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The formula for conversion between Fahre...

The formula for conversion between Fahrenheit and Celsius is
`""^@F=X+(1.8xx^@C)`
What is factor X ?

A

32

B

22

C

98

D

42

Text Solution

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The correct Answer is:
To find the factor \( X \) in the formula for conversion between Fahrenheit and Celsius, we start with the known relationship between the two temperature scales. The formula is given as: \[ F = X + 1.8 \times C \] where \( F \) is the temperature in Fahrenheit and \( C \) is the temperature in Celsius. ### Step-by-Step Solution: 1. **Understand the relationship between Celsius and Fahrenheit**: The standard formula for converting Celsius to Fahrenheit is: \[ F = \frac{9}{5}C + 32 \] 2. **Rewrite the standard formula**: We can express this in a form that matches the given formula: \[ F = 1.8C + 32 \] Here, \( 1.8 \) is the conversion factor from Celsius to Fahrenheit. 3. **Identify the components in the given formula**: The given formula is: \[ F = X + 1.8C \] By comparing this with the rewritten standard formula \( F = 1.8C + 32 \), we can see that both expressions are equal. 4. **Set the equations equal to each other**: From the comparison, we can equate the constant terms: \[ X = 32 \] 5. **Conclusion**: Therefore, the factor \( X \) is: \[ \boxed{32} \]

To find the factor \( X \) in the formula for conversion between Fahrenheit and Celsius, we start with the known relationship between the two temperature scales. The formula is given as: \[ F = X + 1.8 \times C \] where \( F \) is the temperature in Fahrenheit and \( C \) is the temperature in Celsius. ...
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