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Which expression is equivalent to [tex]36 \div 3 + 3[/tex]?

A. [tex]3 \cdot 2^2 + 3[/tex]
(3 times 2 squared plus 3)

B. [tex]3 \cdot 2^2 \div 3[/tex]
(3 times 2 squared divided by 3)

C. [tex]2^2 + 3 \cdot 3[/tex]
(2 squared plus 3 times 3)

D. [tex]2^2 \div 3 \cdot 3[/tex]
(2 squared divided by 3 times 3)

Answer :

Final answer:

The mathematical expression that is equivalent to 36÷3+3 is 3⋅22+3 because both expressions result in the value 15.

Explanation:

To answer your question, which expression is equivalent to 36÷3+3, we first have to calculate the expression 36÷3+3. This calculation follows these steps: first, 36 divided by 3, which equals 12, then add 3 to get 15. So we're looking for an expression that also results in 15.

Let's check each option:

  1. 3⋅22+3 means 3 times 4 (2 squared is 4) plus 3, which equals 12+3=15, so this one is equivalent.
  2. 22+3⋅3 means 4 (2 squared is 4) plus 9 (3 times 3), which equals 13, so this one is not equivalent.
  3. 22÷3⋅3 means 4 (2 squared is 4) divided by 3, which is approximately 1.33, times 3 equals approximately 4, so this one is not equivalent either.

So, the expression equivalent to 36÷3+3 is the first one: 3⋅22+3.

Learn more about Equivalent Expressions here:

https://brainly.com/question/34744290

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3 time 2 squared plus 3 is the correct answer!