| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
If a mayor is elected with 68% of the votes cast and 48% of a town's 18,000 voters cast a vote, how many votes did the mayor receive?
| 7,258 | |
| 5,875 | |
| 7,517 | |
| 5,789 |
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 68% of the votes cast which is:
(\( \frac{68}{100} \)) x 8,640 = \( \frac{587,520}{100} \) = 5,875 votes.
Betty scored 93% on her final exam. If each question was worth 3 points and there were 180 possible points on the exam, how many questions did Betty answer correctly?
| 43 | |
| 44 | |
| 65 | |
| 56 |
Betty scored 93% on the test meaning she earned 93% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.93 = 168 points. Each question is worth 3 points so she got \( \frac{168}{3} \) = 56 questions right.
What is 8z6 x 5z5?
| 40z11 | |
| 40z-1 | |
| 40z | |
| 13z11 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
8z6 x 5z5
(8 x 5)z(6 + 5)
40z11
How many hours does it take a car to travel 30 miles at an average speed of 30 miles per hour?
| 4 hours | |
| 9 hours | |
| 7 hours | |
| 1 hour |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{30mi}{30mph} \)
1 hour
What is \( \frac{-6y^9}{1y^4} \)?
| -\(\frac{1}{6}\)y-5 | |
| -6y5 | |
| -6y-5 | |
| -6y13 |
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:
\( \frac{-6y^9}{y^4} \)
\( \frac{-6}{1} \) y(9 - 4)
-6y5