| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
What is the distance in miles of a trip that takes 5 hours at an average speed of 70 miles per hour?
| 150 miles | |
| 100 miles | |
| 210 miles | |
| 350 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 5h \)
350 miles
Solve for \( \frac{2!}{4!} \)
| \( \frac{1}{60480} \) | |
| \( \frac{1}{3024} \) | |
| \( \frac{1}{840} \) | |
| \( \frac{1}{12} \) |
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:
\( \frac{2!}{4!} \)
\( \frac{2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4 \times 3} \)
\( \frac{1}{12} \)
What is 3a2 - 7a2?
| 4a-2 | |
| -4a2 | |
| 4a2 | |
| -4a-2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
3a2 - 7a2
(3 - 7)a2
-4a2
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 3 | |
| 9 | |
| 7 | |
| 6 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 3
| 4.0 | |
| 1.0 | |
| 1 | |
| 2.4 |
1