HESI A2
HESI A2 Quizlet Math
1. How many meters are in 5 kilometers?
- A. 1000
- B. 5000
- C. 10000
- D. 500
Correct answer: B
Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.
2. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?
- A. 20 minutes
- B. 32 minutes
- C. 40 minutes
- D. 60 minutes
Correct answer: B
Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.
3. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
4. If a helicopter flies at about 80 mph, how long will it take to travel 140 miles?
- A. 1 hour 15 minutes
- B. 1 hour 20 minutes
- C. 1 hour 30 minutes
- D. 1 hour 45 minutes
Correct answer: D
Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.
5. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
- A. 7/15 cups
- B. 2/3 cups
- C. 1/3 cups
- D. 1/15 cups
Correct answer: A
Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.
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