| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
What is \( \frac{1}{5} \) ÷ \( \frac{4}{8} \)?
| 1\(\frac{3}{5}\) | |
| \(\frac{4}{21}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{3}{40}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{5 x 4} \) = \( \frac{8}{20} \) = \(\frac{2}{5}\)
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 | |
| 5 | |
| 15 | |
| 19 |
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.
Which of the following is not a prime number?
5 |
|
2 |
|
7 |
|
9 |
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.
What is the distance in miles of a trip that takes 7 hours at an average speed of 75 miles per hour?
| 495 miles | |
| 525 miles | |
| 560 miles | |
| 30 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 7h \)
525 miles
Roger loaned Frank $1,100 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?
| $21 | |
| $48 | |
| $99 | |
| $33 |
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 $1,100
i = 0.03 x $1,100
i = $33