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Q
QuestionMathematics

If 2 inches is 5 centimeters, which of the following is correct?
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the given information

- We know that 2 inches = 5 centimeters - We need to find the correct conversion relationship

Step 3:
: Set up the conversion ratio

\frac{2 \text{ inches}}{5 \text{ centimeters}} = \frac{x \text{ inches}}{y \text{ centimeters}}

Step 4:
: Cross multiply to find the relationship

2y = 5x

Step 5:
: Rearrange the equation to express the relationship

x = \frac{2y}{5}

Step 6:
: Analyze the possible conversion relationships

- This means that for any number of inches, you would multiply by $$\frac{2}{5}$$ to get the equivalent number of centimeters

Step 7:
: Verify the conversion

- Then 1 inch would equal $$\frac{5}{2} = 2.5$$ centimeters
- If 2 inches = 5 centimeters

Final Answer

The correct conversion is 1 inch = 2.5 centimeters.