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Subtract 7 7/10 - 3 4/5 =
- A. 4 1/10
- B. 11 1/2
- C. 4 3/5
- D. 3 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, you need to convert them to improper fractions. So, 7 7/10 = 77/10 and 3 4/5 = 19/5. Subtracting these fractions, you get 77/10 - 19/5 = 77/10 - 38/10 = 39/10. Converting 39/10 back to a mixed number, you get 3 & 9/10, which is the correct answer.
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A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set of 6 miles in 1.5 hours, and the fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 5.4 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile course, you add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. Each set of 6 miles is a segment of the total 24-mile course. By adding the time taken for each segment, you can determine the total time taken to complete the entire course.
Convert to metric: 7 grams = x mg =
- A. 0.007 mg
- B. 7,000 mg
- C. 0.0007 mg
- D. 700 mg
Correct Answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in a gram. Therefore, 7 grams = 7 * 1,000 = 7,000 milligrams. The correct answer is 7,000 mg. Remember, when converting between grams and milligrams, the conversion factor is 1 gram = 1,000 milligrams. In this case, 7 grams multiplied by 1,000 gives you the correct answer of 7,000 milligrams.
In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?
- A. 85%
- B. 87.50%
- C. 90%
- D. 75%
Correct Answer: B
Rationale: To find the percentage of female students, first determine the number of female students by multiplying (7/8) by 89, resulting in 78 females. Then, to calculate the percentage, divide the number of female students (78) by the total number of students (89) and multiply by 100 to get 87.50%. Therefore, 87.50% of the students in the nursing school are female.
What is the result of the subtraction: 28.19 - 9 = ?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of 28.19 - 9, align the decimal points and subtract each place value accordingly. Subtracting 9 from 28.19 results in 19.19. In this calculation, when subtracting 9 from 19 in the tenths place, 1 remains in the tenths place. Subtracting 0 from 8 in the ones place gives 8. Therefore, the correct answer is 19.19. It's crucial to maintain the alignment of decimal points while performing arithmetic operations involving decimals to ensure accuracy.
Convert 3/5 to a decimal.
- A. 0.06
- B. 0.6
- C. 3.5
- D. 1.6
Correct Answer: B
Rationale: To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, 3 · 5 = 0.6. Therefore, the correct answer is B) 0.6.