The temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius. One day the high temp. was 95 degrees Fahrenheit. What was the high temp. in degrees celsius?
I did 32+(9/5*35)
32+63=95
so my answer is 35 degrees celcius, Is this correct?
Thanks for your help
How did you get the 35
Yes, that's correct.
To solve this problem correctly, let's go step by step:
First, let's set up the given equation:
Temperature in Fahrenheit = 32 + (9/5) × Temperature in Celsius
We are given that the temperature in Fahrenheit is 95 degrees. Plugging this value into the equation, we get:
95 = 32 + (9/5) × Temperature in Celsius
Next, let's isolate the term with the temperature in Celsius:
95 - 32 = (9/5) × Temperature in Celsius
63 = (9/5) × Temperature in Celsius
To find the temperature in Celsius, we need to isolate it. We can do this by dividing both sides of the equation by (9/5):
63 / (9/5) = Temperature in Celsius
To divide by a fraction, we can multiply by its reciprocal:
63 × (5/9) = Temperature in Celsius
The fraction (5/9) is the conversion factor from Fahrenheit to Celsius. Evaluating this expression:
Temperature in Celsius = (63 × 5) / 9
Temperature in Celsius ≈ 35 degrees
So, the high temperature in degrees Celsius is approximately 35 degrees. Therefore, your answer of 35 degrees Celsius is correct!