how many feet are in 6 meters
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HESI A2

HESI A2 Math 2024

1. How many feet are in 6 meters?

Correct answer: D

Rationale: To convert meters to feet, you can use the conversion factor: 1 meter = 3.28084 feet. Therefore, for 6 meters: 6 × 3.28084 = 19.684 feet. Rounding to two decimal places, the answer is 19.68 feet. Choice D, 19.68 feet, is the correct conversion. Choice A, 1.83 feet, is incorrect as it seems to be a miscalculation. Choice B, 18.48 feet, is incorrect as it doesn't match the correct conversion. Choice C, 18.8 feet, is also incorrect as it is not the accurate conversion from 6 meters to feet.

2. How many kilometers are there in 12 miles?

Correct answer: C

Rationale: To convert miles to kilometers, you can use the conversion factor of 1 mile is equal to 1.609 kilometers. Therefore, to find the number of kilometers in 12 miles, you can multiply 12 miles by 1.609 to get 19.2 kilometers. The correct answer is 19.2 kilometers, making choice C the correct option. Choice A (7.5 kilometers) is incorrect because it represents half the correct conversion. Choice B (13.2 kilometers) is incorrect as it does not apply the correct conversion factor. Choice D (22 kilometers) is incorrect and represents an incorrect conversion calculation.

3. Richard wants to make 2.5 batches of sugar cookies. One batch calls for 1.75 cups of sugar. How many cups of sugar will Richard need for 2.5 batches?

Correct answer: A

Rationale: To calculate how much sugar Richard needs for 2.5 batches, multiply the amount of sugar needed for one batch (1.75 cups) by 2.5: 1.75 × 2.5 = 4.375  cups 1.75×2.5=4.375 cups Since the question is asking for the nearest whole number, 4.375 rounds to 4.

4. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?

Correct answer: C

Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.

5. Add and simplify: 4⅔ + 6½ =

Correct answer: C

Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.

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