( \sqrt{50} \)
| 4\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
Charlie loaned Jennifer $600 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $624 | |
| $612 | |
| $654 | |
| $630 |
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 = 0.02 x $600
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $600 + $12Which of the following is not a prime number?
9 |
|
2 |
|
7 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
If all of a roofing company's 20 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
| 1 | |
| 16 | |
| 2 | |
| 8 |
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 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 9 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 9 x 4 = 36 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 36 - 20 = 16 new staff for the busy season.