| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Bob buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $75.25 | |
| $58.05 | |
| $32.25 | |
| $49.45 |
By buying two shirts, Bob will save $43 x \( \frac{25}{100} \) = \( \frac{$43 x 25}{100} \) = \( \frac{$1075}{100} \) = $10.75 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $10.75)
$43.00 + $32.25
$75.25
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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integer |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 15% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%
What is \( \frac{4}{5} \) + \( \frac{9}{7} \)?
| \( \frac{1}{7} \) | |
| 2\(\frac{3}{35}\) | |
| 1 \( \frac{9}{16} \) | |
| 2 \( \frac{8}{35} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] 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 [35, 70] making 35 the smallest multiple 5 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 7}{5 x 7} \) + \( \frac{9 x 5}{7 x 5} \)
\( \frac{28}{35} \) + \( \frac{45}{35} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{28 + 45}{35} \) = \( \frac{73}{35} \) = 2\(\frac{3}{35}\)
Simplify \( \frac{16}{60} \).
| \( \frac{5}{17} \) | |
| \( \frac{4}{15} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{5}{7} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{60} \) = \( \frac{\frac{16}{4}}{\frac{60}{4}} \) = \( \frac{4}{15} \)