| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
14 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 4 | |
| 1 | |
| 8 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $21, how much money will he save?
| $4.20 | |
| $9.45 | |
| $5.25 | |
| $3.15 |
By buying two shirts, Damon will save $21 x \( \frac{45}{100} \) = \( \frac{$21 x 45}{100} \) = \( \frac{$945}{100} \) = $9.45 on the second shirt.
Simplify \( \sqrt{75} \)
| 6\( \sqrt{3} \) | |
| 8\( \sqrt{6} \) | |
| 5\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
Find the average of the following numbers: 10, 2, 9, 3.
| 6 | |
| 4 | |
| 7 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 9 + 3}{4} \) = \( \frac{24}{4} \) = 6
Simplify \( \frac{40}{44} \).
| \( \frac{2}{7} \) | |
| \( \frac{9}{14} \) | |
| \( \frac{10}{11} \) | |
| \( \frac{4}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{40}{44} \) = \( \frac{\frac{40}{4}}{\frac{44}{4}} \) = \( \frac{10}{11} \)