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alg

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- MHB
- Thread starter alg
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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

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- #2

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frctl said:How do I solve for F in

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

-Dan

- #3

alg

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Is the following correct?

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

C = F - 1/32

F = C + 1/32

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

C = F - 1/32

F = C + 1/32

- #4

skeeter

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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

alg

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F = 9/5C + 32

Thank you!

Thank you!

- #6

skeeter

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frctl said:F = 9/5C + 32

correction ...

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

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.

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.

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.

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.

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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