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Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
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If a caregiver changes their baby 6 times a day, how many diapers will be needed in a year?
- A. 2160 diapers
- B. 2100 diapers
- C. 2190 diapers
- D. 6000 diapers
Correct Answer: C
Rationale: To determine the total number of diapers needed in a year, multiply the number of diaper changes per day (6) by the number of days in a year. Therefore, 6 diaper changes per day * 365 days per year = 2190 diapers. Hence, 2190 diapers will be needed in a year to keep up with the 6 diaper changes per day.
What is the result of adding 2/3 + 1/6 + 2/5?
- A. 1/3
- B. 2/5
- C. 1 & 7/30
- D. 1 & 1/15
Correct Answer: C
Rationale: To add fractions with different denominators, you first need to find a common denominator. In this case, the least common multiple of 3, 6, and 5 is 30. Next, convert each fraction to have a denominator of 30: 2/3 = 20/30, 1/6 = 5/30, and 2/5 = 12/30. Now, add the fractions: 20/30 + 5/30 + 12/30 = 37/30. This is equivalent to 1 & 7/30 when expressed as a mixed number. Therefore, the correct answer is 1 & 7/30.
A patient receives a 15% discount for a visit to the healthcare provider. The total charge for the medical services today is $532.00. How much will the patient pay in full today?
- A. $452.20
- B. $79.80
- C. $80.80
- D. $475.97
Correct Answer: A
Rationale: Correct Answer: A ($452.20)
Rationale: To calculate the amount the patient will pay after a 15% discount, you first find 15% of $532.00, which is $79.80. Then, subtract this discount from the total charge: $532.00 - $79.80 = $452.20. Therefore, the patient will pay $452.20 in full today.
Summary:
- Choice B ($79.80) is the amount of the 15% discount, not the total payment.
- Choice C ($80.80) is close to the discount amount but does not consider the subtraction.
- Choice D ($475.97) is incorrect as it does not reflect the correct calculation after the discount.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Ratio and Proportion: 3: X = 5: 800. What is X? (Enter numeric value only.)
- A. 43.64
- B. 50
- C. 48.5
- D. 60
Correct Answer: A
Rationale: To find the value of X in the given ratio, set up the proportion: (3/X) = (5/800). Cross-multiply to solve for X: 3 — 800 = 5X. This simplifies to 2400 = 5X. Dividing both sides by 5 gives X = 2400/5 = 480. Therefore, the correct answer is A) 43.64.