Subjects algebra

Celsius To Fahrenheit 4C5D68

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1. **State the problem:** Convert 3°C to Fahrenheit using the formula $$C = \frac{5}{9}(F - 32)$$. 2. **Formula and explanation:** The formula relates Celsius (C) and Fahrenheit (F) temperatures. To find Fahrenheit from Celsius, we need to solve for $F$: $$C = \frac{5}{9}(F - 32)$$ 3. **Isolate $F$:** Multiply both sides by 9 to cancel the denominator: $$9C = 5(F - 32)$$ 4. **Divide both sides by 5:** $$\frac{9C}{\cancel{5}} = \cancel{5}\frac{F - 32}{5} \Rightarrow \frac{9C}{5} = F - 32$$ 5. **Add 32 to both sides:** $$F = \frac{9C}{5} + 32$$ 6. **Substitute $C=3$:** $$F = \frac{9 \times 3}{5} + 32 = \frac{27}{5} + 32 = 5.4 + 32 = 37.4$$ 7. **Final answer:** The equivalent temperature in Fahrenheit is **37.4°F**.