If 33% of the town's 43,000 voters cast ballots the number of votes cast is:

(\( \frac{33}{100} \)) x 43,000 = \( \frac{1,419,000}{100} \) = 14,190

The mayor got 89% of the votes cast which is:

(\( \frac{89}{100} \)) x 14,190 = \( \frac{1,262,910}{100} \) = 12,629 votes.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

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.

Latoya scored 77% on the test meaning she earned 77% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.77 = 216 points. Each question is worth 4 points so she got \( \frac{216}{4} \) = 54 questions right.