Carter has 60 balloons. 412 of the balloons are black, and 312 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?
12/12= 3 × 4/12; 1/12 × 60 = 5; 4 × 5 = 20 red balloons
4/12+ 3/12 = 7/12; 1/12 × 60 = 5; 7 × 5 = 35 red balloons
12/12– 4/12 – 3/12 = 5/12; 1/12 × 60 = 6; 6 × 5 = 30 red balloons
4/12+ 3/12 = 7/12; 12/12 – 7/12 = 5/12; 1/12 × 60 = 5; 5 × 5 = 25 red balloons

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

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.

the easiest way to do these would be to solve the equations. if you can solve the equation than you can solve these problems.