College

The equation [tex]$F = \frac{9}{5}C + 32$[/tex] gives the Fahrenheit temperature [tex]$F$[/tex] corresponding to the Celsius temperature [tex][tex]$C$[/tex][/tex].

Find the Fahrenheit temperature equivalent to [tex]$-5^{\circ}C$[/tex].

The Fahrenheit temperature equivalent to [tex]$-5^{\circ}C$[/tex] is [tex][tex]$\square^{\circ}F$[/tex][/tex].

Answer :

To find the Fahrenheit temperature equivalent to [tex]\(-5^{\circ} C\)[/tex], we can use the formula for converting Celsius to Fahrenheit:

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

Let's go through the steps using this formula:

1. Identify the Celsius temperature:
The given Celsius temperature is [tex]\(-5^{\circ} C\)[/tex].

2. Substitute the value of [tex]\(C\)[/tex] into the formula:
[tex]\[ F = \frac{9}{5}(-5) + 32 \][/tex]

3. Calculate the fraction part:
[tex]\[ \frac{9}{5} \times (-5) = -9 \][/tex]

4. Add 32 to the result:
[tex]\[ F = -9 + 32 = 23 \][/tex]

Thus, the Fahrenheit temperature equivalent to [tex]\(-5^{\circ} C\)[/tex] is [tex]\(23^{\circ} F\)[/tex].