| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is \( \sqrt{\frac{16}{36}} \)?
| \(\frac{2}{3}\) | |
| \(\frac{1}{2}\) | |
| 2 | |
| 1\(\frac{1}{4}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{36}} \)
\( \frac{\sqrt{16}}{\sqrt{36}} \)
\( \frac{\sqrt{4^2}}{\sqrt{6^2}} \)
\(\frac{2}{3}\)
How many 2 gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 3 | |
| 3 | |
| 4 | |
| 6 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{6 \text{ gallons}}{2 \text{ gallons}} \) = 3
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Solve for \( \frac{3!}{4!} \)
| \( \frac{1}{336} \) | |
| 336 | |
| \( \frac{1}{120} \) | |
| \( \frac{1}{4} \) |
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:
\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)
How many hours does it take a car to travel 30 miles at an average speed of 30 miles per hour?
| 7 hours | |
| 8 hours | |
| 5 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 = \( \frac{30mi}{30mph} \)
1 hour