The relationship between degrees Celsius (C) and degrees Fahrenheit (F) is modeled by the linear equation
F=9/5 C+32
Solve this equation for C. (Show all steps.)
Find the Celsius temperature that corresponds to 70 degrees Fahrenheit.
To solve the equation F = 9/5 C + 32 for C, we need to isolate C on one side of the equation.
Subtract 32 from both sides:
F - 32 = 9/5 C
Next, multiply both sides by 5/9 to isolate C:
(5/9)(F - 32) = C
Simplifying the right side:
C = (5/9)(F - 32)
Now we can substitute 70 degrees Fahrenheit for F to find the corresponding Celsius temperature:
C = (5/9)(70 - 32)
C = (5/9)(38)
C = 190/9
C ≈ 21.11
Therefore, 70 degrees Fahrenheit is approximately equivalent to 21.11 degrees Celsius.
To solve the equation F = (9/5)C + 32 for C, we need to isolate C.
Step 1: Start with the given equation: F = (9/5)C + 32.
Step 2: Subtract 32 from both sides of the equation to move it to the other side:
F - 32 = (9/5)C.
Step 3: To simplify the equation, multiply both sides by 5/9 to cancel out the fraction:
(5/9)(F - 32) = (5/9)(9/5)C.
Simplifying the right side gives us:
(5/9)(F - 32) = C.
So the equation is now C = (5/9)(F - 32).
To find the Celsius temperature that corresponds to 70 degrees Fahrenheit, plug in F = 70 into the equation above:
C = (5/9)(70 - 32).
Simplifying the equation further, we have:
C = (5/9)(38).
Divide 38 by 9 and then multiply the quotient by 5 to get:
C ≈ 21.11.
Therefore, 70 degrees Fahrenheit is approximately equal to 21.11 degrees Celsius.
To solve the equation F = (9/5)C + 32 for C, we need to isolate C on one side of the equation.
Step 1: Start with the equation F = (9/5)C + 32.
Step 2: Subtract 32 from both sides of the equation to isolate (9/5)C.
F - 32 = (9/5)C.
Step 3: Multiply both sides of the equation by 5/9 to solve for C.
C = (5/9)(F - 32).
Therefore, the equation can be rewritten as C = (5/9)(F - 32).
To find the Celsius temperature that corresponds to 70 degrees Fahrenheit, substitute F = 70 into the equation.
C = (5/9)(70 - 32).
Step 1: Simplify the expression inside the parentheses.
C = (5/9)(38).
Step 2: Multiply 5/9 by 38.
C = (5/9)(38) = 190/9 ≈ 21.11.
Therefore, the Celsius temperature that corresponds to 70 degrees Fahrenheit is approximately 21.11 degrees Celsius.