The X thermometer is designed by setting the temperature of melting ice on the -25^circ X temperature scale and the temperature of boiling water on the 125^circ X scale. If the Celsius thermometer shows a temperature scale of 60^circ then thermometer X points to a temperature : scale of __ a 65^circ X b. 85^circ X 75^circ X d. 95^circ X

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The X thermometer is designed by setting the temperature of melting ice on the -25^circ X temperature scale and the temperature of boiling water on the 125^circ X scale. If the Celsius thermometer shows a temperature scale of 60^circ then thermometer X points to a temperature : scale of __ a 65^circ X b. 85^circ X 75^circ X d. 95^circ X

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Answer 1

Here's how to solve this problem:

1. Understand the Relationship

The X thermometer has a range of 150 degrees (125 - (-25) = 150) between the freezing point of water and the boiling point. The Celsius scale has a range of 100 degrees (100 - 0 = 100) between the same points.

2. Set up a Proportion

We can set up a proportion to find the corresponding temperature on the X scale:

* (X temperature - (-25)) / 150 = (Celsius temperature - 0) / 100

3. Solve for X Temperature

* Substitute the given Celsius temperature (60 degrees):
(X temperature + 25) / 150 = 60 / 100
* Simplify: (X temperature + 25) / 150 = 3/5
* Cross-multiply: 5(X temperature + 25) = 450
* Expand: 5X temperature + 125 = 450
* Subtract 125 from both sides: 5X temperature = 325
* Divide both sides by 5: X temperature = 65

Answer:

The thermometer X points to a temperature of 65°X. So the correct answer is (a).

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