| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 7 | |
| 8 | |
| 6 | |
| 4 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
Convert x-3 to remove the negative exponent.
| \( \frac{-3}{x} \) | |
| \( \frac{1}{x^3} \) | |
| \( \frac{-1}{-3x^{3}} \) | |
| \( \frac{-3}{-x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 50 | |
| 29 | |
| 38 | |
| 47 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 30% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{30}{100}} \) = 15 x \( \frac{100}{30} \) = \( \frac{15 x 100}{30} \) = \( \frac{1500}{30} \) = 50 shots
to make the same number of shots as the guard and thus score the same number of points.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Monty buys two shirts, each with a regular price of $45, how much money will he save?
| $13.50 | |
| $11.25 | |
| $6.75 | |
| $15.75 |
By buying two shirts, Monty will save $45 x \( \frac{30}{100} \) = \( \frac{$45 x 30}{100} \) = \( \frac{$1350}{100} \) = $13.50 on the second shirt.
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?
| 10 | |
| 15 | |
| 2 | |
| 16 |
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.