A go-kart's gas tank holds 6 gallons of gasoline which will last 228 miles. How many miles can the go kart travel on 1 gallon of gasoline?

1 mile of gas will go 38 miles.

Step-by-step explanation:

If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.

OR, if you prefer algebra:

228 miles/ 6 gallon = (x) miles/ 1 gallon

Which would be 228/6 = x/1

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb