| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest 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.
How many 8-passenger vans will it take to drive all 68 members of the football team to an away game?
| 5 vans | |
| 9 vans | |
| 17 vans | |
| 14 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{68}{8} \) = 8\(\frac{1}{2}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.
What is \( 2 \)\( \sqrt{80} \) - \( 9 \)\( \sqrt{5} \)
| 18\( \sqrt{16} \) | |
| -7\( \sqrt{400} \) | |
| 18\( \sqrt{400} \) | |
| -1\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{80} \) - 9\( \sqrt{5} \)
2\( \sqrt{16 \times 5} \) - 9\( \sqrt{5} \)
2\( \sqrt{4^2 \times 5} \) - 9\( \sqrt{5} \)
(2)(4)\( \sqrt{5} \) - 9\( \sqrt{5} \)
8\( \sqrt{5} \) - 9\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
8\( \sqrt{5} \) - 9\( \sqrt{5} \)Which of the following is a mixed number?
\({7 \over 5} \) |
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\({5 \over 7} \) |
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\({a \over 5} \) |
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\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
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