a lab needs 200ml of a 5 salt solution they only have a 10 solution how much 10 solution and water should be mixed
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HESI A2

HESI A2 Math Portion

1. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?

Correct answer: B

Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =

2. What word is best to substitute for the underlined words in the following sentence? The nurse left the room to look for the paperwork she had misplaced.

Correct answer: A

Rationale: The word 'her' is the best substitute for the underlined words 'the nurse' in the sentence. This substitution avoids redundancy and provides clarity by referring back to the nurse as a third-person singular pronoun, maintaining coherence and avoiding ambiguity. 'He' (choice B) and 'his' (choice C) are incorrect as they do not align with the gender of the nurse in the sentence. 'It' (choice D) is also incorrect as it does not refer appropriately to a person.

3. Which of the following structures is found in the upper respiratory system alongside the Pharynx?

Correct answer: A

Rationale: The correct answer is 'Larynx.' The larynx is indeed located in the upper respiratory system alongside the pharynx. Positioned below the pharynx and above the trachea, the larynx is crucial for breathing and sound production. The trachea and bronchi are part of the lower respiratory system and are situated below the larynx, making them incorrect choices in this context.

4. Which of the following words fits best in the following sentence? ___________ having finished her coursework, Lorene expects to spend another year on campus.

Correct answer: A

Rationale: The correct answer is 'Despite.' 'Despite' is the best word to use in the sentence because it shows a contrast between Lorene having finished her coursework and her expectation to spend another year on campus. The word 'Despite' signals that there is an unexpected or contrary situation, emphasizing the contradiction between the two parts of the sentence. 'Although' (choice B) introduces a contrast but is not as strong as 'Despite' in highlighting the contradiction. 'Thus' (choice C) and 'However' (choice D) do not convey the intended contrast needed in this context, making them incorrect choices.

5. What sentence should replace the following incorrect sentence? 'This door to remain unlocked during business hours.'

Correct answer: D

Rationale: The original sentence is incorrect due to awkward phrasing. Choice D, 'This door will remain unlocked when the business is open,' provides a clear and concise correction, specifying that the door should be unlocked only when the business is open. Choices A and B do not address the timing aspect of unlocking the door, making them incorrect. Choice C is incorrect as the original sentence needs a revision to clarify the intended meaning.

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