To subtract these radicals together their radicands must be the same:

8\( \sqrt{27} \) - 5\( \sqrt{3} \)
8\( \sqrt{9 \times 3} \) - 5\( \sqrt{3} \)
8\( \sqrt{3^2 \times 3} \) - 5\( \sqrt{3} \)
(8)(3)\( \sqrt{3} \) - 5\( \sqrt{3} \)
24\( \sqrt{3} \) - 5\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

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.

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

\( \frac{9}{100} \) x 6 = \( \frac{9 \times 6}{100} \) = \( \frac{54}{100} \) = 0.54 errors per hour

So, in an average hour, the machine will produce 6 - 0.54 = 5.46 error free parts.

The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 5.46 = 103.7 error free parts were produced yesterday.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

By buying two shirts, Alex will save $50 x \( \frac{5}{100} \) = \( \frac{$50 x 5}{100} \) = \( \frac{$250}{100} \) = $2.50 on the second shirt.