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Shelley's cup of tea cooled down 
(1)/(2) of a degree in 10 seconds. At what rate is her tea cooling down?
Simplify your answer and write it as a proper fraction, mixed number, or whole number. degrees per second

Shelley's cup of tea cooled down 12\frac{1}{2} of a degree in 1010 seconds. At what rate is her tea cooling down?\newlineSimplify your answer and write it as a proper fraction, mixed number, or whole number. _______degrees per second

Full solution

Q. Shelley's cup of tea cooled down 12\frac{1}{2} of a degree in 1010 seconds. At what rate is her tea cooling down?\newlineSimplify your answer and write it as a proper fraction, mixed number, or whole number. _______degrees per second
  1. Given Information: We have:\newlineTemperature decrease = 12\frac{1}{2} degree\newlineTime = 1010 seconds\newlineWhich formula should we use to calculate the rate of cooling?\newlineRate of cooling = Temperature decrease ÷\div Time
  2. Formula for Rate of Cooling: We have:\newlineTemperature decrease = 12\frac{1}{2} degree\newlineTime = 1010 seconds\newlineWhich expression should we use to calculate the rate of cooling?\newlineRate of cooling = Temperature decrease ÷\div Time\newlineRate of cooling = (12)÷10(\frac{1}{2}) \div 10
  3. Expression for Rate of Cooling: Simplify (12)÷10(\frac{1}{2}) \div 10.\newline(12)÷10=(12)×(110)=1(2×10)=120(\frac{1}{2}) \div 10 = (\frac{1}{2}) \times (\frac{1}{10}) = \frac{1}{(2\times10)} = \frac{1}{20}\newlineThe rate at which Shelley's cup of tea is cooling down is 120\frac{1}{20} of a degree per second.

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