| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
How many hours does it take a car to travel 210 miles at an average speed of 35 miles per hour?
| 1 hour | |
| 3 hours | |
| 4 hours | |
| 6 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 = \( \frac{210mi}{35mph} \)
6 hours
What is -6b2 + 8b2?
| -14b-2 | |
| 14b-2 | |
| -14b2 | |
| 2b2 |
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:
-6b2 + 8b2
(-6 + 8)b2
2b2
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
The total water usage for a city is 25,000 gallons each day. Of that total, 18% is for personal use and 47% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 650 | |
| 6,900 | |
| 7,249 | |
| 12,500 |
47% of the water consumption is industrial use and 18% is personal use so (47% - 18%) = 29% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 25,000 gallons = 7,249 gallons.
What is 2b7 x 7b7?
| 14b14 | |
| 14b7 | |
| 14b0 | |
| 9b7 |
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:
2b7 x 7b7
(2 x 7)b(7 + 7)
14b14