| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Ezra buys two shirts, each with a regular price of $17, how much will he pay for both shirts?
| $10.20 | |
| $19.55 | |
| $27.20 | |
| $22.95 |
By buying two shirts, Ezra will save $17 x \( \frac{40}{100} \) = \( \frac{$17 x 40}{100} \) = \( \frac{$680}{100} \) = $6.80 on the second shirt.
So, his total cost will be
$17.00 + ($17.00 - $6.80)
$17.00 + $10.20
$27.20
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 or a = -7 |
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a = 7 |
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a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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greatest common factor |
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least common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of these numbers is a factor of 40?
| 21 | |
| 31 | |
| 8 | |
| 7 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
Simplify \( \frac{32}{76} \).
| \( \frac{4}{7} \) | |
| \( \frac{8}{19} \) | |
| \( \frac{5}{7} \) | |
| \( \frac{1}{4} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{76} \) = \( \frac{\frac{32}{4}}{\frac{76}{4}} \) = \( \frac{8}{19} \)