leslie is blowing up her favorite photograph if the photos original height was 15 inches and the new height is 4 feet how many feet must the new width
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HESI A2

HESI A2 Math

1. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

2. A medication must be taken twice daily, 12 hours apart. If the first dose is at 8:00 AM, what is the most convenient time for the second dose to avoid disrupting sleep?

Correct answer: B

Rationale: To take the medication 12 hours apart from the first dose at 8:00 AM, the second dose should be taken at 8:00 PM. However, to avoid disrupting sleep, it is recommended to take the second dose a bit earlier. Taking the second dose at 6:00 PM ensures that the medication is still being taken 12 hours apart while allowing for a buffer before bedtime to avoid any potential disruptions to sleep. Choice A (4:00 PM) is too early, not maintaining the 12-hour interval. Choice C (8:00 PM) aligns with the 12-hour interval but might be too close to bedtime, potentially causing sleep disruptions. Choice D (10:00 PM) is too late and exceeds the 12-hour interval.

3. Convert this military time to regular time: 0705 hours.

Correct answer: A

Rationale: In military time, 0705 hours translates to 7:05 A.M. Military time follows a 24-hour clock format, so there is no change from A.M. to P.M. like in regular time. Choice B (7:05 P.M.) is incorrect as 0705 hours is in the morning. Choices C (5:07 A.M.) and D (5:07 P.M.) are incorrect due to the incorrect order of hours and minutes.

4. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

Correct answer: A

Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.

5. A worker's schedule is written in military time, and shows their shift is from 1500 to 0100. When will they get off work?

Correct answer: B

Rationale: When converting military time, 0100 actually corresponds to 1:00 AM the next day. Choice A is incorrect as 'a little bit after midnight' is vague and not a specific time. Choice C is incorrect as it is after the worker's shift ends. Choice D is incorrect as it is before the worker's shift ends.

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