Ben is making pink paint by mixing paint in the ratio of 5 parts red paint to 2 parts white paint. If Ben wants to make 35 cans of the mixture and all cans hold the same volume of paint, how many cans of red paint will he need? RED PAINT NOT WHITE PAINT

25 cans of red paint.

Step-by-step explanation:

Since the ratio of red paint to white paint is 5:2, we know that 5/7 of the mixture is red paint, because there are 5+2 = 7 parts, and 5 of the parts are red. Therefore, Ben needs 5/7 x 35 = 25 cans of red paint.

hope this helps:)

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)