| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If all of a roofing company's 6 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 4 complete crews out on jobs?
| 9 | |
| 19 | |
| 12 | |
| 6 |
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 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 4 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 4 x 3 = 12 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 12 - 6 = 6 new staff for the busy season.
What is the greatest common factor of 80 and 80?
| 80 | |
| 3 | |
| 44 | |
| 78 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 10 factors [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] making 80 the greatest factor 80 and 80 have in common.
Solve 4 + (5 + 4) ÷ 3 x 5 - 32
| \(\frac{8}{9}\) | |
| 1\(\frac{2}{7}\) | |
| 2 | |
| 10 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (5 + 4) ÷ 3 x 5 - 32
P: 4 + (9) ÷ 3 x 5 - 32
E: 4 + 9 ÷ 3 x 5 - 9
MD: 4 + \( \frac{9}{3} \) x 5 - 9
MD: 4 + \( \frac{45}{3} \) - 9
AS: \( \frac{12}{3} \) + \( \frac{45}{3} \) - 9
AS: \( \frac{57}{3} \) - 9
AS: \( \frac{57 - 27}{3} \)
\( \frac{30}{3} \)
10
Solve for \( \frac{2!}{6!} \)
| \( \frac{1}{504} \) | |
| \( \frac{1}{5} \) | |
| \( \frac{1}{60480} \) | |
| \( \frac{1}{360} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{6!} \)
\( \frac{2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5 \times 4 \times 3} \)
\( \frac{1}{360} \)
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.