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 Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?

Correct answer: B

Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.

3. Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents each, and the plates were 75 cents each. If Stu paid with a $10 bill, how much change was he owed?

Correct answer: C

Rationale: Stu purchased 6 cups at 25 cents each, totaling $1.50 (6 cups x $0.25 = $1.50). He also bought 6 plates at 75 cents each, totaling $4.50 (6 plates x $0.75 = $4.50). Therefore, the total cost of the cups and plates is $1.50 + $4.50 = $6. Stu paid with a $10 bill, so the change he was owed is $10 - $6 = $4. Stu was owed $4 in change. The correct answer is $5, not $4 as he was owed that amount. Option A, $4, is incorrect as it miscalculates the change amount. Option B, $4.50, is incorrect as it does not consider the correct total cost. Option D, $5.50, is incorrect as it overestimates the change Stu was owed.

4. How many ounces are in 3/4 pints?

Correct answer: A

Rationale: To find the number of ounces in 3/4 pints, we need to know that 1 pint is equal to 16 ounces. Therefore, 3/4 of a pint would be 3/4 * 16 = 12 ounces. The correct answer is 12 ounces because 3/4 pints is equivalent to 12 ounces. Choices B, C, and D are incorrect as they do not accurately calculate the conversion from pints to ounces.

5. Solve: 2 - 8(24 ÷ 2).

Correct answer: A

Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we divide 24 by 2 to get 12. Then, we multiply 8 by 12, which equals 96. Finally, we subtract 96 from 2: 2 - 96 = -94. Therefore, the correct answer is A, '-94'. Choices B, C, and D are incorrect as they do not follow the correct order of operations or make errors during calculation.

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