| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
A triathlon course includes a 400m swim, a 50.1km bike ride, and a 12.0km run. What is the total length of the race course?
| 64km | |
| 62.5km | |
| 53.7km | |
| 50.1km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 50.1km + 12.0km
total distance = 62.5km
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 10 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?
| 7 | |
| 6 | |
| 10 | |
| 9 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{35}{100} \) = \( \frac{35 x 10}{100} \) = \( \frac{350}{100} \) = 3 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 = \( \frac{3}{\frac{30}{100}} \) = 3 x \( \frac{100}{30} \) = \( \frac{3 x 100}{30} \) = \( \frac{300}{30} \) = 10 shots
to make the same number of shots as the guard and thus score the same number of points.
Convert b-5 to remove the negative exponent.
| \( \frac{-1}{-5b} \) | |
| \( \frac{-1}{b^{-5}} \) | |
| \( \frac{-5}{-b} \) | |
| \( \frac{1}{b^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is the greatest common factor of 44 and 28?
| 10 | |
| 4 | |
| 24 | |
| 18 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 28 have in common.
What is \( \frac{3}{5} \) x \( \frac{3}{5} \)?
| \(\frac{9}{25}\) | |
| \(\frac{4}{63}\) | |
| 1\(\frac{4}{5}\) | |
| \(\frac{1}{15}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{3}{5} \) = \( \frac{3 x 3}{5 x 5} \) = \( \frac{9}{25} \) = \(\frac{9}{25}\)