The amount of flour you need is (2 - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{16}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-2c^9}{6c^3} \)
\( \frac{-2}{6} \) c^{(9 - 3)}
-\(\frac{1}{3}\)c⁶

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:

1a³ + 5a³
(1 + 5)a³
6a³

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

\( \frac{7}{100} \) x 10 = \( \frac{7 \times 10}{100} \) = \( \frac{70}{100} \) = 0.7 errors per hour

So, in an average hour, the machine will produce 10 - 0.7 = 9.3 error free parts.

The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 9.3 = 158.1 error free parts were produced yesterday.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.