Nursing Elites

1. Melissa is ordering fencing to enclose a square area of 5625 square feet. How many feet of fencing does she need?

• A. 75 feet
• B. 150 feet
• C. 300 feet
• D. 5,625 feet

Correct answer: C

Rationale: To find the side length of the square, we take the square root of the area: √5625 ft² = 75 ft. The perimeter of a square is 4 times its side length, so the fencing needed is 4 × 75 ft = 300 ft. Therefore, Melissa needs 300 feet of fencing to enclose the square area of 5625 square feet. Option A (75 feet) is the side length of the square, not the fencing needed. Option B (150 feet) is half of the correct answer and does not account for all sides of the square. Option D (5,625 feet) is the total area, not the length of fencing required.

2. What is the value of the sum of 3/4 and 5/8?

• A. 1 3/8
• B. 1 1/2
• C. 1 7/8
• D. 1 5/8

Correct answer: D

Rationale: To find the sum of fractions, they need to have a common denominator. In this case, the common denominator is 8. So, 3/4 = 6/8. Adding 6/8 and 5/8 gives 11/8, which simplifies to 1 3/8. Therefore, the correct answer is 1 3/8, which corresponds to choice A. Choices B, C, and D are incorrect as they do not represent the correct sum of 3/4 and 5/8.

3. Which of the following is the y-intercept of the line whose equation is 7y − 42x + 7 = 0?

• A. (1/6, 0)
• B. (6, 0)
• C. (0, −1)
• D. (−1, 0)

Correct answer: C

Rationale: To find the y-intercept, set x = 0 in the equation 7y − 42x + 7 = 0. This simplifies to 7y - 42(0) + 7 = 0, which gives 7y = -7. Solving for y, we get y = -1. Therefore, the y-intercept is where x = 0, so the correct answer is (0, -1). Choice A (1/6, 0) is incorrect as it does not satisfy the given equation when x = 0. Choice B (6, 0) is incorrect as it represents the x-intercept. Choice D (-1, 0) is incorrect as it does not correspond to the y-intercept of the given equation.

4. There are 20 mg of acetaminophen in concentrated infant drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive?

• A. 0.8 mL
• B. 1.6 mL
• C. 2.4 mL
• D. 3.2 mL

Correct answer: C

Rationale: To find the correct dosage in milliliters, divide the total required dosage in milligrams (240 mg) by the concentration of the medication in milligrams per milliliter (20 mg/mL). This calculation yields 12 mL, which is the recommended volume for the child. Choice A, 0.8 mL, is incorrect as it does not correspond to the correct dosage. Choice B, 1.6 mL, is incorrect because it also does not match the calculated dosage. Choice D, 3.2 mL, is incorrect as it is not the accurate result of the dosage calculation. Therefore, the correct answer is C, 2.4 mL.

5. If , then

• A. 1
• B. 2
• C. 3
• D. 4

Correct answer: C

Rationale: If \(2x = 6\), then solving for \(x\), we have \(x = \frac{6}{2} = 3\). So, if \(x = 3\), then \(x+1 = 3+1 = 4\). Therefore, the value of \(x+1\) would be 4.

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