You have 22 out of the total of 450 raffle tickets sold so you have a (\( \frac{22}{450} \)) x 100 = \( \frac{22 \times 100}{450} \) = \( \frac{2200}{450} \) = 5% chance to win the raffle.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{69}{11} \) = 6\(\frac{3}{11}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{9} \) x 8\( \sqrt{4} \)
(7 x 8)\( \sqrt{9 \times 4} \)
56\( \sqrt{36} \)

Now we need to simplify the radical:

56\( \sqrt{36} \)
56\( \sqrt{6^2} \)
(56)(6)
336

The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 have in common.

To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4