| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
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least common multiple |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If a car travels 270 miles in 9 hours, what is the average speed?
| 60 mph | |
| 30 mph | |
| 25 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Find the average of the following numbers: 18, 10, 15, 13.
| 19 | |
| 17 | |
| 15 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{18 + 10 + 15 + 13}{4} \) = \( \frac{56}{4} \) = 14
Simplify \( \sqrt{112} \)
| 4\( \sqrt{7} \) | |
| 8\( \sqrt{14} \) | |
| 2\( \sqrt{14} \) | |
| 5\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
How many 11-passenger vans will it take to drive all 90 members of the football team to an away game?
| 9 vans | |
| 8 vans | |
| 10 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{90}{11} \) = 8\(\frac{2}{11}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.