If 51% of the town's 10,000 voters cast ballots the number of votes cast is:

(\( \frac{51}{100} \)) x 10,000 = \( \frac{510,000}{100} \) = 5,100

The mayor got 52% of the votes cast which is:

(\( \frac{52}{100} \)) x 5,100 = \( \frac{265,200}{100} \) = 2,652 votes.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To subtract these radicals together their radicands must be the same:

5\( \sqrt{27} \) - 8\( \sqrt{3} \)
5\( \sqrt{9 \times 3} \) - 8\( \sqrt{3} \)
5\( \sqrt{3^2 \times 3} \) - 8\( \sqrt{3} \)
(5)(3)\( \sqrt{3} \) - 8\( \sqrt{3} \)
15\( \sqrt{3} \) - 8\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

By buying two shirts, Bob will save $15 x \( \frac{30}{100} \) = \( \frac{$15 x 30}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%