Solve for F: \displaystyle{F = \frac{9}{5}(20) + 32}F = 68 degrees Fahrenheit

  • Thread starter Holocene
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In summary, the relationship between degrees Fahrenheit and degrees Celsius is given by the formula C = (5/9)(F-32). To find the temperature where degrees Celsius is 20 more than degrees Fahrenheit, the equation to solve is (5/9)(F-32) = F+20. By substituting C = F+20, we can find the correct solution. At -40 degrees, both scales are equal and this is not relevant to the question at hand.
  • #1
Holocene
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Homework Statement



The relationship between degrees Fahrenheit and degree Celsius is given by the formula:

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

For what temperature will degrees Celsius be 20 more than degrees farenheit?

The Attempt at a Solution



Is this the equation to solve?

[tex]\displaystyle{\frac{5}{9}(F - 32) = F + 20}[/tex]
 
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  • #2
Yes it is
 
  • #3
Holocene said:

Homework Statement



The relationship between degrees Fahrenheit and degree Celsius is given by the formula:

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

For what temperature will degrees Celsius be 20 more than degrees farenheit?

The Attempt at a Solution



Is this the equation to solve?

[tex]\displaystyle{\frac{5}{9}(F - 32) = F + 20}[/tex]

Celsius must be 20 degrees more than Farenheit, so [tex]C = F + 20[/tex] is the correct substitution.
 
  • #4
colby2152 said:
Celsius must be 20 degrees more than Farenheit, so [tex]C = F + 20[/tex] is the correct substitution.

This is just wrong. at -40 the 2 scales are equal.
 
  • #5
colby2152 said:
Celsius must be 20 degrees more than Farenheit, so [tex]C = F + 20[/tex] is the correct substitution.

Integral said:
This is just wrong. at -40 the 2 scales are equal.
What does that have to do with the question? No one is saying that "C= F+ 20" is generally true, just that it is true when "the degrees Celcius is 20 degrees more than Farenheit". C= F+ 20 is just a restatement of that.
 

FAQ: Solve for F: \displaystyle{F = \frac{9}{5}(20) + 32}F = 68 degrees Fahrenheit

What does the equation F = (9/5)(20) + 32 represent?

The equation represents the conversion from degrees Celsius to degrees Fahrenheit. It is used to convert temperatures from the metric system to the imperial system.

Why is 32 added to the result of (9/5)(20)?

32 is added because it represents the freezing point of water in degrees Fahrenheit. This ensures that the conversion is accurate and aligns with the freezing point of water in both systems.

How do I use this equation to convert temperatures?

To use this equation, simply plug in the value of the temperature in degrees Celsius for F and solve for the corresponding value in degrees Fahrenheit. The resulting value will be the converted temperature.

Is this conversion formula accurate?

Yes, this conversion formula is accurate and is commonly used in scientific and everyday applications. However, it is important to note that the formula only provides an approximation and may not be exact in all cases.

Can this equation be used to convert temperatures in the opposite direction?

Yes, this equation can be rearranged to convert temperatures from degrees Fahrenheit to degrees Celsius. The equation would be C = (5/9)(F - 32), where C represents the temperature in degrees Celsius.

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