| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is (y4)5?
| y | |
| y-1 | |
| y20 | |
| 5y4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y4)5Which of the following is a mixed number?
\({a \over 5} \) |
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\({5 \over 7} \) |
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\({7 \over 5} \) |
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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.
Solve for \( \frac{4!}{3!} \)
| 7 | |
| 4 | |
| \( \frac{1}{210} \) | |
| \( \frac{1}{7} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{3!} \)
\( \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{4}{1} \)
4
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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mixed number |
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integer |
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.
If a mayor is elected with 80% of the votes cast and 76% of a town's 17,000 voters cast a vote, how many votes did the mayor receive?
| 8,915 | |
| 10,336 | |
| 8,527 | |
| 7,106 |
If 76% of the town's 17,000 voters cast ballots the number of votes cast is:
(\( \frac{76}{100} \)) x 17,000 = \( \frac{1,292,000}{100} \) = 12,920
The mayor got 80% of the votes cast which is:
(\( \frac{80}{100} \)) x 12,920 = \( \frac{1,033,600}{100} \) = 10,336 votes.