| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.83 |
| Score | 0% | 77% |
How many 9-passenger vans will it take to drive all 94 members of the football team to an away game?
| 8 vans | |
| 11 vans | |
| 6 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{94}{9} \) = 10\(\frac{4}{9}\)
So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.
If a car travels 60 miles in 3 hours, what is the average speed?
| 15 mph | |
| 55 mph | |
| 20 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Simplify \( \frac{32}{72} \).
| \( \frac{1}{3} \) | |
| \( \frac{5}{8} \) | |
| \( \frac{4}{9} \) | |
| \( \frac{1}{4} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{72} \) = \( \frac{\frac{32}{8}}{\frac{72}{8}} \) = \( \frac{4}{9} \)
Which of the following is a mixed number?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
| 4.5 | |
| 1.0 | |
| 1 | |
| 3.2 |
1