| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
If a car travels 270 miles in 9 hours, what is the average speed?
| 30 mph | |
| 60 mph | |
| 75 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{35\sqrt{35}}{5\sqrt{5}} \)?
| \(\frac{1}{7}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{35}}{5\sqrt{5}} \)
\( \frac{35}{5} \) \( \sqrt{\frac{35}{5}} \)
7 \( \sqrt{7} \)
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% of his shots. If the guard takes 20 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?
| 12 | |
| 23 | |
| 17 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{30}{100} \) = \( \frac{30 x 20}{100} \) = \( \frac{600}{100} \) = 6 shots
The center makes 25% 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 = \( \frac{6}{\frac{25}{100}} \) = 6 x \( \frac{100}{25} \) = \( \frac{6 x 100}{25} \) = \( \frac{600}{25} \) = 24 shots
to make the same number of shots as the guard and thus score the same number of points.
A triathlon course includes a 400m swim, a 40.2km bike ride, and a 7.0km run. What is the total length of the race course?
| 47.6km | |
| 36.2km | |
| 27.2km | |
| 31.6km |
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 + 40.2km + 7.0km
total distance = 47.6km
A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have \(\frac{1}{4}\) cup, how much more flour is needed?
| 2\(\frac{3}{4}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3 cups |
The amount of flour you need is (2\(\frac{1}{2}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{20}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups