a landscaping plan is drawn on a 150 scale if a deck in the plan measures 12 cm by 10 cm how large is the deck in real life
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HESI A2

HESI A2 Math 2024

1. A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?

Correct answer: B

Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

2. What is the result of multiplying 10 by 5?

Correct answer: B

Rationale: The correct answer is B. To find the result of multiplying 10 by 5, you perform the calculation: 10 × 5 = 50. Choices A, C, and D are incorrect because they do not represent the accurate product of 10 multiplied by 5.

3. Given 15:x=3:8, find x.

Correct answer: A

Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.

4. A rancher has a herd of different-colored horses in his corral. Ten of the horses are black, six are brown, eight are two-color horses, and three are all white. What percentage of the horses are brown? (Round to the nearest whole number if necessary).

Correct answer: B

Rationale: To find the percentage of brown horses, first calculate the total number of horses: 10 black + 6 brown + 8 two-color + 3 all white = 27 horses. Then, calculate the percentage of brown horses: (6 ÷ 27) × 100 = 22.22%, which rounds to 20%. Choice B, 20%, is the correct answer. Choice A, 15%, is incorrect as it does not reflect the accurate percentage of brown horses. Choice C, 25%, is incorrect as it overestimates the percentage of brown horses. Choice D, 30%, is incorrect as it also overestimates the percentage of brown horses.

5. Calculate: (88)(7.08) =

Correct answer: D

Rationale: To find the product of 88 and 7.08, simply multiply the two numbers: 88 x 7.08 = 623.04. Therefore, the correct answer is D. Choices A, B, and C are incorrect because they do not result from the correct multiplication of 88 and 7.08.

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