HESI A2
HESI A2 Quizlet Math
1. 81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
Correct answer: B
Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.
2. A woman received a bottle of perfume as a present. The bottle contains ½ oz of perfume. How many milliliters is this?
- A. 10 mL
- B. 15 mL
- C. 20 mL
- D. 25 mL
Correct answer: B
Rationale: To convert ounces to milliliters, we know that 1 ounce is approximately 30 mL. Therefore, 0.5 ounces would be half of that, which is 15 mL. So, 0.5 oz of perfume is equal to 15 mL. Choice A (10 mL), Choice C (20 mL), and Choice D (25 mL) are incorrect as they do not reflect the accurate conversion from ounces to milliliters.
3. What time is 6:30 A.M. in military time?
- A. 0630
- B. 6030
- C. 1503
- D. 1530
Correct answer: A
Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.
4. If a runner runs 5 miles in 45 minutes, what is their average speed in miles per hour?
- A. 6.67 mph
- B. 5 mph
- C. 7 mph
- D. 10 mph
Correct answer: A
Rationale: To find the average speed, first, convert 45 minutes to hours (45/60 = 0.75 hours). Then, divide the distance by the time: 5 miles ÷ 0.75 hours = 6.67 mph. Choice A is correct because it accurately calculates the average speed based on the distance covered and time taken. Choice B is incorrect as it does not consider the time taken to cover the distance. Choice C is incorrect as it is higher than the calculated speed. Choice D is incorrect as it is higher and does not match the calculated average speed.
5. 5\7 + 3\14 = ?
- A. 13\14
- B. 10/14
- C. 11/14
- D. 12/14
Correct answer: A
Rationale: To add fractions with different denominators, first find a common denominator. The least common denominator between 7 and 14 is 14. Convert 5/7 to 10/14: 5 / 7 = 10 / 14 5/7=10/14 Now add the two fractions: 10 / 14 + 3 / 14 = 13 / 14 10/14+3/14=13/14
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