| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Frank buys two shirts, each with a regular price of $12, how much money will he save?
| $4.20 | |
| $5.40 | |
| $3.00 | |
| $0.60 |
By buying two shirts, Frank will save $12 x \( \frac{25}{100} \) = \( \frac{$12 x 25}{100} \) = \( \frac{$300}{100} \) = $3.00 on the second shirt.
What is \( \frac{21\sqrt{24}}{7\sqrt{6}} \)?
| 3 \( \sqrt{4} \) | |
| 4 \( \sqrt{3} \) | |
| \(\frac{1}{4}\) \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{24}}{7\sqrt{6}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{24}{6}} \)
3 \( \sqrt{4} \)
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
9 |
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.
If a mayor is elected with 89% of the votes cast and 56% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?
| 6,278 | |
| 7,448 | |
| 9,257 | |
| 9,470 |
If 56% of the town's 19,000 voters cast ballots the number of votes cast is:
(\( \frac{56}{100} \)) x 19,000 = \( \frac{1,064,000}{100} \) = 10,640
The mayor got 89% of the votes cast which is:
(\( \frac{89}{100} \)) x 10,640 = \( \frac{946,960}{100} \) = 9,470 votes.
What is \( \frac{3}{6} \) - \( \frac{7}{12} \)?
| -\(\frac{1}{12}\) | |
| 1 \( \frac{5}{12} \) | |
| 2 \( \frac{5}{12} \) | |
| 2 \( \frac{7}{12} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 2}{6 x 2} \) - \( \frac{7 x 1}{12 x 1} \)
\( \frac{6}{12} \) - \( \frac{7}{12} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{6 - 7}{12} \) = \( \frac{-1}{12} \) = -\(\frac{1}{12}\)