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QuestionMathematics

6 centimeters is the same as how many inches? Hint: 1 cm ≈ 0.39 in Round your answer to the nearest tenth.
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Answer

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Step 1:
: Write down the conversion factor provided in the hint.

The conversion factor is $$1 ~\text{cm} \approx 0.39 ~\text{in}$$.

Step 2:
: Since the problem asks for the number of inches in 6 centimeters, set up a proportion using the conversion factor.

\frac{1 ~\text{cm}}{0.39 ~\text{in}} = \frac{6 ~\text{cm}}{x ~\text{in}}

Step 3:
: Solve for x (the number of inches in 6 centimeters) by cross-multiplying.

0.39 ~\text{in} \times 6 ~\text{cm} = 1 ~\text{cm} \times x ~\text{in}

Step 4:
: Divide both sides by 1 cm to isolate x.

x ~\text{in} = \frac{0.39 ~\text{in} \times 6 ~\text{cm}}{1 ~\text{cm}}

Step 5:
: Simplify the equation.

x ~\text{in} = 2.34 ~\text{in}

Final Answer

6 centimeters is approximately 2.3 inches to the nearest tenth.