1. **Stating the problem:** Convert temperatures between Fahrenheit (°F) and Celsius (°C) for given thermometers and specific values. 2. **Formulas used:** - To convert Fahrenheit to Celsius: $$C=\frac{5}{9}(F-32)$$ - To convert Celsius to Fahrenheit: $$F=\frac{9}{5}C+32$$ 3. **Important rules:** - Always subtract 32 before multiplying by 5/9 when converting from Fahrenheit to Celsius. - When converting from Celsius to Fahrenheit, multiply by 9/5 first, then add 32. - Round final answers to the nearest whole number. 4. **Part 24: Reading temperatures from thermometers (assuming example values):** - a. Suppose thermometer a shows 20°C and 68°F. - b. Suppose thermometer b shows 0°C and 32°F. - c. Suppose thermometer c shows 100°C and 212°F. 5. **Part 25: Convert given temperatures:** - Convert -30°F to °C: $$C=\frac{5}{9}(-30-32)=\frac{5}{9}(-62)=-\frac{310}{9}=-34.44\approx -34$$ - Convert 65°F to °C: $$C=\frac{5}{9}(65-32)=\frac{5}{9}(33)=\frac{165}{9}=18.33\approx 18$$ - Convert 42°F to °C: $$C=\frac{5}{9}(42-32)=\frac{5}{9}(10)=\frac{50}{9}=5.56\approx 6$$ - Convert 35°C to °F: $$F=\frac{9}{5}\times 35 + 32=63 + 32=95$$ - Convert -12°C to °F: $$F=\frac{9}{5}\times (-12) + 32=-21.6 + 32=10.4\approx 10$$ - Convert 7°C to °F: $$F=\frac{9}{5}\times 7 + 32=12.6 + 32=44.6\approx 45$$ **Final answers:** -30°F = -34°C, 65°F = 18°C, 42°F = 6°C 35°C = 95°F, -12°C = 10°F, 7°C = 45°F