| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
How many hours does it take a car to travel 390 miles at an average speed of 65 miles per hour?
| 8 hours | |
| 7 hours | |
| 6 hours | |
| 3 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 = \( \frac{390mi}{65mph} \)
6 hours
How many 14-passenger vans will it take to drive all 76 members of the football team to an away game?
| 14 vans | |
| 11 vans | |
| 4 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{76}{14} \) = 5\(\frac{3}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
If all of a roofing company's 8 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
| 2 | |
| 12 | |
| 10 | |
| 7 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 4 crews so there are \( \frac{8}{4} \) = 2 workers on a crew. 9 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 9 x 2 = 18 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 18 - 8 = 10 new staff for the busy season.
What is 5c6 x 3c7?
| 15c42 | |
| 15c13 | |
| 15c | |
| 15c6 |
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:
5c6 x 3c7
(5 x 3)c(6 + 7)
15c13
The total water usage for a city is 50,000 gallons each day. Of that total, 29% 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?
| 12,000 | |
| 9,600 | |
| 1,550 | |
| 7,500 |
44% of the water consumption is industrial use and 29% is personal use so (44% - 29%) = 15% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{15}{100} \) x 50,000 gallons = 7,500 gallons.