| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
The total water usage for a city is 45,000 gallons each day. Of that total, 35% 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?
| 1,200 | |
| 650 | |
| 700 | |
| 12,150 |
62% of the water consumption is industrial use and 35% is personal use so (62% - 35%) = 27% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 45,000 gallons = 12,150 gallons.
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Find the average of the following numbers: 15, 9, 14, 10.
| 7 | |
| 8 | |
| 13 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 9 + 14 + 10}{4} \) = \( \frac{48}{4} \) = 12
What is 4z7 x 4z3?
| 8z21 | |
| 16z10 | |
| 8z3 | |
| 16z21 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4z7 x 4z3
(4 x 4)z(7 + 3)
16z10
4! = ?
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 |
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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.