| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
What is \( \frac{4}{5} \) ÷ \( \frac{3}{5} \)?
| 4 | |
| \(\frac{3}{40}\) | |
| \(\frac{1}{10}\) | |
| 1\(\frac{1}{3}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{5} \) ÷ \( \frac{3}{5} \) = \( \frac{4}{5} \) x \( \frac{5}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{5}{3} \) = \( \frac{4 x 5}{5 x 3} \) = \( \frac{20}{15} \) = 1\(\frac{1}{3}\)
What is -9z3 + 5z3?
| 14z-3 | |
| -4z6 | |
| -14z-3 | |
| -4z3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-9z3 + 5z3
(-9 + 5)z3
-4z3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Charlie buys two shirts, each with a regular price of $48, how much money will he save?
| $9.60 | |
| $4.80 | |
| $12.00 | |
| $16.80 |
By buying two shirts, Charlie will save $48 x \( \frac{25}{100} \) = \( \frac{$48 x 25}{100} \) = \( \frac{$1200}{100} \) = $12.00 on the second shirt.
On average, the center for a basketball team hits 40% 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?
| 38 | |
| 28 | |
| 37 | |
| 41 |
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 40% 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 = \( \frac{15}{\frac{40}{100}} \) = 15 x \( \frac{100}{40} \) = \( \frac{15 x 100}{40} \) = \( \frac{1500}{40} \) = 38 shots
to make the same number of shots as the guard and thus score the same number of points.
The total water usage for a city is 35,000 gallons each day. Of that total, 32% is for personal use and 49% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,800 | |
| 3,150 | |
| 8,400 | |
| 5,950 |
49% of the water consumption is industrial use and 32% is personal use so (49% - 32%) = 17% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{17}{100} \) x 35,000 gallons = 5,950 gallons.