| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
How many 7-passenger vans will it take to drive all 37 members of the football team to an away game?
| 8 vans | |
| 5 vans | |
| 10 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{37}{7} \) = 5\(\frac{2}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
What is \( 9 \)\( \sqrt{45} \) - \( 5 \)\( \sqrt{5} \)
| 4\( \sqrt{5} \) | |
| 22\( \sqrt{5} \) | |
| 4\( \sqrt{45} \) | |
| 4\( \sqrt{16} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{45} \) - 5\( \sqrt{5} \)
9\( \sqrt{9 \times 5} \) - 5\( \sqrt{5} \)
9\( \sqrt{3^2 \times 5} \) - 5\( \sqrt{5} \)
(9)(3)\( \sqrt{5} \) - 5\( \sqrt{5} \)
27\( \sqrt{5} \) - 5\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
27\( \sqrt{5} \) - 5\( \sqrt{5} \)4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
The total water usage for a city is 30,000 gallons each day. Of that total, 10% is for personal use and 31% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 1,650 | |
| 1,050 | |
| 11,600 | |
| 6,300 |
31% of the water consumption is industrial use and 10% is personal use so (31% - 10%) = 21% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 30,000 gallons = 6,300 gallons.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Damon buys two shirts, each with a regular price of $23, how much will he pay for both shirts?
| $36.80 | |
| $26.45 | |
| $28.75 | |
| $33.35 |
By buying two shirts, Damon will save $23 x \( \frac{40}{100} \) = \( \frac{$23 x 40}{100} \) = \( \frac{$920}{100} \) = $9.20 on the second shirt.
So, his total cost will be
$23.00 + ($23.00 - $9.20)
$23.00 + $13.80
$36.80