If 73% of the town's 32,000 voters cast ballots the number of votes cast is:

(\( \frac{73}{100} \)) x 32,000 = \( \frac{2,336,000}{100} \) = 23,360

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

(\( \frac{62}{100} \)) x 23,360 = \( \frac{1,448,320}{100} \) = 14,483 votes.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{64}} \)
\( \frac{\sqrt{64}}{\sqrt{64}} \)
\( \frac{\sqrt{8^2}}{\sqrt{8^2}} \)
1

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{5}{100} \) x 10 = \( \frac{5 \times 10}{100} \) = \( \frac{50}{100} \) = 0.5 errors per hour

So, in an average hour, the machine will produce 10 - 0.5 = 9.5 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 9.5 = 199.5 error free parts were produced yesterday.

The amount of flour you need is (3\(\frac{1}{2}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{28}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.