| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
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 8 complete crews out on jobs?
| 17 | |
| 5 | |
| 6 | |
| 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 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. 8 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 8 x 2 = 16 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 16 - 8 = 8 new staff for the busy season.
Roger loaned Betty $500 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $505 | |
| $520 | |
| $540 | |
| $515 |
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 $500
i = 0.08 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $40What is the greatest common factor of 64 and 80?
| 3 | |
| 64 | |
| 16 | |
| 28 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 64 and 80 have in common.
What is 8a4 - 5a4?
| -3a4 | |
| 3a4 | |
| 13a4 | |
| 13a8 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
8a4 - 5a4
(8 - 5)a4
3a4
A triathlon course includes a 200m swim, a 20.8km bike ride, and a 15.1km run. What is the total length of the race course?
| 36.1km | |
| 30.7km | |
| 31km | |
| 35km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.8km + 15.1km
total distance = 36.1km