Practicing Success
At which temperature are Fahrenheit and Celsius equal? |
-30 -40 -10 -20 |
-40 |
The correct answer is option 2. \(-40\) To find the temperature at which Fahrenheit and Celsius are equal, we can use the conversion formula: \[°F = \frac{9}{5} °C + 32\] We can set °F equal to °C and solve for the temperature: \[°C = \frac{9}{5} °C + 32\] Subtracting \( \frac{9}{5} °C \) from both sides: \[0 = \frac{9}{5} °C - °C + 32\] \[0 = \frac{4}{5} °C + 32\] Subtracting 32 from both sides: \[-32 = \frac{4}{5} °C\] To solve for \( °C \), multiply both sides by \( \frac{5}{4} \): \[°C = -32 \times \frac{5}{4}\] \[°C = -40\] So, the temperature at which Fahrenheit and Celsius are equal is \( -40 \) degrees. Therefore, the correct option is: 2. -40 |