Latoya scored 83% on the test meaning she earned 83% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.83 = 132 points. Each question is worth 2 points so she got \( \frac{132}{2} \) = 66 questions right.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

If 79% of the town's 16,000 voters cast ballots the number of votes cast is:

(\( \frac{79}{100} \)) x 16,000 = \( \frac{1,264,000}{100} \) = 12,640

The mayor got 59% of the votes cast which is:

(\( \frac{59}{100} \)) x 12,640 = \( \frac{745,760}{100} \) = 7,458 votes.

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 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{4 x 3}{2 x 3} \) - \( \frac{7 x 1}{6 x 1} \)

\( \frac{12}{6} \) - \( \frac{7}{6} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{12 - 7}{6} \) = \( \frac{5}{6} \) = \(\frac{5}{6}\)