The greatest common factor (GCF) is the greatest factor that divides two integers.

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{8}{100} \) x 6 = \( \frac{8 \times 6}{100} \) = \( \frac{48}{100} \) = 0.48 errors per hour

So, in an average hour, the machine will produce 6 - 0.48 = 5.52 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 5.52 = 82.8 error free parts were produced yesterday.

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:

5y² - 8y²
(5 - 8)y²
-3y²

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

2y³ + 5y³
(2 + 5)y³
7y³

If 53% of the town's 47,000 voters cast ballots the number of votes cast is:

(\( \frac{53}{100} \)) x 47,000 = \( \frac{2,491,000}{100} \) = 24,910

The mayor got 81% of the votes cast which is:

(\( \frac{81}{100} \)) x 24,910 = \( \frac{2,017,710}{100} \) = 20,177 votes.