| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
How many 7-passenger vans will it take to drive all 40 members of the football team to an away game?
| 9 vans | |
| 6 vans | |
| 5 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{40}{7} \) = 5\(\frac{5}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
In a class of 30 students, 14 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 29 | |
| 20 | |
| 10 | |
| 30 |
The number of students taking German or Spanish is 14 + 12 = 26. Of that group of 26, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 26 - 6 = 20 who are taking at least one language. 30 - 20 = 10 students who are not taking either language.
| 1.5 | |
| 1 | |
| 1.6 | |
| 5.4 |
1
What is \( \frac{3}{8} \) x \( \frac{3}{7} \)?
| 1\(\frac{1}{8}\) | |
| \(\frac{4}{21}\) | |
| 1\(\frac{2}{7}\) | |
| \(\frac{9}{56}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{3}{7} \) = \( \frac{3 x 3}{8 x 7} \) = \( \frac{9}{56} \) = \(\frac{9}{56}\)
How many hours does it take a car to travel 120 miles at an average speed of 20 miles per hour?
| 3 hours | |
| 1 hour | |
| 6 hours | |
| 9 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 = \( \frac{120mi}{20mph} \)
6 hours