at what temperature on the fahrenheit scale will the temperature on a centigrade scale be three times that on a fahrenheit scale?
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Explanation:
The answer: 26.667 degrees Celsius (or 80 degrees Fahrenheit).
Step 1: We know F = 1.8C + 32
Step 2: If F is 3 times C, then F = 3C
Step 3: That means we can cut out F, so we're left with 1.8C + 32 = 3C
Step 4: Now we can do simple algebra. Subtract 1.8C from both sides, so 32 = 1.2C. Divide both sides by 1.2, so C = 26.667.
Plug it in the check: If you plug C = 26.667 into the equation F = 1.8C + 32, F = 80. 80 = 3*26.667, so the degrees in Fahrenheit is 3 times the degrees in Celsius.
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