The distance from Alex's house to school is 8 miles. On a map of the Alabama area, the distance is 10 inches. What is the scale factor (You'll need to know that: 5,280 feet = 1 mile; 12 inches = 1 foot)

Thank You!!!
:)

Scale factor is 50688

Step-by-step explanation:

8 miles = 8 × 5280 = 42240 feet

10 inches = 10 ÷ 12 = ⅚ eet

On map = ⅚ feet

Actual = 42240 feet

⅚ : 42240

1 : X

X = 42240 ÷ ⅚

X = 50688

Scale is 1 : 50688

hello from mrbilldoesmath!

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)