a bottle of hand sanitizer contains 70 alcohol if 5ml of sanitizer are used how much pure alcohol is present
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HESI A2

HESI A2 Math Practice Test

1. A bottle of hand sanitizer contains 70% alcohol. If 5ml of sanitizer are used, how much pure alcohol is present?

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.

2. If Alice consumes twice as many calories as Claire, and Claire consumes 2,500 calories a day, how many calories does Alice consume per week?

Correct answer: D

Rationale: If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day. To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories. Therefore, Alice consumes 35,000 calories per week. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.

3. Sergeant Kellogg had his men line up at 3:40 P.M. What would that be in military time?

Correct answer: D

Rationale: In military time, the 24-hour clock is used. 3:40 P.M. in standard time would be 1540 in military time. To convert from standard time to military time, you keep the hour number the same for afternoon and evening hours but add 12 to afternoon hours. Choice A (340) is incorrect as it doesn't follow the military time format. Choice B (3040) is incorrect as military time uses a maximum of four digits. Choice C (1500) is incorrect as it represents 3:00 P.M. in military time, not 3:40 P.M.

4. If she had $1,070 after spending $18, how much did she have initially?

Correct answer: A

Rationale: To determine the initial amount she had, we subtract the amount spent ($18) from the total amount she had after spending. If she had $1,070 after spending, subtracting $18 gives us $1,052, which was the initial amount. Choices B, C, and D are incorrect as they do not consider the subtraction of the amount spent to find the initial amount.

5. What number is 6 equal to 15% of?

Correct answer: B

Rationale: To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number. To solve for x, we divide 6 by 0.15, which gives us x = 40. Therefore, 6 is equal to 15% of the number 40. Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15. Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.

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