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Sagot :
Answer:
C ≈ 26.7
Step-by-step explanation:
The given equation to solve is F = [tex]\frac{9}{5}[/tex]C + 32.
F is given the value of 80.
So, the equation to solve is 80 = [tex]\frac{9}{5}\\[/tex]C + 32.
[tex]\frac{9}{5}[/tex]C + 32 = 80 First, isolate the variable C by subtracting 32 from both sides.
[tex]\frac{9}{5}[/tex]C = 48 Next, show C in its true form by multiplying both sides by the reciprocal of [tex]\frac{9}{5}[/tex].
[tex]\frac{5}{9}[/tex]([tex]\frac{9}{5}[/tex]C) = [tex]\frac{5}{9}[/tex](48)
C = 26.666→∞
Rounding to the nearest tenth, the value of C is 26.7 °C.
The answer you are looking for is
Solution/Explanation:
Writing out the formula for converting Fahrenheit and Celsius first
F=9/5C+32
Substituting the given value of the "F" or "Fahrenheit" variable, 80,
80=9/5C+32
Subtracting 32 from both sides
80-32=9/5C+32-32
Since 32-32=0, this cancels out.
80-32=9/5C+0
80-32=9/5C
Simplifying 80-32, which is 48
48=9/5C
Multiplying both sides by 5
(48)(5)=(9/5C)(5)
Simplifying both sides of the equation
240=9C
Finally, dividing both sides of the equation by 9
240/9=9C/9
240/9=26.6667
9C/9=C
You will get 26.6667=C, or C=26.6667.
You can round 26.6667 to the nearest tenth as approximately 26.7.
So, therefore, the final answer to this problem is C≈26.7°C.
Hope this helped answer your question for you. Good day to you.
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