teresa began collecting baseball cards exactly 8 months ago and in that time she has collected 144 cards on average how many baseball cards has she co
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HESI A2

HESI A2 Math 2024

1. Teresa began collecting baseball cards exactly 8 months ago, and in that time, she has collected 144 cards. On average, how many baseball cards has she collected per month?

Correct answer: C

Rationale: Teresa collected 144 baseball cards in 8 months. To find the average number of cards collected per month, we divide the total number of cards by the total months: 144 cards ÷ 8 months = 18 cards per month. Therefore, on average, Teresa has collected 18 baseball cards per month. Choice A (12), Choice B (16), and Choice D (22) are incorrect as they do not match the correct calculation based on the information provided in the question.

2. What is the result of dividing 40.3 by 4.8?

Correct answer: D

Rationale: When dividing 40.3 by 4.8, the correct result is approximately 8.4. To obtain this result, you can perform the division 40.3 ÷ 4.8 = 8.395833... which rounds to 8.4. The other choices, A, B, and C, are incorrect. Choice A, 0.084, is incorrect as it is not the result of the division provided. Choice B, 84, is incorrect as it is the result of multiplying 40.3 and 4.8 instead of dividing them. Choice C, 0.84, is incorrect as it is not the correct result when dividing 40.3 by 4.8. It is crucial for individuals in various professions to be precise in mathematical calculations for tasks such as accurate medication administration and dosage measurements. Therefore, the correct answer is D, 8.4.

3. How many cakes do you need for a class of 70 students and 3 staff members if each cake provides 24 servings?

Correct answer: A

Rationale: To determine the number of cakes needed, calculate the total number of people, which is 70 students + 3 staff = 73 people. Since each cake serves 24 people, divide the total number of people by 24 to get approximately 3.04. You cannot have a fraction of a cake, so round up to the next whole number, which is 4. Therefore, you need 4 cakes to serve the class of 70 students and 3 staff members. Choice B (2) is incorrect because 2 cakes would not be enough to serve 73 people. Choice C (5) is incorrect as it would be an excess of cakes. Choice D (3) is incorrect because 3 cakes would not be sufficient to serve 73 people.

4. What is the result of 0.003 x 4.23?

Correct answer: A

Rationale: To find the product of 0.003 and 4.23, multiply the two numbers: 0.003 x 4.23 = 0.01269. Therefore, the correct answer is A, 0.01269. Choice B, 0.01029, is incorrect as it is the result of a different calculation. Choice C, 0.01419, is incorrect because it is not the product of 0.003 and 4.23. Choice D, 0.01329, is also incorrect as it does not represent the correct multiplication result.

5. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?

Correct answer: D

Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.

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