| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
The __________ is the greatest factor that divides two integers.
greatest common factor |
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least common multiple |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A tiger in a zoo has consumed 72 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
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If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 108 - 72 = 36 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{36}{12} \) = 3 more days.
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1
Convert c-4 to remove the negative exponent.
| \( \frac{-1}{-4c} \) | |
| \( \frac{-1}{-4c^{4}} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{1}{c^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( 6 \)\( \sqrt{112} \) + \( 3 \)\( \sqrt{7} \)
| 27\( \sqrt{7} \) | |
| 18\( \sqrt{16} \) | |
| 9\( \sqrt{112} \) | |
| 18\( \sqrt{784} \) |
To add these radicals together their radicands must be the same:
6\( \sqrt{112} \) + 3\( \sqrt{7} \)
6\( \sqrt{16 \times 7} \) + 3\( \sqrt{7} \)
6\( \sqrt{4^2 \times 7} \) + 3\( \sqrt{7} \)
(6)(4)\( \sqrt{7} \) + 3\( \sqrt{7} \)
24\( \sqrt{7} \) + 3\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{7} \) + 3\( \sqrt{7} \)