How do I solve for F in F = 9/5C + 32?

  • MHB
  • Thread starter alg
  • Start date
In summary, to solve for F in the equation 9/5C = 9/5F - 9/5(1/32), you can multiply both sides by 5/9 and then rearrange the equation to get F by itself on one side. The final solution is F = 5/9C + 32.
  • #1
alg
6
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How do I solve for F in

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  • #2
frctl said:
How do I solve for F in

Hint: Multiply both sides of the equation by 5/9.

-Dan
 
  • #3
Is the following correct?

9/5C = 9/5F - 9/5(1/32)
C = F - 1/32
F = C + 1/32
 
  • #4
frctl said:
Is the following correct?

9/5C = 9/5F - 9/5(1/32)
C = F - 1/32
F = C + 1/32

not quite ...

$C = \dfrac{9}{5}(F-32)$

as suggested by topsquark ...

${\color{red}\dfrac{5}{9}} \cdot C = {\color{red}\dfrac{5}{9}} \cdot \dfrac{9}{5}(F-32)$

$\dfrac{5}{9} \cdot C = \cancel{\dfrac{5}{9}} \cdot \cancel{\dfrac{9}{5}} ( F - 32)$ (note that any number times its reciprocal equals 1)

$\dfrac{5}{9} \cdot C = F - 32$

can you finish ?
 
  • #5
F = 9/5C + 32

Thank you!
 
  • #6
frctl said:
F = 9/5C + 32

correction ...

$F=\dfrac{5}{9} \cdot C + 32$
 

FAQ: How do I solve for F in F = 9/5C + 32?

How do I solve for F if I know the value of C?

To solve for F in the equation F = 9/5C + 32, you simply need to plug in the value of C into the equation and use basic algebra to solve for F. For example, if C = 20, the equation would become F = 9/5(20) + 32, which simplifies to F = 68.

What is the formula for converting Celsius to Fahrenheit?

The formula for converting Celsius to Fahrenheit is F = 9/5C + 32. This means that you multiply the Celsius temperature by 9/5 and then add 32 to get the equivalent temperature in Fahrenheit.

Can I use a calculator to solve for F in this equation?

Yes, you can use a calculator to solve for F in the equation F = 9/5C + 32. Simply input the value of C and use the calculator to perform the necessary mathematical operations to find the value of F.

Is this equation accurate for all temperatures?

Yes, this equation is accurate for all temperatures. It is a standard formula for converting between Celsius and Fahrenheit and has been scientifically proven to be accurate.

How do I know which temperature scale to use when solving for F?

The temperature scale to use when solving for F depends on the given information. If the given temperature is in Celsius, you will use the formula F = 9/5C + 32 to find the equivalent temperature in Fahrenheit. If the given temperature is in Fahrenheit, you will use the formula C = 5/9(F - 32) to find the equivalent temperature in Celsius.

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