1. Fill in the missing value of the YELLOW rectangle in the ratio table. 2.Fill in the missing value of the BLUE rectangle in the ratio table.

PLEASE HELP ME ASAP THIS ASSIGNMENT IS OVERDUE

1) 2 boots for 7 shoes = 8 boots for 7x4 shoes (28 shoes)

2) 7 shoes for 2 boots = 49 shoes for 2x7 boots (14 boots)

1. 28

2. 14

Step-by-step explanation:

1. As you can see on the bottom 2x4=8 (or 8 divided by 2) so all they did was multilpy the first number by four so to get the second number on the top you have to do the same thing (7x4=28)

2. Now that you have the second number on the top you can find the third number on the bottom. So all you have to do is divide 49 by 28 which is 1.75, then you would go down to the bottom and do 8 times 1.75 and you get 14

i believe the answer is the polygon, heptagon.

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)