Respuesta :

ElephantHouse

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.

Dan2008

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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