| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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mixed number |
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integer |
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.
Convert c-5 to remove the negative exponent.
| \( \frac{-5}{c} \) | |
| \( \frac{1}{c^{-5}} \) | |
| \( \frac{-1}{-5c} \) | |
| \( \frac{1}{c^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is 6c5 - 2c5?
| 8c10 | |
| 4c5 | |
| -4c5 | |
| -4c-5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
6c5 - 2c5
(6 - 2)c5
4c5
A machine in a factory has an error rate of 5 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 209 | |
| 188.1 | |
| 179.6 | |
| 105.3 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{5}{100} \) x 9 = \( \frac{5 \times 9}{100} \) = \( \frac{45}{100} \) = 0.45 errors per hour
So, in an average hour, the machine will produce 9 - 0.45 = 8.55 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.55 = 188.1 error free parts were produced yesterday.
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.