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Water boils at [tex]$100^{\circ}$ Celsius[/tex] or [tex][tex]$212^{\circ}$[/tex] Fahrenheit[/tex]. Water freezes at [tex]$0^{\circ}$ Celsius[/tex] or [tex][tex]$32^{\circ}$[/tex] Fahrenheit[/tex]. If the weather forecaster says it will be [tex]$25^{\circ}$ Celsius[/tex] today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answer :

To find the Fahrenheit temperature when the Celsius temperature is [tex]\(25^{\circ}\)[/tex], we can use the formula to convert Celsius to Fahrenheit. The formula is:

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

Where:
- [tex]\( F \)[/tex] is the temperature in Fahrenheit.
- [tex]\( C \)[/tex] is the temperature in Celsius.

Let's substitute [tex]\( C = 25 \)[/tex] into the formula:

[tex]\[ F = 25 \times \frac{9}{5} + 32 \][/tex]

First, calculate the multiplication:

[tex]\[ 25 \times \frac{9}{5} = 45 \][/tex]

Then, add 32 to the result:

[tex]\[ 45 + 32 = 77 \][/tex]

So, the temperature in Fahrenheit is [tex]\(77^{\circ}\)[/tex]. This means when the Celsius temperature is [tex]\(25^{\circ}\)[/tex], the corresponding Fahrenheit temperature is [tex]\(77^{\circ}\)[/tex].

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