Math homework, a bit tired out and can't really do an equation without getting sidetracked.

C

Step-by-step explanation:

Using Pemdas:

3 (1 + 4) / 3 + 4^2

3 (5) / 3 + 4^2

3 (5) / 3 + 16

15 / 3 + 16

A

Step-by-step explanation:

First you have to simplify the equation, you should use PEMDAS. This means you first have to simplify the parenthesis.  simplify it, multiply 3 by 1 and 4. This makes the equation 3+12/3+4^2. Then following PEMDAS, you simplify the exponent. 4^2 is the same as 4x4 so 4^2 is 16. 3+12/3+16, then you can simplify either side first. 3+12/18, then you simplify the only part left. 15/18. The GCM of this fraction is 3 so you divide both sides by 3. 15/3/18/3. Simplify this to get 5/6.

When you simplify equation A, you get 15/3/6. First simplify 15/3 to get 5. This equation answer is 5/6 which is equal to 5/6 so this is the correct answer.

When you simplify equation B, you get 15/3/8. Simplify 15/3 again and get 5. This equation answer is 5/8 which is not equal to 5/6 so this is not the correct answer.

When you simplify equation C, you get 15/3/16. Simplify 15/3 first and get 5. 5/16 is not equal to 5/6 so this is not the correct answer.

Therefore, Equation A is the correct answer.

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step-by-step explanation: