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

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

2\( \sqrt{27} \) - 9\( \sqrt{3} \)
2\( \sqrt{9 \times 3} \) - 9\( \sqrt{3} \)
2\( \sqrt{3^2 \times 3} \) - 9\( \sqrt{3} \)
(2)(3)\( \sqrt{3} \) - 9\( \sqrt{3} \)
6\( \sqrt{3} \) - 9\( \sqrt{3} \)

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

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 50.9km + 5.9km
total distance = 56.9km

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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 9h \)
315 miles