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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it?
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In countries like USA and Canada, temperature is measured in Fahrenhei...
At -40C the temperature is same on both Fahrenheit scale and Celcius scale.
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In countries like USA and Canada, temperature is measured in Fahrenhei...
Introduction:
In countries like the USA and Canada, temperature is measured in Fahrenheit (°F), while in countries like India, it is measured in Celsius (°C). The linear equation that converts Fahrenheit to Celsius is given as F = (9/5)C + 32. We need to determine if there is a temperature that is numerically the same in both Fahrenheit and Celsius and find it if it exists.
Analysis:
To find a temperature that is the same in both Fahrenheit and Celsius, we need to equate the two temperature scales and solve for the common value.
Conversion Equations:
The given linear equation for converting Fahrenheit (F) to Celsius (C) is:
F = (9/5)C + 32
The conversion equation for Celsius (C) to Fahrenheit (F) is the inverse of the above equation:
C = (5/9)(F - 32)
Equate the Two Equations:
To find the temperature that is the same in both Fahrenheit and Celsius, we'll equate the two conversion equations and solve for the common value.
(9/5)C + 32 = (5/9)(F - 32)
Simplify the Equation:
Let's simplify the equation by removing the fractions.
(9/5)C + 32 = (5/9)F - (5/9)*32
After simplifying, we get:
(9/5)C = (5/9)F - 160/9
Multiply both sides by 5/9 to eliminate the fractions:
(9/5)*(5/9)C = (5/9)*(5/9)F - (5/9)*(160/9)
Canceling out the common factors, we get:
C = F - (800/9)
Find the Common Temperature:
From the equation above, we can see that the common temperature value exists when C is equal to F - (800/9). Therefore, we need to find the temperature value that satisfies this equation.
Conclusion:
By equating the conversion equations for Fahrenheit and Celsius and solving for the common temperature value, we find that the temperature at which Fahrenheit and Celsius are numerically the same is given by C = F - (800/9). This common temperature value can be calculated by substituting the temperature in either Fahrenheit or Celsius into the equation.
In countries like the USA and Canada, temperature is measured in Fahrenheit (°F), while in countries like India, it is measured in Celsius (°C). The linear equation that converts Fahrenheit to Celsius is given as F = (9/5)C + 32. We need to determine if there is a temperature that is numerically the same in both Fahrenheit and Celsius and find it if it exists.
Analysis:
To find a temperature that is the same in both Fahrenheit and Celsius, we need to equate the two temperature scales and solve for the common value.
Conversion Equations:
The given linear equation for converting Fahrenheit (F) to Celsius (C) is:
F = (9/5)C + 32
The conversion equation for Celsius (C) to Fahrenheit (F) is the inverse of the above equation:
C = (5/9)(F - 32)
Equate the Two Equations:
To find the temperature that is the same in both Fahrenheit and Celsius, we'll equate the two conversion equations and solve for the common value.
(9/5)C + 32 = (5/9)(F - 32)
Simplify the Equation:
Let's simplify the equation by removing the fractions.
(9/5)C + 32 = (5/9)F - (5/9)*32
After simplifying, we get:
(9/5)C = (5/9)F - 160/9
Multiply both sides by 5/9 to eliminate the fractions:
(9/5)*(5/9)C = (5/9)*(5/9)F - (5/9)*(160/9)
Canceling out the common factors, we get:
C = F - (800/9)
Find the Common Temperature:
From the equation above, we can see that the common temperature value exists when C is equal to F - (800/9). Therefore, we need to find the temperature value that satisfies this equation.
Conclusion:
By equating the conversion equations for Fahrenheit and Celsius and solving for the common temperature value, we find that the temperature at which Fahrenheit and Celsius are numerically the same is given by C = F - (800/9). This common temperature value can be calculated by substituting the temperature in either Fahrenheit or Celsius into the equation.
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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it?
Question Description
In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it?.
In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it?.
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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it?, a detailed solution for In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? has been provided alongside types of In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in celsics. Here is a linear equation that converts Fahrenheit to Celsius. F=(9/5)C+32. Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it? theory, EduRev gives you an
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