SOLUTION: the relationship between celsius and fahrenheit is given by the following equation c=5/9 (f-32) a. what is the celsius equivalent of 32 degrees fahrenheit? b. what is the celsiu

Algebra ->  Equations -> SOLUTION: the relationship between celsius and fahrenheit is given by the following equation c=5/9 (f-32) a. what is the celsius equivalent of 32 degrees fahrenheit? b. what is the celsiu      Log On


   

Question 117578: the relationship between celsius and fahrenheit is given by the following equation
c=5/9 (f-32)
a. what is the celsius equivalent of 32 degrees fahrenheit?
b. what is the celsius equivalent of 212 degrees fahrenheit?
c. what is the celsius equivalent of -40 degrees fahrenheit?
what is noticed between the two
thank you
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a. what is the Celsius equivalent of 32 degrees Fahrenheit?
c=%285%2F9%29+%28f-32%29
f=32 degrees, then the Celsius equivalent is:
c=%285%2F9%29+%2832-32%29

c=%285%2F9%29+%280%29
c=0 degrees
b. what is the Celsius equivalent of 212 degrees Fahrenheit?
c=%285%2F9%29+%28f-32%29
f=212 degrees, then the Celsius equivalent is:
c=%285%2F9%29+%28212-32%29

c=%285%2F9%29+%28180%29

c=5+%2A%28180%29%2F9
c=+900%2F9
c=+100 degrees



c. what is the Celsius equivalent of -40 degrees Fahrenheit?

c=%285%2F9%29+%28f-32%29
f=+-40 degrees, then the Celsius equivalent is:
c=%285%2F9+%29%28-40-32%29

c=%285%2F9%29+%28-72%29

c=5+%2A%28-72%29%2F9
c=+-360%2F9
c=+-40 degrees

I noticed that both the Fahrenheit and Celsius are same.