| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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absolute value |
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greatest common factor |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If a mayor is elected with 73% of the votes cast and 68% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?
| 6,718 | |
| 9,432 | |
| 8,398 | |
| 8,269 |
If 68% of the town's 19,000 voters cast ballots the number of votes cast is:
(\( \frac{68}{100} \)) x 19,000 = \( \frac{1,292,000}{100} \) = 12,920
The mayor got 73% of the votes cast which is:
(\( \frac{73}{100} \)) x 12,920 = \( \frac{943,160}{100} \) = 9,432 votes.
How many 14-passenger vans will it take to drive all 33 members of the football team to an away game?
| 7 vans | |
| 3 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{33}{14} \) = 2\(\frac{5}{14}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
4! = ?
5 x 4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is \( 9 \)\( \sqrt{20} \) - \( 9 \)\( \sqrt{5} \)
| 81\( \sqrt{4} \) | |
| 0\( \sqrt{21} \) | |
| 9\( \sqrt{5} \) | |
| 0\( \sqrt{20} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{20} \) - 9\( \sqrt{5} \)
9\( \sqrt{4 \times 5} \) - 9\( \sqrt{5} \)
9\( \sqrt{2^2 \times 5} \) - 9\( \sqrt{5} \)
(9)(2)\( \sqrt{5} \) - 9\( \sqrt{5} \)
18\( \sqrt{5} \) - 9\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
18\( \sqrt{5} \) - 9\( \sqrt{5} \)