| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is \( \frac{4}{5} \) x \( \frac{2}{8} \)?
| \(\frac{1}{9}\) | |
| 1 | |
| \(\frac{1}{15}\) | |
| \(\frac{1}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{2}{8} \) = \( \frac{4 x 2}{5 x 8} \) = \( \frac{8}{40} \) = \(\frac{1}{5}\)
Simplify \( \sqrt{50} \)
| 5\( \sqrt{2} \) | |
| 7\( \sqrt{4} \) | |
| 5\( \sqrt{4} \) | |
| 2\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{50} \)
\( \sqrt{25 \times 2} \)
\( \sqrt{5^2 \times 2} \)
5\( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Alex buys two shirts, each with a regular price of $33, how much money will he save?
| $3.30 | |
| $11.55 | |
| $9.90 | |
| $8.25 |
By buying two shirts, Alex will save $33 x \( \frac{30}{100} \) = \( \frac{$33 x 30}{100} \) = \( \frac{$990}{100} \) = $9.90 on the second shirt.
How many hours does it take a car to travel 100 miles at an average speed of 25 miles per hour?
| 3 hours | |
| 1 hour | |
| 4 hours | |
| 8 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{100mi}{25mph} \)
4 hours
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 25 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?
| 29 | |
| 20 | |
| 17 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{40}{100} \) = \( \frac{40 x 25}{100} \) = \( \frac{1000}{100} \) = 10 shots
The center makes 35% 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 = \( \frac{10}{\frac{35}{100}} \) = 10 x \( \frac{100}{35} \) = \( \frac{10 x 100}{35} \) = \( \frac{1000}{35} \) = 29 shots
to make the same number of shots as the guard and thus score the same number of points.