| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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integer |
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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.
If a mayor is elected with 72% of the votes cast and 63% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?
| 8,618 | |
| 8,379 | |
| 8,020 | |
| 10,773 |
If 63% of the town's 19,000 voters cast ballots the number of votes cast is:
(\( \frac{63}{100} \)) x 19,000 = \( \frac{1,197,000}{100} \) = 11,970
The mayor got 72% of the votes cast which is:
(\( \frac{72}{100} \)) x 11,970 = \( \frac{861,840}{100} \) = 8,618 votes.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 65% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 32\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 25% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 65% the radius (and, consequently, the total area) increases by \( \frac{65\text{%}}{2} \) = 32\(\frac{1}{2}\)%
What is (z4)2?
| z8 | |
| z-2 | |
| 2z4 | |
| z2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)2A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Frank buys two shirts, each with a regular price of $37, how much money will he save?
| $18.50 | |
| $14.80 | |
| $5.55 | |
| 82 |
By buying two shirts, Frank will save $37 x \( \frac{50}{100} \) = \( \frac{$37 x 50}{100} \) = \( \frac{$1850}{100} \) = $18.50 on the second shirt.