Subjects algebra

Fahrenheit To Celsius D2A183

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1. The problem asks to convert 12°F to Celsius using the formula $$C = \frac{5}{9}(F - 32)$$ and round to the nearest tenth. 2. Substitute $F = 12$ into the formula: $$C = \frac{5}{9}(12 - 32)$$ 3. Simplify inside the parentheses: $$12 - 32 = -20$$ 4. So, $$C = \frac{5}{9} \times (-20)$$ 5. Multiply numerator and denominator: $$C = \frac{5 \times (-20)}{9} = \frac{-100}{9}$$ 6. Simplify the fraction by dividing numerator and denominator by \cancel{1} (no common factor other than 1): $$C = -\frac{100}{9}$$ 7. Calculate the decimal value: $$C \approx -11.111...$$ 8. Round to the nearest tenth: $$C \approx -11.1$$ 9. Therefore, 12°F is approximately $-11.1^\circ$C. Note: The options given do not include $-11.1^\circ$C, so the correct conversion is $-11.1^\circ$C, not any of the positive values listed.