| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Bob buys two shirts, each with a regular price of $23, how much will he pay for both shirts?
| $24.15 | |
| $11.50 | |
| $31.05 | |
| $34.50 |
By buying two shirts, Bob will save $23 x \( \frac{50}{100} \) = \( \frac{$23 x 50}{100} \) = \( \frac{$1150}{100} \) = $11.50 on the second shirt.
So, his total cost will be
$23.00 + ($23.00 - $11.50)
$23.00 + $11.50
$34.50
Simplify \( \sqrt{20} \)
| 9\( \sqrt{5} \) | |
| 7\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{3}{3} \) - \( \frac{2}{7} \)?
| \(\frac{5}{7}\) | |
| 2 \( \frac{6}{14} \) | |
| 1 \( \frac{9}{21} \) | |
| \( \frac{5}{21} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 7}{3 x 7} \) - \( \frac{2 x 3}{7 x 3} \)
\( \frac{21}{21} \) - \( \frac{6}{21} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{21 - 6}{21} \) = \( \frac{15}{21} \) = \(\frac{5}{7}\)
Which of the following is not a prime number?
2 |
|
9 |
|
7 |
|
5 |
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.