Whitney was visiting Big Bend Ranch State Park. At the entrance, she saw a
map of the park. The legend stated
that 1.5 inches on the map represents
20 feet in the park. On the map, how
many inches would represent 60
actual feet?

4.5 inches on the map would represent 60 actual feet.

Step-by-step explanation:

Given that:

1.5 inches on map represents 20 feet in the park.

x be the inches on map that represents 60 feet in the park.

Ratio of distance on map to actual distance :: Ratio of distance on map to actual distance

1.5 : 20 :: x : 60

Product of mean = Product of extreme

20*x = 1.5*60

20x = 90

Dividing both sides by 20

Hence,

4.5 inches on the map would represent 60 actual feet.

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)

where are the graphs?

step-by-step explanation: