Question

Solve for the variable. You do not have to show your work:
4/w = 10

Answer 1

Hi there!

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I believe your answer is:

`w=(2)/(5)`

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Here’s why:

• We will use inverse operations to solve for the variable 'w'.

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`\boxed{\text{Calculating the Answer...}}\\\\(4)/(w)=10\\-----------\\\rightarrow ((4)/(w))w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow(10w=4)/(10)\\\\\rightarrow w=(4)/(10)\\\\-----------------\\(4)/(10)\text{ can be simplified.} \\\\\rightarrow(4)/(10)=(4/2)/(10/2)=(2)/(5)\\-----------------\\\\\rightarrow\boxed{w=(2)/(5)}`

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Hope this helps you. I apologize if it’s incorrect.

Answer 2

2/5 =w

Explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w