if a dozen roses cost 36 how much will four roses cost
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HESI A2

HESI A2 Math Practice Exam

1. If a dozen roses cost $36, how much will four roses cost?

Correct answer: B

Rationale: To find the cost of each rose, divide the total cost by the number of roses in a dozen: $36 ÷ 12 = $3 per rose. Therefore, 4 roses will cost 4 × $3 = $12. Choice A ($9) is incorrect because it miscalculates the cost per rose. Choice C ($10) is incorrect as it doesn't consider the correct division of the total cost. Choice D ($15) is incorrect as it overestimates the cost of four roses.

2. Solve for x: 3x - 5 = 10

Correct answer: A

Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.

3. 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.

4. How many liters are in 5000 milliliters?

Correct answer: A

Rationale: To convert milliliters to liters, you divide by 1000 since 1000 milliliters make up 1 liter. In this case, 5000 milliliters divided by 1000 milliliters per liter equals 5 liters (5000 mL ÷ 1000 mL/L = 5 L). Therefore, the correct answer is A: 5 liters. Choice B, 4 liters, is incorrect because 5000 milliliters is equivalent to 5 liters, not 4. Choice C, 6 liters, is incorrect as it is not the accurate conversion from milliliters to liters in this case. Choice D, 5.5 liters, is incorrect as it does not reflect the correct conversion of 5000 milliliters to liters, which is 5 liters.

5. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

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