| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 4 | |
| 3 | |
| 5 | |
| 8 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
If there were a total of 100 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?
| 9% | |
| 6% | |
| 8% | |
| 4% |
You have 8 out of the total of 100 raffle tickets sold so you have a (\( \frac{8}{100} \)) x 100 = \( \frac{8 \times 100}{100} \) = \( \frac{800}{100} \) = 8% chance to win the raffle.
What is \( \frac{6\sqrt{6}}{3\sqrt{3}} \)?
| 2 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{6}}{3\sqrt{3}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{6}{3}} \)
2 \( \sqrt{2} \)
A factor is a positive __________ that divides evenly into a given number.
integer |
|
improper fraction |
|
mixed number |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
The total water usage for a city is 25,000 gallons each day. Of that total, 29% is for personal use and 48% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,750 | |
| 1,050 | |
| 6,000 | |
| 2,800 |
48% of the water consumption is industrial use and 29% is personal use so (48% - 29%) = 19% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 25,000 gallons = 4,750 gallons.