| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
The __________ is the greatest factor that divides two integers.
greatest common factor |
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greatest common multiple |
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least common multiple |
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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 150 raffle tickets sold and you bought 10 tickets, what's the probability that you'll win the raffle?
| 7% | |
| 9% | |
| 19% | |
| 1% |
You have 10 out of the total of 150 raffle tickets sold so you have a (\( \frac{10}{150} \)) x 100 = \( \frac{10 \times 100}{150} \) = \( \frac{1000}{150} \) = 7% chance to win the raffle.
What is \( 3 \)\( \sqrt{8} \) - \( 2 \)\( \sqrt{2} \)
| 6\( \sqrt{16} \) | |
| \( \sqrt{0} \) | |
| \( \sqrt{8} \) | |
| 4\( \sqrt{2} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{8} \) - 2\( \sqrt{2} \)
3\( \sqrt{4 \times 2} \) - 2\( \sqrt{2} \)
3\( \sqrt{2^2 \times 2} \) - 2\( \sqrt{2} \)
(3)(2)\( \sqrt{2} \) - 2\( \sqrt{2} \)
6\( \sqrt{2} \) - 2\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{2} \) - 2\( \sqrt{2} \)The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
The total water usage for a city is 20,000 gallons each day. Of that total, 24% is for personal use and 57% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 9,500 | |
| 9,100 | |
| 6,000 | |
| 6,600 |
57% of the water consumption is industrial use and 24% is personal use so (57% - 24%) = 33% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 20,000 gallons = 6,600 gallons.