| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
A factor is a positive __________ that divides evenly into a given number.
integer |
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mixed number |
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fraction |
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improper fraction |
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 12-passenger vans will it take to drive all 71 members of the football team to an away game?
| 5 vans | |
| 8 vans | |
| 11 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{71}{12} \) = 5\(\frac{11}{12}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
Convert y-3 to remove the negative exponent.
| \( \frac{-1}{-3y^{3}} \) | |
| \( \frac{-3}{-y} \) | |
| \( \frac{1}{y^3} \) | |
| \( \frac{-1}{y^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 7:8 | |
| 1:2 | |
| 7:6 | |
| 9:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
Simplify \( \sqrt{48} \)
| 4\( \sqrt{6} \) | |
| 4\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)