The sum of 17/4 and six times a number is equal to 15/4 subtracted from seven times the number. Find the number.

  8

Step-by-step explanation:

The problem statement tells you ...

  17/4 +6n = 7n -15/4

Subtract 6n -15/4:

  32/4 = n = 8

The number is 8.

Check

  17/4 +6(8) = 7(8) -15/4

  4 1/4 +48 = 56 -3 3/4

  52 1/4 = 52 1/4 . . . . . . answer checks OK

whats the question?

step-by-step explanation:

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