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The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure in degrees Celsius: F=(9)/(5)C+32 Rearrange the formula to highlight the measure in degrees Celsius. C=

The following formula gives the temperature's measure in degrees Fahrenheit F F , where C C is the measure in degrees Celsius:\newlineF=95C+32 F=\frac{9}{5} C+32 \newlineRearrange the formula to highlight the measure in degrees Celsius.\newlineC= C=

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Q. The following formula gives the temperature's measure in degrees Fahrenheit F F , where C C is the measure in degrees Celsius:\newlineF=95C+32 F=\frac{9}{5} C+32 \newlineRearrange the formula to highlight the measure in degrees Celsius.\newlineC= C=
  1. Rephrasing the problem: First, let's rephrase the ＂How can the formula for converting Fahrenheit to Celsius be rearranged to solve for CC, the temperature in degrees Celsius?＂
  2. Subtracting 3232 from both sides: The original formula is F=(95)C+32F = \left(\frac{9}{5}\right)C + 32. To solve for CC, we need to isolate CC on one side of the equation. The first step is to subtract 3232 from both sides of the equation to get rid of the constant term on the right side.\newlineSo, we perform the subtraction: F−32=(95)C+32−32F - 32 = \left(\frac{9}{5}\right)C + 32 - 32.
  3. Equation after subtraction: After subtracting 3232 from both sides, the equation becomes F−32=(95)CF - 32 = \left(\frac{9}{5}\right)C.
  4. Eliminating the fraction: Next, we need to eliminate the fraction (95)(\frac{9}{5}) that is multiplying CC. To do this, we multiply both sides of the equation by the reciprocal of (95)(\frac{9}{5}), which is (59)(\frac{5}{9}).\newlineSo, we perform the multiplication: (59)(F−32)=(59)(95)C(\frac{5}{9})(F - 32) = (\frac{5}{9})(\frac{9}{5})C.
  5. Multiplying by the reciprocal: Multiplying (59)(\frac{5}{9}) by (95)(\frac{9}{5}) on the right side of the equation simplifies to 11, leaving us with CC on the right side.\newlineThe equation now becomes (59)(F−32)=C(\frac{5}{9})(F - 32) = C.
  6. Final rearranged formula: We have successfully isolated CC, and the rearranged formula is C=(59)(F−32)C = \left(\frac{5}{9}\right)(F - 32).

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