Question

What is the simplified form of the expression 11[(9^2-5^2) divided by 2^2+8]

224.5
242
51.3
110

Answer 1

`(11(9^2-5^2))/(2^2+8) = (11(81-25))/(4+8) = (11*56)/(12) = (11*28)/(6) = (11*14)/(3) = (154)/(3)`= 51.333333333 ≈ 51.3

Hence, the answer is C.

Answer 2

51.3

Explanation:

In order to calculate this, you have to remember the norms for the solution of math problems with hierarchy of operations called PEMDAS:

Parentheses (simplify inside 'em)

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

So we first solve parentheses:

11[(9^2-5^2)= 11(81-25)=11(56)= 616.

and now we have to divide that by the result of:

2^2+8

Remember first exponents:

2^2+8= 4+8=12

ANd now we just divide:

616/12=51.3333

So the answer would be 51.3