95 degrees Fahrenheit is equal to how many degrees Celsius? (using the formula F = 32 + 9/5C)
The Correct Answer and Explanation is:
To convert 95 degrees Fahrenheit to Celsius using the formula: F=32+95CF = 32 + \frac{9}{5}C
We solve for CC (Celsius):
Step-by-step calculation:
95=32+95C95 = 32 + \frac{9}{5}C
Subtract 32 from both sides: 95−32=95C95 – 32 = \frac{9}{5}C 63=95C63 = \frac{9}{5}C
Multiply both sides by 59\frac{5}{9}: C=59×63C = \frac{5}{9} \times 63 C=35C = 35
Answer:
95°F is equal to 35°C.
Explanation
Temperature conversion between Fahrenheit and Celsius is important in many scientific, educational, and everyday contexts. The Fahrenheit (°F) and Celsius (°C) scales differ not only in units but also in their reference points. Water freezes at 32°F and boils at 212°F on the Fahrenheit scale. On the Celsius scale, water freezes at 0°C and boils at 100°C. These differences are why a formula is needed to convert between them.
The formula used for conversion from Celsius to Fahrenheit is: F=32+95CF = 32 + \frac{9}{5}C
This shows that to convert Celsius to Fahrenheit, you multiply the Celsius temperature by 9/5 and then add 32. To reverse the process (convert Fahrenheit to Celsius), you rearrange the formula to solve for CC: C=59(F−32)C = \frac{5}{9}(F – 32)
Applying this to 95°F: C=59(95−32)=59×63=35°CC = \frac{5}{9}(95 – 32) = \frac{5}{9} \times 63 = 35°C
Understanding this conversion helps when reading weather forecasts, cooking with recipes from different countries, or working in scientific fields where Celsius is the standard.
This mathematical relationship also reflects the linear nature of the two temperature scales. The 9/5 factor represents the ratio of the temperature intervals: each degree Celsius is equivalent to 1.8 degrees Fahrenheit. The addition or subtraction of 32 adjusts for the offset between the zero points of the two scales. Thus, temperature conversion is not just a practical skill, but also a good example of how linear equations model real-world relationships.
