| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
How many hours does it take a car to travel 120 miles at an average speed of 60 miles per hour?
| 4 hours | |
| 2 hours | |
| 1 hour | |
| 8 hours |
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 = \( \frac{120mi}{60mph} \)
2 hours
What is \( \frac{21\sqrt{16}}{3\sqrt{4}} \)?
| 7 \( \sqrt{4} \) | |
| 4 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{16}}{3\sqrt{4}} \)
\( \frac{21}{3} \) \( \sqrt{\frac{16}{4}} \)
7 \( \sqrt{4} \)
If a mayor is elected with 75% of the votes cast and 67% of a town's 35,000 voters cast a vote, how many votes did the mayor receive?
| 20,402 | |
| 15,243 | |
| 16,650 | |
| 17,588 |
If 67% of the town's 35,000 voters cast ballots the number of votes cast is:
(\( \frac{67}{100} \)) x 35,000 = \( \frac{2,345,000}{100} \) = 23,450
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 23,450 = \( \frac{1,758,750}{100} \) = 17,588 votes.
In a class of 26 students, 12 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 26 | |
| 25 | |
| 9 | |
| 22 |
The number of students taking German or Spanish is 12 + 13 = 25. Of that group of 25, 8 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 25 - 8 = 17 who are taking at least one language. 26 - 17 = 9 students who are not taking either language.
The total water usage for a city is 15,000 gallons each day. Of that total, 10% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,100 | |
| 12,000 | |
| 8,700 | |
| 2,000 |
44% of the water consumption is industrial use and 10% is personal use so (44% - 10%) = 34% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 15,000 gallons = 5,100 gallons.