| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Ezra buys two shirts, each with a regular price of $46, how much money will he save?
| $4.60 | |
| $16.10 | |
| $2.30 | |
| $23.00 |
By buying two shirts, Ezra will save $46 x \( \frac{10}{100} \) = \( \frac{$46 x 10}{100} \) = \( \frac{$460}{100} \) = $4.60 on the second shirt.
If a mayor is elected with 55% of the votes cast and 64% of a town's 36,000 voters cast a vote, how many votes did the mayor receive?
| 12,672 | |
| 18,893 | |
| 20,275 | |
| 19,814 |
If 64% of the town's 36,000 voters cast ballots the number of votes cast is:
(\( \frac{64}{100} \)) x 36,000 = \( \frac{2,304,000}{100} \) = 23,040
The mayor got 55% of the votes cast which is:
(\( \frac{55}{100} \)) x 23,040 = \( \frac{1,267,200}{100} \) = 12,672 votes.
What is \( \frac{3a^6}{4a^4} \)?
| \(\frac{3}{4}\)a10 | |
| \(\frac{3}{4}\)a24 | |
| \(\frac{3}{4}\)a2 | |
| \(\frac{3}{4}\)a1\(\frac{1}{2}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{3a^6}{4a^4} \)
\( \frac{3}{4} \) a(6 - 4)
\(\frac{3}{4}\)a2
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
In a class of 28 students, 14 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 22 | |
| 20 | |
| 17 |
The number of students taking German or Spanish is 14 + 12 = 26. Of that group of 26, 7 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 26 - 7 = 19 who are taking at least one language. 28 - 19 = 9 students who are not taking either language.