You have 9 out of the total of 100 raffle tickets sold so you have a (\( \frac{9}{100} \)) x 100 = \( \frac{9 \times 100}{100} \) = \( \frac{900}{100} \) = 9% chance to win the raffle.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{4x^5}{x^2} \)
\( \frac{4}{1} \) x^{(5 - 2)}
4x³

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

5,629,000 in scientific notation is 5.629 x 10⁶

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.

If 89% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{89}{100} \)) x 50,000 = \( \frac{4,450,000}{100} \) = 44,500

The mayor got 62% of the votes cast which is:

(\( \frac{62}{100} \)) x 44,500 = \( \frac{2,759,000}{100} \) = 27,590 votes.