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in Linear Inequations by (27.2k points)
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A solution is to be kept between 30°C and 35°C. What is the range of temperature in degree Fahrenheit?

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Best answer

We have been given that, 

A solution is kept between 30°C and 35°C. 

Let C1 = 30°C 

And let C2 = 35°C 

The conversion formula is given by,

F = \(\frac{9}{5}\)C + 32

We need to convert degree Celsius to degree Fahrenheit. 

So,

Take C1 = 30°C 

Using the formula, we have

F1\(\frac{9}{5}\)C1 + 32

⇒ F\(\frac{9}{5}\)(30) + 32

⇒ F1 = 9 × 6 + 32

⇒ F1 = 54 + 32 

⇒ F1 = 86° F 

Now,

Take C2 = 35°C 

Using the formula, we have

F2\(\frac{9}{5}\)C2 + 32

⇒ F\(\frac{9}{5}\)(35) + 32

⇒ F2 = 9 × 7 + 32 

⇒ F2 = 63 + 32 

⇒ F2 = 95° F 

Therefore, 

The range of temperature of the solution in degree Fahrenheit is 86° F and 95° F.

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