contestada

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

F = 9 over 5 C + 32

Which of the following formulas correctly solves for C?
A) C = 5F − 32 over 9
B) C = 5 F over 9 − 32
C) C = 9 over 5 (F − 32)
D) C = 5 over 9 (F − 32)

Respuesta :

CRACKHEAD

it is the last option C=5/9(F-32)

Answer:

option (D) is correct.

formula that solves for C is  [tex]C=\frac{5(F-32)}{9}[/tex]

Step-by-step explanation:

Given :  the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F as ,  [tex]F=\frac{9}{5}C+32[/tex]

We have to find the correct formula that solve for C,

Consider the given formula,

[tex]F=\frac{9}{5}C+32[/tex]

We have to find formula for C,

Thus, first subtract 32 both side, we get,

[tex]F-32=\frac{9}{5}C[/tex]

Now, multiply  5 both side, we get,

[tex]5(F-32)={9}C[/tex]

Now , divide both side by 9, we get,

[tex]\frac{5(F-32)}{9}=C[/tex]

Thus, formula that solves for C is  [tex]C=\frac{5(F-32)}{9}[/tex]

Thus, option (D) is correct.