Question

Suppose you design a new thermometer called the X thermometer. On the X scale the boiling point of water is 130 degrees X and the freezing point of water is 10 degrees X. At what temperature are the readings on the Fahrenheit and X thermometer the same? please explain formulas.

Answer 1

Answer:

-34 degrees

Explanation:

The difference between to Fahrenheit boiling point and freezing points is 212-32 180 F

For the x scale 130 - 10 = 120 X

Therefore,

180F -120 X

180 F-X 120

1SF-X

Now, we need to set the point of the X scale.

We know that 10 X=32 F (the freezing point of water is the same on both)

Therefore,

10 (1.5 F) - 15 F

To correct for this, we have to add 17 F to the temperature to obtain 32 F

Therefore, the final relation is:

Temperature (in F) = 1.5 x (temperature in X) +17

Temperature (in F) = 1.5 x 130) + 17

Temperature (in F) = 212F

5o, the boiling points match up too.

Now, we have to the point where both scales are equal.

therefore,

F=1.5xF+17

-0.5xF 17

F=17/0.5

F= -34 degrees

HOPE IT HELPS YOU…

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