| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The total water usage for a city is 30,000 gallons each day. Of that total, 24% is for personal use and 36% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,000 | |
| 3,600 | |
| 4,550 | |
| 16,500 |
36% of the water consumption is industrial use and 24% is personal use so (36% - 24%) = 12% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{12}{100} \) x 30,000 gallons = 3,600 gallons.
Simplify \( \sqrt{28} \)
| 6\( \sqrt{14} \) | |
| 9\( \sqrt{14} \) | |
| 2\( \sqrt{7} \) | |
| 8\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{28} \)
\( \sqrt{4 \times 7} \)
\( \sqrt{2^2 \times 7} \)
2\( \sqrt{7} \)
Convert 471,000 to scientific notation.
| 4.71 x 10-4 | |
| 47.1 x 104 | |
| 4.71 x 105 | |
| 4.71 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
471,000 in scientific notation is 4.71 x 105
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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4 x 3 |
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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 __________ is the greatest factor that divides two integers.
absolute value |
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greatest common multiple |
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least common multiple |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.