| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
| 1.5 | |
| 0.3 | |
| 1.0 | |
| 1 |
1
Convert c-5 to remove the negative exponent.
| \( \frac{1}{c^{-5}} \) | |
| \( \frac{5}{c} \) | |
| \( \frac{-1}{-5c^{5}} \) | |
| \( \frac{1}{c^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for division |
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commutative property for multiplication |
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distributive property for multiplication |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
The total water usage for a city is 15,000 gallons each day. Of that total, 21% is for personal use and 51% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 600 | |
| 5,600 | |
| 4,600 | |
| 4,500 |
51% of the water consumption is industrial use and 21% is personal use so (51% - 21%) = 30% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{30}{100} \) x 15,000 gallons = 4,500 gallons.