You have 12 out of the total of 300 raffle tickets sold so you have a (\( \frac{12}{300} \)) x 100 = \( \frac{12 \times 100}{300} \) = \( \frac{1200}{300} \) = 4% chance to win the raffle.

To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{28}{44} \) = \( \frac{\frac{28}{4}}{\frac{44}{4}} \) = \( \frac{7}{11} \)

The equation for this sequence is:

a_n = a_n-1 + 2(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.

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

5\( \sqrt{3} \) x 9\( \sqrt{9} \)
(5 x 9)\( \sqrt{3 \times 9} \)
45\( \sqrt{27} \)

Now we need to simplify the radical:

45\( \sqrt{27} \)
45\( \sqrt{3 \times 9} \)
45\( \sqrt{3 \times 3^2} \)
(45)(3)\( \sqrt{3} \)
135\( \sqrt{3} \)