HESI A2
HESI A2 Quizlet Math
1. What is the result of adding 7 2/3 and 5 5/12?
- A. 11 1/12
- B. 12 1/4
- C. 13 1/12
- D. 14 1/6
Correct answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 7 2/3 = 23/3 and 5 5/12 = 65/12. Adding them results in 233/12. Converting this improper fraction back to a mixed number gives 19 5/12, which simplifies to 13 1/12. Therefore, the correct answer is 13 1/12.\nChoice A (11 1/12) is incorrect as it does not represent the correct sum of the given mixed numbers. Choice B (12 1/4) is incorrect as it is not the result of adding 7 2/3 and 5 5/12. Choice D (14 1/6) is incorrect as it is not the correct sum of the provided mixed numbers.
2. Convert 7/8 to a decimal.
- A. 0.8
- B. 0.8
- C. 0.875
- D. 0.9
Correct answer: C
Rationale: To convert the fraction 7/8 to a decimal, you divide the numerator (7) by the denominator (8): 7 ÷ 8 = 0.875. Therefore, the correct decimal representation of the fraction 7/8 is 0.875. Choice A and B, which are both 0.8, are incorrect as they represent 4/5 and not 7/8. Choice D, 0.9, is also incorrect as it represents 9/10 and not 7/8.
3. A bottle of hand sanitizer contains 70% alcohol. If 5ml of sanitizer are used, how much pure alcohol is present?
- A. 1.4ml
- B. 2.1ml
- C. 2.8ml
- D. 3.5ml
Correct answer: B
Rationale: Rationale: - If the hand sanitizer contains 70% alcohol, it means that 70% of the 5ml used is pure alcohol. - To find the amount of pure alcohol present, we calculate 70% of 5ml: 0.7 * 5ml = 3.5ml. - Therefore, when 5ml of sanitizer are used, there are 3.5ml of pure alcohol present.
4. How many cakes do you need for a class of 70 students and 3 staff members if each cake provides 24 servings?
- A. 4
- B. 2
- C. 5
- D. 3
Correct answer: A
Rationale: To determine the number of cakes needed, calculate the total number of people, which is 70 students + 3 staff = 73 people. Since each cake serves 24 people, divide the total number of people by 24 to get approximately 3.04. You cannot have a fraction of a cake, so round up to the next whole number, which is 4. Therefore, you need 4 cakes to serve the class of 70 students and 3 staff members. Choice B (2) is incorrect because 2 cakes would not be enough to serve 73 people. Choice C (5) is incorrect as it would be an excess of cakes. Choice D (3) is incorrect because 3 cakes would not be sufficient to serve 73 people.
5. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
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 =
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