Question

60 ÷ (6 + w)

Which expression is equivalent to the expression shown above?
Responses
A (6 + w) ÷ 60(6 + w ) ÷ 60
B 60 ÷ 6 + 60 ÷ w60 ÷ 6 + 60 ÷ w
C (6 ÷ 60) + w(6 ÷ 60) + w
D 60 ÷ (w + 6)
SHOW YOUR WORK

Answer 1

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Answer 2

To find the equivalent expression, let's simplify the expression given:

60 ÷ (6 + w)

The expression cannot be simplified further, so the equivalent expression is:

D) 60 ÷ (w + 6)

Answer 3

To find the equivalent expression, let's simplify the expression given step by step:

Step 1: Distribute the division to both terms inside the parentheses:

60 ÷ 6 + 60 ÷ w

Step 2: Simplify the divisions:

360 ÷ 6 + 60 ÷ w

Step 3: Simplify the divisions:

60 + 60 ÷ w

Now, let's compare this with the original expression:

60 + 60 ÷ w is not equivalent to 60 ÷ (6 + w)

Therefore, option B is not the correct answer.

Next, let's try option C:

(6 ÷ 60) + w(6 ÷ 60) + w

This expression is not equivalent to the original expression, so option C is not the correct answer.

Finally, let's try option D:

60 ÷ (w + 6)

This expression is equivalent to the original expression. So, the correct answer is option D.