Respuesta :
Equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit will be [tex]\rm C = \dfrac{F-32}{95}[/tex] and it can be determine by using some arithmetic operations.
Given :
Formula to calculate temperature in degrees Fahrenheit: F = 95C+32 --- (1)
The given equation (1) can be used to determine the equation to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.
To determine equation for degrees Celcius following steps can be used:
Step 1 - In equation (1) subtract 32 on both the sides.
[tex]\rm F - 32 = 95C +32-32[/tex]
[tex]\rm F -32 = 95C[/tex]
Step 2 - Now divide 95 on both the sides in above equation.
[tex]\rm C = \dfrac{F-32}{95}[/tex]
Therefore, by using some arithmetic operations, equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be: [tex]\rm C = \dfrac{F-32}{95}[/tex]
For more information, refer the link given below:
https://brainly.com/question/19770987
Solving for a variable in an equation involves changing the subject of the formula
The equation for the temperature in degrees Celsius is: [tex]\mathbf{C(F) = \frac 59(F -32) }[/tex]
The equation is given as:
[tex]\mathbf{F(C) =\frac 95C + 32}[/tex]
Rewrite as:
[tex]\mathbf{F =\frac 95C + 32}[/tex]
Subtract 32 from both sides
[tex]\mathbf{F -32 =\frac 95C }[/tex]
Multiply through by 5
[tex]\mathbf{5(F -32) =9C }[/tex]
Divide through by 9
[tex]\mathbf{\frac 59(F -32) =C }[/tex]
Rewrite as:
[tex]\mathbf{C = \frac 59(F -32) }[/tex]
Express as a function
[tex]\mathbf{C(F) = \frac 59(F -32) }[/tex]
Hence, the required equation is: [tex]\mathbf{C(F) = \frac 59(F -32) }[/tex]
Read more about subject of formulas at:
https://brainly.com/question/21866313
