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A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7lbs 10oz.
- B. 10lbs 7oz.
- C. 13lbs 3oz.
- D. 3lbs 13oz.
Correct Answer: A
Rationale: To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).
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Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
What is the result of adding 5 1/3 + 3 1/2?
- A. 8 1/6
- B. 8 2/3
- C. 8 5/6
- D. 9 1/6
Correct Answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.
What is the result of dividing 5 & 3/4 by 1/2, reduced to the simplest form?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Dividing 23/4 by 1/2 is equivalent to multiplying 23/4 by 2/1, resulting in 46/4. When simplified back to a mixed number, 46/4 is 11 & 1/2.
A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
5 ½ divided by 2 ½ =
- A. 2 3/4
- B. 2 1/5
- C. 2
- D. 2 1/2
Correct Answer: B
Rationale: Correct Answer: B (2 1/5)
Rationale: Convert mixed numbers to improper fractions: 5 ½ = 11/2, 2 ½ = 5/2. Perform division: (11/2) ÷ (5/2) = 11/2 x 2/5 = 22/10 = 2 2/10 = 2 1/5.
Summary:
A: Incorrect, as it is equivalent to 2 3/4.
C: Incorrect, as it is a whole number and doesn't represent the result of the division.
D: Incorrect, as it is the initial divisor, not the result of the division.