solve for x 120x4005
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HESI A2

HESI A2 Math Practice Test 2023

1. Solve for x: 120:x::40:0.5.

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

2. Amanda uses 100 N of force to push a lawnmower around her lawn. If she mows 20 rows measuring 30 meters each, how much work does she do?

Correct answer: C

Rationale: The work done by Amanda pushing the lawnmower is calculated by multiplying the force applied (100 N) by the distance over which the force is applied (the total distance mowed). Since Amanda mows 20 rows, each measuring 30 meters, the total distance mowed is 20 rows x 30 meters/row = 600 meters. Therefore, the work done is 100 N x 600 m = 60,000 N⋅m. Option A and B are incorrect as they do not account for the total distance mowed. Option D is incorrect as the work done can be accurately calculated based on the information provided.

3. Which numeric system was a base 20 system?

Correct answer: A

Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.

4. What is the relationship between the tilt of the Earth and seasons as explained in the passage on Daylight Savings Time?

Correct answer: B

Rationale: The correct answer is B: 'The tilt of the Earth creates seasons.' The passage explains that the tilt of the Earth causes the different seasons by changing the amount of sunlight different regions receive. This tilt results in varying angles at which sunlight reaches different parts of the Earth, leading to the seasonal changes in temperature and daylight hours. Choice A is incorrect because the passage clearly states that the tilt of the Earth does have an effect on the seasons. Choice C is incorrect because the tilt of the Earth remains relatively constant throughout the year. Choice D is incorrect as the tilt of the Earth is not random but follows a consistent pattern.

5. Which mineral helps maintain fluid balance in the body?

Correct answer: A

Rationale: Potassium is the mineral that helps maintain fluid balance in the body. It plays a crucial role in regulating the amount of fluid inside and outside the body's cells, thereby helping to maintain proper hydration levels. Potassium works in conjunction with sodium to regulate fluid balance and is essential for proper muscle function, nerve transmission, and heart health. Cobalt, chromium, and sulfur do not play significant roles in maintaining fluid balance in the body, making them incorrect choices for this question.

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