| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is \( \frac{14\sqrt{20}}{7\sqrt{5}} \)?
| 4 \( \sqrt{2} \) | |
| 2 \( \sqrt{4} \) | |
| 4 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{20}}{7\sqrt{5}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{20}{5}} \)
2 \( \sqrt{4} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
4! = ?
4 x 3 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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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 40,000 gallons each day. Of that total, 31% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 9,000 | |
| 3,250 | |
| 12,400 | |
| 4,200 |
62% of the water consumption is industrial use and 31% is personal use so (62% - 31%) = 31% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{31}{100} \) x 40,000 gallons = 12,400 gallons.
Find the average of the following numbers: 8, 4, 7, 5.
| 9 | |
| 4 | |
| 6 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 4 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6