| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The total water usage for a city is 15,000 gallons each day. Of that total, 16% is for personal use and 45% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,350 | |
| 9,600 | |
| 4,800 | |
| 17,000 |
45% of the water consumption is industrial use and 16% is personal use so (45% - 16%) = 29% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 15,000 gallons = 4,350 gallons.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Frank buys two shirts, each with a regular price of $17, how much will he pay for both shirts?
| $19.55 | |
| $23.80 | |
| $30.60 | |
| $13.60 |
By buying two shirts, Frank will save $17 x \( \frac{20}{100} \) = \( \frac{$17 x 20}{100} \) = \( \frac{$340}{100} \) = $3.40 on the second shirt.
So, his total cost will be
$17.00 + ($17.00 - $3.40)
$17.00 + $13.60
$30.60
How many 11-passenger vans will it take to drive all 91 members of the football team to an away game?
| 4 vans | |
| 7 vans | |
| 9 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{91}{11} \) = 8\(\frac{3}{11}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.
What is 9\( \sqrt{4} \) x 5\( \sqrt{2} \)?
| 14\( \sqrt{2} \) | |
| 45\( \sqrt{4} \) | |
| 45\( \sqrt{2} \) | |
| 90\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{4} \) x 5\( \sqrt{2} \)
(9 x 5)\( \sqrt{4 \times 2} \)
45\( \sqrt{8} \)
Now we need to simplify the radical:
45\( \sqrt{8} \)
45\( \sqrt{2 \times 4} \)
45\( \sqrt{2 \times 2^2} \)
(45)(2)\( \sqrt{2} \)
90\( \sqrt{2} \)
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
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.