| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
If a car travels 75 miles in 3 hours, what is the average speed?
| 25 mph | |
| 20 mph | |
| 30 mph | |
| 55 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 \( \frac{7}{4} \) - \( \frac{8}{10} \)?
| \( \frac{6}{13} \) | |
| \( \frac{3}{10} \) | |
| 1 \( \frac{9}{14} \) | |
| \(\frac{19}{20}\) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 5}{4 x 5} \) - \( \frac{8 x 2}{10 x 2} \)
\( \frac{35}{20} \) - \( \frac{16}{20} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{35 - 16}{20} \) = \( \frac{19}{20} \) = \(\frac{19}{20}\)
Find the average of the following numbers: 9, 3, 8, 4.
| 6 | |
| 8 | |
| 2 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6
A factor is a positive __________ that divides evenly into a given number.
integer |
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fraction |
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improper fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is the least common multiple of 8 and 12?
| 38 | |
| 24 | |
| 26 | |
| 23 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 have in common.