To simplify a radical, factor out the perfect squares:

\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)

If 67% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{67}{100} \)) x 46,000 = \( \frac{3,082,000}{100} \) = 30,820

The mayor got 53% of the votes cast which is:

(\( \frac{53}{100} \)) x 30,820 = \( \frac{1,633,460}{100} \) = 16,335 votes.

The equation for this sequence is:

a_n = a_n-1 + 4(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 + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

If a single cook can bake 5 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 5 x 4 = 20 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{20} \) = 1\(\frac{1}{20}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 14 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 14 x 4 = 56 small cakes during that time. 280 small cakes are needed for the party so \( \frac{280}{56} \) = 5 cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 5 = 7 cooks.

By buying two shirts, Frank will save $41 x \( \frac{25}{100} \) = \( \frac{$41 x 25}{100} \) = \( \frac{$1025}{100} \) = $10.25 on the second shirt.