In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 10 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 10 x 4 = 40 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 40 - 20 = 20 new staff for the busy season.

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

3\( \sqrt{32} \) + 9\( \sqrt{2} \)
3\( \sqrt{16 \times 2} \) + 9\( \sqrt{2} \)
3\( \sqrt{4^2 \times 2} \) + 9\( \sqrt{2} \)
(3)(4)\( \sqrt{2} \) + 9\( \sqrt{2} \)
12\( \sqrt{2} \) + 9\( \sqrt{2} \)

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

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 40.5km + 17.3km
total distance = 58.3km

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

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 6 = \( \frac{5 \times 6}{100} \) = \( \frac{30}{100} \) = 0.3 errors per hour

So, in an average hour, the machine will produce 6 - 0.3 = 5.7 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 5.7 = 119.7 error free parts were produced yesterday.