The equation cap c equals start fraction five over nine end fraction left parenthesis cap f minus 32 right parenthesis is used to convert Fahrenheit temperature to Celsius temperature. What is the value for F, after the equation is rearranged?

a. cap f equals start fraction five over nine end fraction cap c plus 32
b. cap f equals start fraction nine over five end fraction cap c minus 32
c. cap f equals start fraction nine over five end fraction cap c plus 32
d. cap f equals start fraction five over nine end fraction cap c minus 32

Respuesta :

C = 5/9f - 32....for f
C + 32 = 5/9f
9/5(C + 32) = f

Answer: c. cap f equals start fraction nine over five end fraction cap c plus 32

Step-by-step explanation:

Given: The equation cap c equals start fraction five over nine end fraction left parenthesis cap f minus 32 right parenthesis is used to convert Fahrenheit temperature to Celsius temperature.

i.e.  [tex]C=\dfrac{5}{9}(F-32)[/tex]

To rearrange the given equation for F , we first Multiply 9 and divide 5 on both sides , we get

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

Now, Add 32 on both the sides , we get

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

i.e. " cap f equals start fraction nine over five end fraction cap c plus 32"