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.

If 63% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{63}{100} \)) x 46,000 = \( \frac{2,898,000}{100} \) = 28,980

The mayor got 74% of the votes cast which is:

(\( \frac{74}{100} \)) x 28,980 = \( \frac{2,144,520}{100} \) = 21,445 votes.

First, solve for \( \left|z + 0\right| \):

\( \left|z + 0\right| \) - 4 = -8
\( \left|z + 0\right| \) = -8 + 4
\( \left|z + 0\right| \) = -4

The value inside the absolute value brackets can be either positive or negative so (z + 0) must equal - 4 or --4 for \( \left|z + 0\right| \) to equal -4:

So, z = 4 or z = -4.

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

4x⁷ x x⁴
(4 x 1)x^{(7 + 4)}
4x¹¹

59% of the water consumption is industrial use and 33% is personal use so (59% - 33%) = 26% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 15,000 gallons = 3,900 gallons.