| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
If a mayor is elected with 77% of the votes cast and 48% of a town's 18,000 voters cast a vote, how many votes did the mayor receive?
| 7,171 | |
| 6,653 | |
| 5,270 | |
| 7,690 |
If 48% of the town's 18,000 voters cast ballots the number of votes cast is:
(\( \frac{48}{100} \)) x 18,000 = \( \frac{864,000}{100} \) = 8,640
The mayor got 77% of the votes cast which is:
(\( \frac{77}{100} \)) x 8,640 = \( \frac{665,280}{100} \) = 6,653 votes.
What is -7y6 - y6?
| -6y6 | |
| -6y-12 | |
| -8y-6 | |
| -8y6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-7y6 - 1y6
(-7 - 1)y6
-8y6
What is 6c2 + 2c2?
| 8c4 | |
| 4c2 | |
| 8c2 | |
| -4c-2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
6c2 + 2c2
(6 + 2)c2
8c2
Diane scored 98% on her final exam. If each question was worth 2 points and there were 180 possible points on the exam, how many questions did Diane answer correctly?
| 99 | |
| 102 | |
| 88 | |
| 85 |
Diane scored 98% on the test meaning she earned 98% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.98 = 176 points. Each question is worth 2 points so she got \( \frac{176}{2} \) = 88 questions right.
A tiger in a zoo has consumed 180 pounds of food in 12 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 225 pounds?
| 14 | |
| 12 | |
| 10 | |
| 3 |
If the tiger has consumed 180 pounds of food in 12 days that's \( \frac{180}{12} \) = 15 pounds of food per day. The tiger needs to consume 225 - 180 = 45 more pounds of food to reach 225 pounds total. At 15 pounds of food per day that's \( \frac{45}{15} \) = 3 more days.