At what Celsius temperature will the numerical reading on the Fahrenheit thermometer be 44 degress less than that on the Celsius thermometer?
c - 44 = f
f = (9/5 c) + 32
substituting
... c - 44 = (9/5 c) + 32
I’m asking if the temperature outside is 44 decree Celsius what is it in the other temperature Fahrenheit
To determine the Celsius temperature at which the numerical reading on the Fahrenheit thermometer will be 44 degrees less than that on the Celsius thermometer, we can use the Fahrenheit to Celsius conversion formula.
The formula to convert Fahrenheit to Celsius is:
°C = (°F - 32) * 5/9
We need to find the point where the Fahrenheit temperature is 44 degrees less than the corresponding Celsius temperature.
Let's assume the Celsius temperature is x°C. We can then write the following equation:
x = (x - 32) * 5/9 - 44
Simplifying the equation:
Multiply both sides of the equation by 9 to eliminate the denominator:
9x = (x - 32) * 5 - 396
Expanding the brackets:
9x = 5x - 160 - 396
Combine like terms:
9x - 5x = -556
4x = -556
Divide both sides of the equation by 4 to isolate x:
x = -556/4
x = -139
Therefore, at a Celsius temperature of -139°C, the numerical reading on the Fahrenheit thermometer will be 44 degrees less than that on the Celsius thermometer.
To find the Celsius temperature at which the numerical reading on the Fahrenheit thermometer is 44 degrees less than that on the Celsius thermometer, we can set up an equation using the conversion formulas between Celsius and Fahrenheit temperatures.
Let's denote the Celsius temperature as "C" and the Fahrenheit temperature as "F".
The formula to convert Celsius to Fahrenheit is: F = (9/5) * C + 32.
Similarly, the formula to convert Fahrenheit to Celsius is: C = (5/9) * (F - 32).
We know that the numerical reading on the Fahrenheit thermometer is 44 degrees less than the Celsius thermometer. Mathematically, we can express this as: F = C - 44.
Substituting the conversion formulas into this equation, we get:
(9/5) * C + 32 = C - 44.
To solve for C, we can simplify this equation:
(9/5) * C - C = -44 - 32
(9C - 5C) / 5 = -76
4C / 5 = -76
4C = -76 * 5
4C = -380
C = -380 / 4
C = -95.
Therefore, the Celsius temperature at which the numerical reading on the Fahrenheit thermometer is 44 degrees less than that on the Celsius thermometer is -95 degrees Celsius.