| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
If a mayor is elected with 75% of the votes cast and 77% of a town's 45,000 voters cast a vote, how many votes did the mayor receive?
| 26,681 | |
| 19,058 | |
| 25,988 | |
| 22,176 |
If 77% of the town's 45,000 voters cast ballots the number of votes cast is:
(\( \frac{77}{100} \)) x 45,000 = \( \frac{3,465,000}{100} \) = 34,650
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 34,650 = \( \frac{2,598,750}{100} \) = 25,988 votes.
What is the greatest common factor of 44 and 28?
| 25 | |
| 13 | |
| 20 | |
| 4 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 28 have in common.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
| 0.3 | |
| 1.0 | |
| 0.8 | |
| 1 |
1
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:1 | |
| 25:2 | |
| 7:8 | |
| 3:2 |
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.