| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 22,667 | |
| 28,500 | |
| 24,000 | |
| 32,667 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{2}{3} \) = \( \frac{68000}{3} \) = 22,667 fans.
What is \( \frac{3}{7} \) x \( \frac{2}{5} \)?
| \(\frac{3}{20}\) | |
| \(\frac{6}{35}\) | |
| \(\frac{4}{27}\) | |
| \(\frac{3}{32}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{2}{5} \) = \( \frac{3 x 2}{7 x 5} \) = \( \frac{6}{35} \) = \(\frac{6}{35}\)
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 3 | |
| 8 | |
| 4 | |
| 9 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
What is (c3)2?
| c | |
| c-1 | |
| 3c2 | |
| c6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c3)2If a mayor is elected with 76% of the votes cast and 47% of a town's 37,000 voters cast a vote, how many votes did the mayor receive?
| 9,217 | |
| 13,738 | |
| 12,521 | |
| 13,216 |
If 47% of the town's 37,000 voters cast ballots the number of votes cast is:
(\( \frac{47}{100} \)) x 37,000 = \( \frac{1,739,000}{100} \) = 17,390
The mayor got 76% of the votes cast which is:
(\( \frac{76}{100} \)) x 17,390 = \( \frac{1,321,640}{100} \) = 13,216 votes.