| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
If a mayor is elected with 72% of the votes cast and 47% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 8,122 | |
| 6,317 | |
| 7,670 | |
| 7,558 |
If 47% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{47}{100} \)) x 24,000 = \( \frac{1,128,000}{100} \) = 11,280
The mayor got 72% of the votes cast which is:
(\( \frac{72}{100} \)) x 11,280 = \( \frac{812,160}{100} \) = 8,122 votes.
10 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 9 | |
| 2 | |
| 1 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 10 people needing transportation leaving 10 - 9 = 1 who will have to find other transportation.
What is \( \frac{2}{5} \) x \( \frac{1}{5} \)?
| \(\frac{2}{5}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{2}{25}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{1}{5} \) = \( \frac{2 x 1}{5 x 5} \) = \( \frac{2}{25} \) = \(\frac{2}{25}\)
Find the average of the following numbers: 8, 6, 8, 6.
| 9 | |
| 6 | |
| 7 | |
| 2 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 6 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7
Convert y-4 to remove the negative exponent.
| \( \frac{-4}{y} \) | |
| \( \frac{4}{y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-1}{y^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.