| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
4! = ?
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 |
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.
Which of these numbers is a factor of 24?
| 4 | |
| 8 | |
| 19 | |
| 5 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The total water usage for a city is 25,000 gallons each day. Of that total, 15% is for personal use and 38% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 3,150 | |
| 8,500 | |
| 1,900 | |
| 5,750 |
38% of the water consumption is industrial use and 15% is personal use so (38% - 15%) = 23% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 25,000 gallons = 5,750 gallons.
What is 9\( \sqrt{4} \) x 2\( \sqrt{5} \)?
| 36\( \sqrt{5} \) | |
| 18\( \sqrt{5} \) | |
| 11\( \sqrt{4} \) | |
| 11\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{4} \) x 2\( \sqrt{5} \)
(9 x 2)\( \sqrt{4 \times 5} \)
18\( \sqrt{20} \)
Now we need to simplify the radical:
18\( \sqrt{20} \)
18\( \sqrt{5 \times 4} \)
18\( \sqrt{5 \times 2^2} \)
(18)(2)\( \sqrt{5} \)
36\( \sqrt{5} \)
9 members of a bridal party need transported to a wedding reception but there are only 3 2-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 66 | |
| 4 | |
| 3 |
There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 9 people needing transportation leaving 9 - 6 = 3 who will have to find other transportation.