College

Temperature in degrees Fahrenheit, [tex]F[/tex], is related to temperature in degrees Celsius, [tex]C[/tex], by the equation:

[tex]\[ F = \frac{9}{5} C + 32 \][/tex]

a) How many degrees Fahrenheit is [tex]40[/tex] degrees Celsius?

b) How many degrees Celsius is [tex]-58[/tex] degrees Fahrenheit?

Answer :

Sure, I'd be happy to help with this!

a) To convert 40 degrees Celsius to degrees Fahrenheit, we use the formula:

[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

Substituting [tex]\( C = 40 \)[/tex] into the formula:

[tex]\[ F = \frac{9}{5} \times 40 + 32 \][/tex]

First, multiply [tex]\(\frac{9}{5}\)[/tex] by 40:

[tex]\[ \frac{9}{5} \times 40 = 72 \][/tex]

Then, add 32:

[tex]\[ 72 + 32 = 104 \][/tex]

So, 40 degrees Celsius is equal to 104 degrees Fahrenheit.

b) To convert -58 degrees Fahrenheit to degrees Celsius, we use the formula:

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

Substituting [tex]\( F = -58 \)[/tex] into the formula:

[tex]\[ C = \frac{5}{9}(-58 - 32) \][/tex]

First, subtract 32 from -58:

[tex]\[ -58 - 32 = -90 \][/tex]

Then multiply by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[ C = \frac{5}{9} \times (-90) = -50 \][/tex]

So, -58 degrees Fahrenheit is equal to -50 degrees Celsius.

There you go! Those are the solutions for the conversion between Celsius and Fahrenheit for the given temperatures.

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