If $F=\frac{9}{5} C+32$, What Is $C$?a) $C=\frac{5}{9} F-32$ B) $ C = 5 9 F + 32 C=\frac{5}{9} F+32 C = 9 5 ​ F + 32 [/tex] C) $C=\frac{9}{5} F-32$ D) $C=\frac{5}{9}(F-32)$ E)

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Solving for Temperature: Unraveling the Mystery of the Fahrenheit to Celsius Conversion Formula

Temperature conversion is a fundamental concept in mathematics and science, and one of the most common conversions is from Fahrenheit to Celsius. The formula for converting Fahrenheit to Celsius is given by $F=\frac{9}{5} C+32$, where FF is the temperature in Fahrenheit and CC is the temperature in Celsius. However, in this article, we will be solving for CC in terms of FF. This is a crucial step in understanding the relationship between the two temperature scales and is essential for making accurate temperature conversions.

The formula $F=\frac{9}{5} C+32$ is a linear equation, where FF is the dependent variable and CC is the independent variable. To solve for CC, we need to isolate CC on one side of the equation. This can be done by subtracting 3232 from both sides of the equation and then multiplying both sides by the reciprocal of 95\frac{9}{5}.

Step 1: Subtract 32 from Both Sides

The first step in solving for CC is to subtract 3232 from both sides of the equation. This will give us $F-32=\frac{9}{5} C$.

Step 2: Multiply Both Sides by the Reciprocal of 95\frac{9}{5}

To isolate CC, we need to multiply both sides of the equation by the reciprocal of 95\frac{9}{5}. The reciprocal of 95\frac{9}{5} is 59\frac{5}{9}, so we multiply both sides by 59\frac{5}{9}. This gives us $\frac{5}{9}(F-32)=C$.

Simplifying the Equation

The equation $\frac{5}{9}(F-32)=C$ can be simplified by distributing the 59\frac{5}{9} to both terms inside the parentheses. This gives us $\frac{5}{9}F-\frac{160}{9}=C$.

In conclusion, to solve for CC in the formula $F=\frac{9}{5} C+32$, we need to subtract 3232 from both sides of the equation and then multiply both sides by the reciprocal of 95\frac{9}{5}. This gives us the equation $C=\frac{5}{9} F-\frac{160}{9}$. Therefore, the correct answer is:

  • a) C=59F−32C=\frac{5}{9} F-32

This answer is the only one that matches the correct solution. The other options are incorrect and do not accurately represent the solution to the equation.

The solution to this problem is a fundamental concept in mathematics and science, and it is essential for making accurate temperature conversions. The formula $F=\frac{9}{5} C+32$ is a linear equation, and solving for CC involves isolating CC on one side of the equation. This can be done by subtracting 3232 from both sides of the equation and then multiplying both sides by the reciprocal of 95\frac{9}{5}.

The solution to this problem has many real-world applications. For example, in cooking, it is essential to know the temperature of a dish in both Fahrenheit and Celsius. This is because many recipes are written in terms of Celsius, and it is crucial to know the temperature of the dish in order to ensure that it is cooked to the correct temperature.

In conclusion, solving for CC in the formula $F=\frac{9}{5} C+32$ is a crucial step in understanding the relationship between the two temperature scales. The solution to this problem is a fundamental concept in mathematics and science, and it is essential for making accurate temperature conversions. The correct answer is:

  • a) C=59F−32C=\frac{5}{9} F-32

This answer is the only one that matches the correct solution. The other options are incorrect and do not accurately represent the solution to the equation.

Temperature conversion is a fundamental concept in mathematics and science, and it is essential to understand the relationship between the two temperature scales: Fahrenheit and Celsius. In our previous article, we discussed how to solve for CC in the formula $F=\frac{9}{5} C+32$. In this article, we will provide a comprehensive Q&A guide to help you understand temperature conversion and its applications.

Q: What is the formula for converting Fahrenheit to Celsius?

A: The formula for converting Fahrenheit to Celsius is $F=\frac{9}{5} C+32$.

Q: How do I solve for CC in the formula?

A: To solve for CC, you need to subtract 3232 from both sides of the equation and then multiply both sides by the reciprocal of 95\frac{9}{5}. This gives you the equation $C=\frac{5}{9} F-32$.

Q: What is the correct answer for solving for CC?

A: The correct answer is:

  • a) C=59F−32C=\frac{5}{9} F-32

Q: What are the real-world applications of temperature conversion?

A: Temperature conversion has many real-world applications, including:

  • Cooking: It is essential to know the temperature of a dish in both Fahrenheit and Celsius to ensure that it is cooked to the correct temperature.
  • Science: Temperature conversion is crucial in scientific experiments, where accurate temperature measurements are necessary.
  • Travel: When traveling to countries with different temperature scales, it is essential to know how to convert between Fahrenheit and Celsius.

Q: How do I convert Celsius to Fahrenheit?

A: To convert Celsius to Fahrenheit, you can use the formula $F=C\times\frac{9}{5}+32$.

Q: What is the difference between Fahrenheit and Celsius?

A: The main difference between Fahrenheit and Celsius is the way they measure temperature. Fahrenheit is based on the freezing and boiling points of water, while Celsius is based on the freezing point of water.

Q: Why is it essential to understand temperature conversion?

A: Understanding temperature conversion is essential because it allows you to accurately measure and compare temperatures in different units. This is crucial in various fields, including science, cooking, and travel.

Q: Can I use a calculator to convert between Fahrenheit and Celsius?

A: Yes, you can use a calculator to convert between Fahrenheit and Celsius. Most calculators have a built-in temperature conversion function that allows you to easily convert between the two units.

In conclusion, temperature conversion is a fundamental concept in mathematics and science, and it is essential to understand the relationship between the two temperature scales: Fahrenheit and Celsius. By following the formula and using the correct answer, you can accurately convert between the two units. We hope this Q&A guide has helped you understand temperature conversion and its applications.