42% of the water consumption is industrial use and 11% is personal use so (42% - 11%) = 31% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{31}{100} \) x 35,000 gallons = 10,850 gallons.

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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 30.3km + 10.100000000000001km
total distance = 40.6km

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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

9\( \sqrt{112} \) + 9\( \sqrt{7} \)
9\( \sqrt{16 \times 7} \) + 9\( \sqrt{7} \)
9\( \sqrt{4^2 \times 7} \) + 9\( \sqrt{7} \)
(9)(4)\( \sqrt{7} \) + 9\( \sqrt{7} \)
36\( \sqrt{7} \) + 9\( \sqrt{7} \)

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