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Answer :
To convert temperatures from Celsius to Fahrenheit, you need to use the following formula:
[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]
where:
- [tex]\( F \)[/tex] represents the temperature in Fahrenheit,
- [tex]\( C \)[/tex] represents the temperature in Celsius.
Let's analyze each of the equations provided in the question to identify the correct conversion formula:
1. [tex]\( F = C \left( \frac{9}{5} + 32 \right) \)[/tex]:
- This equation incorrectly adds 32 inside the multiplication with Celsius, which is not correct.
2. [tex]\( F = \frac{9}{5} + 32 C \)[/tex]:
- This equation incorrectly places 32 as a multiplier of Celsius, which is not accurate for the conversion process.
3. [tex]\( F = \frac{9}{5}(C+32) \)[/tex]:
- This equation mistakenly adds 32 to Celsius before multiplying by [tex]\(\frac{9}{5}\)[/tex]. This is not the correct order of operations for the conversion.
4. [tex]\( F = \frac{9}{5} C + 32 \)[/tex]:
- This is the correct formula. It first multiplies Celsius by [tex]\(\frac{9}{5}\)[/tex] and then adds 32, which is exactly what the conversion method requires.
Therefore, the equation that can be used for converting temperatures from Celsius to Fahrenheit is:
[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]
[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]
where:
- [tex]\( F \)[/tex] represents the temperature in Fahrenheit,
- [tex]\( C \)[/tex] represents the temperature in Celsius.
Let's analyze each of the equations provided in the question to identify the correct conversion formula:
1. [tex]\( F = C \left( \frac{9}{5} + 32 \right) \)[/tex]:
- This equation incorrectly adds 32 inside the multiplication with Celsius, which is not correct.
2. [tex]\( F = \frac{9}{5} + 32 C \)[/tex]:
- This equation incorrectly places 32 as a multiplier of Celsius, which is not accurate for the conversion process.
3. [tex]\( F = \frac{9}{5}(C+32) \)[/tex]:
- This equation mistakenly adds 32 to Celsius before multiplying by [tex]\(\frac{9}{5}\)[/tex]. This is not the correct order of operations for the conversion.
4. [tex]\( F = \frac{9}{5} C + 32 \)[/tex]:
- This is the correct formula. It first multiplies Celsius by [tex]\(\frac{9}{5}\)[/tex] and then adds 32, which is exactly what the conversion method requires.
Therefore, the equation that can be used for converting temperatures from Celsius to Fahrenheit is:
[tex]\[ F = \frac{9}{5} \times C + 32 \][/tex]
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