Math Problem Statement

The formula Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis expresses the relationship between Fahrenheit​ temperature, F, and Celsius​ temperature, C. Use the formula to convert 23 degrees Upper F to its equivalent temperature on the Celsius scale. Question content area bottom Part 1 23 degrees Upper F ​= nothing degrees Upper C   

Solution

The formula to convert Fahrenheit (FF) to Celsius (CC) is:

C=59(F32)C = \frac{5}{9} (F - 32)

Now, let's substitute F=23F = 23 into the formula:

C=59(2332)=59(9)C = \frac{5}{9} (23 - 32) = \frac{5}{9} (-9)

Simplifying:

C=5×(9)9=459=5CC = \frac{5 \times (-9)}{9} = \frac{-45}{9} = -5^\circ C

So, 23F23^\circ F is equivalent to 5C-5^\circ C.

Would you like more details, or have any questions?

Here are some related questions:

  1. What is the Celsius temperature for 50°F?
  2. How would you convert 100C100^\circ C to Fahrenheit?
  3. What is the freezing point of water in both Celsius and Fahrenheit?
  4. How does the Celsius and Fahrenheit scale differ mathematically?
  5. Can you explain the derivation of the Fahrenheit to Celsius conversion formula?

Tip: Always subtract 32 from Fahrenheit first before applying the 59\frac{5}{9} ratio.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Temperature Conversion

Formulas

C = (5/9) * (F - 32)

Theorems

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Suitable Grade Level

Grades 6-8