| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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least common multiple |
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greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If there were a total of 450 raffle tickets sold and you bought 36 tickets, what's the probability that you'll win the raffle?
| 7% | |
| 8% | |
| 13% | |
| 16% |
You have 36 out of the total of 450 raffle tickets sold so you have a (\( \frac{36}{450} \)) x 100 = \( \frac{36 \times 100}{450} \) = \( \frac{3600}{450} \) = 8% chance to win the raffle.
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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mixed number |
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integer |
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.
How many hours does it take a car to travel 60 miles at an average speed of 15 miles per hour?
| 5 hours | |
| 1 hour | |
| 4 hours | |
| 7 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 = \( \frac{60mi}{15mph} \)
4 hours
What is \( 7 \)\( \sqrt{48} \) + \( 8 \)\( \sqrt{3} \)
| 36\( \sqrt{3} \) | |
| 15\( \sqrt{144} \) | |
| 15\( \sqrt{3} \) | |
| 56\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
7\( \sqrt{48} \) + 8\( \sqrt{3} \)
7\( \sqrt{16 \times 3} \) + 8\( \sqrt{3} \)
7\( \sqrt{4^2 \times 3} \) + 8\( \sqrt{3} \)
(7)(4)\( \sqrt{3} \) + 8\( \sqrt{3} \)
28\( \sqrt{3} \) + 8\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
28\( \sqrt{3} \) + 8\( \sqrt{3} \)