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1 October, 20:44

At what temperature (degrees fahrenheit) is the fahrenheit scale reading equal to (a) 6 times that of the celsius and (b) 1/5 times that of the celsius?

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  1. 1 October, 21:12
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    The relationship between temperature in degrees Fahrenheit, F, and degrees Celsius, C, is

    F = 1.8C + 32

    Part a.

    If F = 6C, then

    6C = 1.8C + 32

    6C - 1.8C = 32

    4.2C = 32

    C = 7.62

    Therefore, F = 6*7.62 = 45.71

    Answer: 45.7 °F (nearest tenth)

    Part b.

    When F = (1/5) C, then

    0.2C = 1.8C + 32

    0.2C - 1.8C = 32

    -1.6C = 32

    C = - 20

    Therefore, F = 0.2*-20 = - 4

    Answer: - 4 °F
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