| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
How many hours does it take a car to travel 270 miles at an average speed of 45 miles per hour?
| 7 hours | |
| 3 hours | |
| 6 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 = \( \frac{270mi}{45mph} \)
6 hours
What is 4\( \sqrt{6} \) x 2\( \sqrt{8} \)?
| 6\( \sqrt{48} \) | |
| 32\( \sqrt{3} \) | |
| 8\( \sqrt{6} \) | |
| 6\( \sqrt{8} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{6} \) x 2\( \sqrt{8} \)
(4 x 2)\( \sqrt{6 \times 8} \)
8\( \sqrt{48} \)
Now we need to simplify the radical:
8\( \sqrt{48} \)
8\( \sqrt{3 \times 16} \)
8\( \sqrt{3 \times 4^2} \)
(8)(4)\( \sqrt{3} \)
32\( \sqrt{3} \)
The total water usage for a city is 50,000 gallons each day. Of that total, 26% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 14,000 | |
| 4,200 | |
| 9,800 | |
| 7,600 |
54% of the water consumption is industrial use and 26% is personal use so (54% - 26%) = 28% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{28}{100} \) x 50,000 gallons = 14,000 gallons.
Which of these numbers is a factor of 64?
| 67 | |
| 1 | |
| 21 | |
| 45 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
fraction |
|
improper fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.