a rat can finish a maze in about 3 minutes if a small backpack is put on the rat so it reduces its speed by 50 how much longer will it take the rat to
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HESI A2

HESI A2 Quizlet Math

1. If a rat can finish a maze in about 3 minutes, how much longer will it take the rat to finish the maze if a small backpack is put on it, reducing its speed by 50%?

Correct answer: C

Rationale: Reducing the rat's speed by 50% means it will take twice as long to finish the maze. Since the original time is 3 minutes, doubling that gives 6 minutes. Therefore, the total time will be 6 minutes, making the correct answer C. Choice A (3 minutes) is the original time it takes the rat to finish the maze, not the time with the backpack. Choice B (4 minutes) is not correct as reducing the speed by 50% would double the original time. Choice D (1.5 minutes) is incorrect as halving the time is not the effect of reducing the speed by 50%.

2. Which numeric system was a base 20 system?

Correct answer: A

Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.

3. What is 7 1/8 + 2 4/12 equal to?

Correct answer: A

Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.

4. 5 1\3 + 3 1\2.

Correct answer: A

Rationale: 5 1\3 + 3 1\2 equals 8 5\6.

5. What is 2/3 of 60 + 1/5 of 75?

Correct answer: B

Rationale: To solve the expression, first calculate 2/3 of 60 by multiplying 60 by 2/3, which equals 40. Then, calculate 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Finally, add these results together: 40 + 15 = 55. Therefore, the correct answer is 55. Choice A (45) is incorrect because it seems to be the sum of the two fractions, not their individual calculations. Choice C (15) is incorrect because it only represents 1/5 of 75. Choice D (50) is incorrect as it might be a miscalculation of the sum of the two fractions.

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