| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is (a4)4?
| a8 | |
| 4a4 | |
| a0 | |
| a16 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a4)4If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?
| 4 | |
| 14 | |
| 8 | |
| 5 |
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 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 5 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 5 x 4 = 20 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 20 - 12 = 8 new staff for the busy season.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Frank buys two shirts, each with a regular price of $25, how much will he pay for both shirts?
| $35.00 | |
| $48.75 | |
| $1.25 | |
| $28.75 |
By buying two shirts, Frank will save $25 x \( \frac{5}{100} \) = \( \frac{$25 x 5}{100} \) = \( \frac{$125}{100} \) = $1.25 on the second shirt.
So, his total cost will be
$25.00 + ($25.00 - $1.25)
$25.00 + $23.75
$48.75
What is \( \frac{4}{5} \) ÷ \( \frac{3}{7} \)?
| \(\frac{1}{27}\) | |
| \(\frac{3}{10}\) | |
| 9\(\frac{1}{3}\) | |
| 1\(\frac{13}{15}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{5} \) ÷ \( \frac{3}{7} \) = \( \frac{4}{5} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{7}{3} \) = \( \frac{4 x 7}{5 x 3} \) = \( \frac{28}{15} \) = 1\(\frac{13}{15}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.