| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
24 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 4 | |
| 1 | |
| 8 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 24 people needing transportation leaving 24 - 20 = 4 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 20% off." If Damon buys two shirts, each with a regular price of $32, how much will he pay for both shirts?
| $44.80 | |
| $43.20 | |
| $57.60 | |
| $6.40 |
By buying two shirts, Damon will save $32 x \( \frac{20}{100} \) = \( \frac{$32 x 20}{100} \) = \( \frac{$640}{100} \) = $6.40 on the second shirt.
So, his total cost will be
$32.00 + ($32.00 - $6.40)
$32.00 + $25.60
$57.60
What is \( \sqrt{\frac{64}{16}} \)?
| 2 | |
| \(\frac{3}{8}\) | |
| 1 | |
| \(\frac{6}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{64}{16}} \)
\( \frac{\sqrt{64}}{\sqrt{16}} \)
\( \frac{\sqrt{8^2}}{\sqrt{4^2}} \)
\( \frac{8}{4} \)
2
How many 16-passenger vans will it take to drive all 51 members of the football team to an away game?
| 4 vans | |
| 8 vans | |
| 13 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{51}{16} \) = 3\(\frac{3}{16}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
What is \( 9 \)\( \sqrt{32} \) + \( 2 \)\( \sqrt{2} \)
| 38\( \sqrt{2} \) | |
| 11\( \sqrt{2} \) | |
| 18\( \sqrt{32} \) | |
| 11\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{32} \) + 2\( \sqrt{2} \)
9\( \sqrt{16 \times 2} \) + 2\( \sqrt{2} \)
9\( \sqrt{4^2 \times 2} \) + 2\( \sqrt{2} \)
(9)(4)\( \sqrt{2} \) + 2\( \sqrt{2} \)
36\( \sqrt{2} \) + 2\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
36\( \sqrt{2} \) + 2\( \sqrt{2} \)