| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
If a mayor is elected with 71% of the votes cast and 49% of a town's 14,000 voters cast a vote, how many votes did the mayor receive?
| 5,214 | |
| 5,557 | |
| 4,871 | |
| 3,842 |
If 49% of the town's 14,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 14,000 = \( \frac{686,000}{100} \) = 6,860
The mayor got 71% of the votes cast which is:
(\( \frac{71}{100} \)) x 6,860 = \( \frac{487,060}{100} \) = 4,871 votes.
What is 5x3 - 2x3?
| 3x-3 | |
| 3x3 | |
| 7x9 | |
| 7x6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
5x3 - 2x3
(5 - 2)x3
3x3
Which of the following is a mixed number?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Ezra buys two shirts, each with a regular price of $10, how much will he pay for both shirts?
| $12.00 | |
| $8.50 | |
| $18.50 | |
| $1.50 |
By buying two shirts, Ezra will save $10 x \( \frac{15}{100} \) = \( \frac{$10 x 15}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.
So, his total cost will be
$10.00 + ($10.00 - $1.50)
$10.00 + $8.50
$18.50
In a class of 27 students, 8 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 17 | |
| 12 | |
| 19 |
The number of students taking German or Spanish is 8 + 10 = 18. Of that group of 18, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 4 = 14 who are taking at least one language. 27 - 14 = 13 students who are not taking either language.