| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
What is (c5)2?
| c10 | |
| 5c2 | |
| c-3 | |
| c7 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c5)2How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 4 | |
| 3 | |
| 2 | |
| 8 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4
Solve for \( \frac{6!}{3!} \)
| 8 | |
| 4 | |
| \( \frac{1}{72} \) | |
| 120 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{3!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{6 \times 5 \times 4}{1} \)
\( 6 \times 5 \times 4 \)
120
How many hours does it take a car to travel 490 miles at an average speed of 70 miles per hour?
| 4 hours | |
| 7 hours | |
| 9 hours | |
| 5 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 = \( \frac{490mi}{70mph} \)
7 hours
Which of these numbers is a factor of 36?
| 2 | |
| 22 | |
| 9 | |
| 36 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.