there are 6657 marbles in a jar approximately 34 are white and the rest are black how many black marbles are there
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HESI A2

HESI A2 Math Practice Exam

1. There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?

Correct answer: A

Rationale: To find the number of black marbles, we need to calculate the percentage that represents the black marbles, which is 100% - 34% = 66%. Then, we find 66% of 6,657 to determine the number of black marbles. 66% of 6,657 is approximately 4,394, so there are 4,394 black marbles in the jar. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct calculation for the number of black marbles in the jar.

2. A clinic sees an average of 25 patients every 4 hours. If the clinic is open for 8 hours, how many patients will they see in total?

Correct answer: D

Rationale: Rationale: 1. First, determine how many patients the clinic sees in one hour: 25 patients / 4 hours = 6.25 patients per hour (approximately 6 patients per hour) 2. Since the clinic is open for 8 hours, multiply the number of patients seen per hour by the number of hours the clinic is open: 6.25 patients/hour * 8 hours = 50 patients 3. Therefore, the clinic will see a total of 50 patients in 8 hours, which corresponds to answer choice D) 200.

3. What does exogenous mean?

Correct answer: B

Rationale: Exogenous means produced outside the body. In this context, 'within the body' (Choice A), 'a byproduct' (Choice C), and 'caused by bacteria' (Choice D) do not accurately define exogenous. The correct definition of exogenous specifically refers to something originating or produced externally.

4. Solve for y if y = 3: 4y + 21/y

Correct answer: A

Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

5. What type of chemical reaction is represented by AB → A + B?

Correct answer: B

Rationale: The chemical equation AB → A + B represents a decomposition reaction. In a decomposition reaction, a single compound breaks down into two or more simpler substances. In this specific reaction, compound AB is decomposed into its elements, A and B, making it a decomposition reaction. Choice A, Synthesis, involves the combination of two or more substances to form a more complex product, which is not the case here. Choices C and D, Single replacement and Double replacement, involve the exchange of ions between compounds or elements, which is not happening in the given reaction.

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