| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
| 5.6 | |
| 1.5 | |
| 1 | |
| 2.7 |
1
How many 2 gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 6 | |
| 9 | |
| 3 | |
| 3 |
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
What is 3\( \sqrt{7} \) x 6\( \sqrt{9} \)?
| 18\( \sqrt{7} \) | |
| 54\( \sqrt{7} \) | |
| 18\( \sqrt{9} \) | |
| 9\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{7} \) x 6\( \sqrt{9} \)
(3 x 6)\( \sqrt{7 \times 9} \)
18\( \sqrt{63} \)
Now we need to simplify the radical:
18\( \sqrt{63} \)
18\( \sqrt{7 \times 9} \)
18\( \sqrt{7 \times 3^2} \)
(18)(3)\( \sqrt{7} \)
54\( \sqrt{7} \)
If there were a total of 50 raffle tickets sold and you bought 1 tickets, what's the probability that you'll win the raffle?
| 19% | |
| 18% | |
| 3% | |
| 13% |
You have 1 out of the total of 50 raffle tickets sold so you have a (\( \frac{1}{50} \)) x 100 = \( \frac{1 \times 100}{50} \) = \( \frac{100}{50} \) = 3% chance to win the raffle.
Simplify \( \sqrt{125} \)
| 6\( \sqrt{5} \) | |
| 4\( \sqrt{10} \) | |
| 7\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)