| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is \( \frac{-7y^6}{3y^3} \)?
| -2\(\frac{1}{3}\)y18 | |
| -2\(\frac{1}{3}\)y-3 | |
| -2\(\frac{1}{3}\)y3 | |
| -2\(\frac{1}{3}\)y9 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-7y^6}{3y^3} \)
\( \frac{-7}{3} \) y(6 - 3)
-2\(\frac{1}{3}\)y3
How many 13-passenger vans will it take to drive all 92 members of the football team to an away game?
| 4 vans | |
| 6 vans | |
| 8 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{92}{13} \) = 7\(\frac{1}{13}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $33, how much money will he save?
| $1.65 | |
| $3.30 | |
| $6.60 | |
| $14.85 |
By buying two shirts, Damon will save $33 x \( \frac{45}{100} \) = \( \frac{$33 x 45}{100} \) = \( \frac{$1485}{100} \) = $14.85 on the second shirt.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
improper fraction |
|
integer |
|
mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If 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 6 complete crews out on jobs?
| 14 | |
| 4 | |
| 12 | |
| 15 |
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. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 24 - 12 = 12 new staff for the busy season.