This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to find the temperature where Celsius and Fahrenheit scales read the same. Step 1: Write down the conversion formula between Celsius (T_C) and Fahrenheit (T_F). The formula to convert Celsius to Fahrenheit is: T_F = (9)/(5)T_C + 32 Step 2: Set the Celsius and Fahrenheit temperatures equal to each other. Let T_C = T_F = x. Substitute x into the conversion formula: x = (9)/(5)x + 32 Step 3: Solve the equation for x. Subtract (9)/(5)x from both sides of the equation: x - (9)/(5)x = 32 Combine the terms with x: (5)/(5)x - (9)/(5)x = 32 -(4)/(5)x = 32 Multiply both sides by -(5)/(4) to isolate x: x = 32 × (-(5)/(4)) x = -8 × 5 x = -40 The temperature at which the Celsius and Fahrenheit scales record the same reading is -40^. That's 2 down. 3 left today — send the next one.