Algebraically at what temp is Celsius 1/4 that of Fahrenheit??
ie C = 1/4 F
TF = Fahrenheit temperature
TC = Celsius temperature
TF = ( 9 / 5 ) * TC + 32
TF = ( 9 / 5) * ( 1 / 4 ) + 32
TF = ( 9 / 20 ) + 32
TF = 9 / 20 + 640 / 20
TF = 649 / 20
TF = 32.45
( 1 / 4 ) ° C = 32.45 ° F
Hmmm. I interpreted it to mean
Find the temperature where C temperature is 1/4 the F
C = 1/4 (9/5 C + 32)
4C = 9/5 C + 32
20C = 9C + 160
11C = 160
C = 14.545
F = 9/5 * 14.54 + 32 = 58.18
58.18 = 4*14.545
To find the temperature at which Celsius (C) is one-fourth of Fahrenheit (F), we can set up an equation and solve for the unknown temperature.
The formula for converting temperature from Celsius to Fahrenheit is given by:
F = (9/5)C + 32
Substituting C = (1/4)F into the equation, we have:
F = (9/5)(1/4)F + 32
Let's solve for F:
Multiply (9/5)(1/4)F:
F = (9/20)F + 32
Subtract (9/20)F from both sides to get all the F terms on one side:
F - (9/20)F = 32
Simplify the left side:
(20/20)F - (9/20)F = 32
(11/20)F = 32
Now, isolate F by multiplying both sides of the equation by (20/11):
(20/11)(11/20)F = (20/11)(32)
F = 640/11 ≈ 58.18
Therefore, at a temperature of approximately 58.18°F, the Celsius temperature is one-fourth of the Fahrenheit temperature.
To find the temperature at which Celsius is one-fourth that of Fahrenheit, we can set up an equation and solve it algebraically.
The formula to convert Celsius to Fahrenheit is given by:
F = (9/5)C + 32
To determine the temperature at which Celsius is one-fourth of Fahrenheit, we substitute C = (1/4)F into the equation above:
F = (9/5) * (1/4)F + 32
Now, let's solve for F:
Multiply (9/5) by (1/4)F:
F = (9/20)F + 32
To remove the fraction, we can multiply the equation by 20 to get rid of the denominator:
20F = 9F + 640
Combine like terms:
20F - 9F = 640
11F = 640
Divide both sides by 11:
F = 640 / 11
F ≈ 58.18
Therefore, at around 58.18 degrees Fahrenheit, the Celsius temperature will be one-fourth of that value.
To confirm, we substitute this value for F in the conversion formula:
C = (1/4) * (58.18) ≈ 14.55
Hence, when Fahrenheit is approximately 58.18 degrees, Celsius will be approximately 14.55 degrees, making C one-fourth of F.