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30 July, 03:59

An astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. How much would a person weigh on the moon if they weigh 95 kilograms on Earth?

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  1. 30 July, 06:32
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    Weight on the moon=x=15.87 kilograms

    Step-by-step explanation:

    This can be expressed as;

    Weight on earth=Constant*Weight on moon

    where;

    Weight on moon=14.2 kilograms

    Constant=k

    Weight on Earth=85 kilograms

    Replacing in the expression above;

    85=14.2*k

    k = (85/14.2) = 5.986

    If the person weighs 95 kilograms on Earth;

    Weight on the earth=Constant*Weight on moon

    where;

    Weight on the moon=x

    Constant=5.986

    Weight on the earth=95 kilograms

    Replacing;

    95=5.986*x

    x=95/5.986=15.87

    Weight on the moon=x=15.87 kilograms
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