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Alecsey [184]
3 years ago
5

A scientist is cooling a liquid at a steady rate. The temperature of the liquid changed by −82 1/2 °C over 2 1/5 minutes. What w

as the temperature change after 1 minute?
Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer: 37.5^{\circ}  or  37\dfrac{1}{2}^{\circ}

Step-by-step explanation:

Given : The temperature of the liquid changed by -82\dfrac{1}{2}^{\circ}C over 2\dfrac{1}{5} minutes.

We can write [tex]82\dfrac{1}{2}=\dfrac{82\times2+1}{2}=\dfrac{165}{2}

2\dfrac{1}{5}=\dfrac{11}{5}

Now, the statement becomes ,

The temperature of the liquid changed by -\dfrac{165}{2}^{\circ}C over \dfrac{11}{5} minutes.

i.e. temperature changed in \dfrac{11}{5} minutes =  -\dfrac{165}{2}^{\circ}C

Now, by Unitary method,

The temperature changed in 1 minute =   \dfrac{165}{2}\times\dfrac{5}{11}^{\circ}C

⇒ The temperature changed in 1 minute = 37.5^{\circ} or  37\dfrac{1}{2}^{\circ}

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