what is 60 of 90
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HESI A2

HESI A2 Math 2024

1. What is 60% of 90?

Correct answer: A

Rationale: To find 60% of 90, you multiply 90 by 0.60 (which is the decimal form of 60%). So, 90 * 0.60 = 54. Therefore, 60% of 90 is 54. Choice A is correct. Choice B, C, and D are incorrect as they do not reflect the correct calculation for finding 60% of 90.

2. After spending money on a sandwich, a drink, and a bag of chips, how much money did the man have left from his initial $10?

Correct answer: B

Rationale: After spending $6.50 on a sandwich, the man had $3.50 left. Then, after spending $1.80 on a drink, he had $1.70 left. Finally, he spent another $0.75 on a bag of chips. Subtracting $0.75 from $1.70 gives us $0.95, which is the amount of money he had left. Choice A is incorrect because it does not consider the bag of chips he bought. Choice C is incorrect as it miscalculates the remaining amount. Choice D is incorrect as it does not account for the total expenses.

3. Add: 34 + 74 + 37 = ?

Correct answer: A

Rationale: To find the sum of the numbers 34 + 74 + 37, add them together: 34 + 74 + 37 = 145. Therefore, the correct answer is A. Choice B (155) is incorrect as it results from adding 34 + 74 + 37 incorrectly. Choice C (154) is incorrect as it is the result of adding the first two numbers correctly, but missing the addition of the third number. Choice D (135) is incorrect as it is the result of a calculation error, possibly adding the numbers in a different order.

4. Solve: 8x = x^2.

Correct answer: C

Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.

5. Sally eats 3/5 of her lunch. John eats 75%. Who ate more?

Correct answer: A

Rationale: To compare, convert both to decimals or percentages: Sally ate 3/5, which is 0.6 or 60%. John ate 75%. Since 75% is greater than 60%, John ate more than Sally. Thus, the correct answer is A. John. Choice B is incorrect because Sally ate a smaller percentage of her lunch compared to John. Choice C is incorrect as the percentages consumed are different. Choice D is incorrect as one of them ate more.

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