find x 120x4005
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HESI A2

HESI A2 Practice Test Math

1. Find x. 120:x = 40:0.5.

Correct answer: C

Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.

2. How many pints are in 56 ounces?

Correct answer: B

Rationale: To find out how many pints are in 56 ounces, you need to divide 56 by 16 (as there are 16 ounces in a pint). This results in 3.5 pints, making choice B the correct answer. Choices A, C, and D are incorrect because they do not accurately calculate the conversion from ounces to pints.

3. Express 0.75 as a fraction.

Correct answer: B

Rationale: To express 0.75 as a fraction, we write it as 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives us 3/4. Therefore, 0.75 is equivalent to 3/4. Choice A (4/5), Choice C (1/2), and Choice D (1/4) are incorrect fractions and do not represent 0.75.

4. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

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.

Similar Questions

A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 3 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
If a person consumes 500 calories per meal, how many calories will they consume in 3 meals?
Express 25 as a fraction in lowest terms.
Solve for x: 3x + 2 = 14
How many millimeters are in 4 meters?

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