| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If a mayor is elected with 89% of the votes cast and 88% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?
| 19,580 | |
| 12,760 | |
| 13,200 | |
| 17,820 |
If 88% of the town's 25,000 voters cast ballots the number of votes cast is:
(\( \frac{88}{100} \)) x 25,000 = \( \frac{2,200,000}{100} \) = 22,000
The mayor got 89% of the votes cast which is:
(\( \frac{89}{100} \)) x 22,000 = \( \frac{1,958,000}{100} \) = 19,580 votes.
Convert c-2 to remove the negative exponent.
| \( \frac{1}{c^2} \) | |
| \( \frac{-1}{c^{-2}} \) | |
| \( \frac{2}{c} \) | |
| \( \frac{-2}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \frac{-9b^7}{8b^2} \)?
| -\(\frac{8}{9}\)b5 | |
| -1\(\frac{1}{8}\)b5 | |
| -1\(\frac{1}{8}\)b14 | |
| -1\(\frac{1}{8}\)b3\(\frac{1}{2}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-9b^7}{8b^2} \)
\( \frac{-9}{8} \) b(7 - 2)
-1\(\frac{1}{8}\)b5
A tiger in a zoo has consumed 49 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 91 pounds?
| 5 | |
| 6 | |
| 8 | |
| 10 |
If the tiger has consumed 49 pounds of food in 7 days that's \( \frac{49}{7} \) = 7 pounds of food per day. The tiger needs to consume 91 - 49 = 42 more pounds of food to reach 91 pounds total. At 7 pounds of food per day that's \( \frac{42}{7} \) = 6 more days.
How many 13-passenger vans will it take to drive all 30 members of the football team to an away game?
| 4 vans | |
| 7 vans | |
| 14 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{30}{13} \) = 2\(\frac{4}{13}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.