| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
How many 16-passenger vans will it take to drive all 66 members of the football team to an away game?
| 13 vans | |
| 10 vans | |
| 11 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{66}{16} \) = 4\(\frac{1}{8}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
What is \( \frac{35\sqrt{30}}{7\sqrt{6}} \)?
| 5 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{5} \) | |
| 5 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{35\sqrt{30}}{7\sqrt{6}} \)
\( \frac{35}{7} \) \( \sqrt{\frac{30}{6}} \)
5 \( \sqrt{5} \)
What is the greatest common factor of 76 and 80?
| 70 | |
| 4 | |
| 73 | |
| 17 |
The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 80 have in common.
Convert x-2 to remove the negative exponent.
| \( \frac{-1}{-2x} \) | |
| \( \frac{1}{x^2} \) | |
| \( \frac{-1}{-2x^{2}} \) | |
| \( \frac{2}{x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 5 | |
| 6 | |
| 3 | |
| 3 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3