Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{50}{10} \) = 5

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 5 = \( \frac{9 \times 5}{100} \) = \( \frac{45}{100} \) = 0.45 errors per hour

So, in an average hour, the machine will produce 5 - 0.45 = 4.55 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 4.55 = 81.9 error free parts were produced yesterday.

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

6\( \sqrt{112} \) + 4\( \sqrt{7} \)
6\( \sqrt{16 \times 7} \) + 4\( \sqrt{7} \)
6\( \sqrt{4^2 \times 7} \) + 4\( \sqrt{7} \)
(6)(4)\( \sqrt{7} \) + 4\( \sqrt{7} \)
24\( \sqrt{7} \) + 4\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{3}{5} \) = \( \frac{3 x 3}{5 x 5} \) = \( \frac{9}{25} \) = \(\frac{9}{25}\)

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.