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What is the temperature in Celsius when it is 98.6 degrees Fahrenheit?
- A. 35 Celsius
- B. 37 Celsius
- C. 38 Celsius
- D. 36.5 Celsius
Correct Answer: B
Rationale: To convert 98.6 degrees Fahrenheit to Celsius, you can use the formula (98.6 - 32) 5/9. By solving this equation, the temperature is calculated to be 37°C. Therefore, the correct answer is B, 37 Celsius. Choice A, 35 Celsius, is incorrect because it is not the outcome of the conversion formula. Choice C, 38 Celsius, is incorrect as well, as it does not match the correct conversion result. Choice D, 36.5 Celsius, is also incorrect as it does not correspond to the accurate conversion from 98.6 degrees Fahrenheit.
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Multiply: 4/9 1 4/5 2/5.
- A. 8/25
- B. 1 & 10/19
- C. 7/16
- D. 32/45
Correct Answer: A
Rationale: To multiply the fractions, convert the mixed numbers to improper fractions: 1 4/5 = 9/5. Then, multiply the fractions: (4/9) (9/5) (2/5) = 8/25. The correct answer is A. Choice B is incorrect as it does not match the result of the multiplication. Choice C is incorrect as it is not the result of multiplying the fractions. Choice D is incorrect as it is not the result of the given multiplication.
A train travels at 65 mph for 1.5 hours. How far did it travel?
- A. 97.5 miles
- B. 95 miles
- C. 100 miles
- D. 100.5 miles
Correct Answer: A
Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.
Change 0.015 to a fraction.
- A. 3/200
- B. 3/2000
- C. 15/1000
- D. 3/100
Correct Answer: A
Rationale: To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200. Therefore, the correct answer is A. Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000. Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200. Choice D (3/100) is incorrect as it does not represent the decimal 0.015.
If the quotient is 4 and the dividend is 12, what is the divisor?
- A. 3
- B. 6
- C. 4
- D. 9
Correct Answer: C
Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.
If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?
- A. 107.5
- B. 106.4
- C. 105.6
- D. 109.3
Correct Answer: B
Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 · 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.