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Chapter 7: Problem 1060

If temperature of an object is \(140^{\circ} \mathrm{F}\) then its temperature in centigrade is (A) \(105^{\circ} \mathrm{C}\) (B) \(32^{\circ} \mathrm{C}\) (C) \(140^{\circ} \mathrm{C}\) (D) \(60^{\circ} \mathrm{C}\)

Short Answer

Expert verified
The correct answer is (D) \(60^{\circ} \mathrm{C}\), which is obtained by using the Fahrenheit to Celsius conversion formula \(C = (F - 32) × \frac{5}{9}\) and plugging in the given temperature of \(140^{\circ} \mathrm{F}\).

Step by step solution

01

Write down the given temperature in Fahrenheit

We are given the temperature of an object as \(140^{\circ} \mathrm{F}\).
02

Use the conversion formula to convert the temperature into Celsius

The formula for converting Fahrenheit to Celsius is: \[C = (F - 32) × \frac{5}{9}\] Now, plug in the given Fahrenheit temperature (F = 140) into the formula: \[C = (140 - 32) × \frac{5}{9}\]
03

Calculate the Celsius temperature

Perform the calculations inside the parentheses first, and then multiply by the fraction: \[C = (108) × \frac{5}{9}\] Divide 108 by 9: \[C = 12 × 5\] Now, multiply 12 by 5: \[C = 60\] Thus, the temperature in Celsius is \(60^{\circ} \mathrm{C}\). The correct answer is (D) \(60^{\circ} \mathrm{C}\).

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