You have 12 out of the total of 250 raffle tickets sold so you have a (\( \frac{12}{250} \)) x 100 = \( \frac{12 \times 100}{250} \) = \( \frac{1200}{250} \) = 5% chance to win the raffle.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

5x² - 2x²
(5 - 2)x²
3x²

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 10 people needing transportation leaving 10 - 9 = 1 who will have to find other transportation.

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

2\( \sqrt{6} \) x 9\( \sqrt{4} \)
(2 x 9)\( \sqrt{6 \times 4} \)
18\( \sqrt{24} \)

Now we need to simplify the radical:

18\( \sqrt{24} \)
18\( \sqrt{6 \times 4} \)
18\( \sqrt{6 \times 2^2} \)
(18)(2)\( \sqrt{6} \)
36\( \sqrt{6} \)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.