| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
If a mayor is elected with 63% of the votes cast and 86% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 27,090 | |
| 36,980 | |
| 32,250 | |
| 29,240 |
If 86% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{86}{100} \)) x 50,000 = \( \frac{4,300,000}{100} \) = 43,000
The mayor got 63% of the votes cast which is:
(\( \frac{63}{100} \)) x 43,000 = \( \frac{2,709,000}{100} \) = 27,090 votes.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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distributive |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is (y3)3?
| y9 | |
| y6 | |
| y0 | |
| 3y3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y3)3Simplify \( \frac{36}{64} \).
| \( \frac{9}{14} \) | |
| \( \frac{7}{15} \) | |
| \( \frac{9}{16} \) | |
| \( \frac{4}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{36}{64} \) = \( \frac{\frac{36}{4}}{\frac{64}{4}} \) = \( \frac{9}{16} \)
| 1.2 | |
| 1 | |
| 2.1 | |
| 0.6 |
1