| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 75 miles per hour?
| 525 miles | |
| 140 miles | |
| 320 miles | |
| 60 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 75mph \times 7h \)
525 miles
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{7}{8}\) cup, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 3\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups
A triathlon course includes a 100m swim, a 50.7km bike ride, and a 12.7km run. What is the total length of the race course?
| 48.6km | |
| 63.5km | |
| 62.3km | |
| 57.5km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.7km + 12.7km
total distance = 63.5km
If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 8 | |
| 9 | |
| 1 | |
| 2 |
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 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 6 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 6 x 2 = 12 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 12 - 4 = 8 new staff for the busy season.
Simplify \( \sqrt{80} \)
| 3\( \sqrt{10} \) | |
| 4\( \sqrt{5} \) | |
| 6\( \sqrt{10} \) | |
| 5\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)