Correct Answer: D

Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.

Correct Answer: A

Rationale: To produce 24 eggs in 24 hours, 4 times the number of chickens needed to produce 6 eggs is required. Since it takes 2 chickens to produce 6 eggs, 8 chickens are needed to produce 24 eggs in the same time frame. Choice B, 12 chickens, is incorrect because it doesn't consider the proportionality between chickens and eggs. Choice C, 18 chickens, is incorrect as it overestimates the number of chickens needed. Choice D, 6 chickens, is incorrect as it doesn't account for the increased number of eggs required.

Correct Answer: D

Rationale: To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.

Correct Answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph 1.5 hours = 97.5 miles. This calculation is correct because distance = speed time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

Correct Answer: A

Rationale: The correct answer is A: 10 pounds. There are 16 ounces in a pound. To convert 160 ounces to pounds, you need to divide 160 by 16, which equals 10 pounds. Choice B, 8 pounds, is incorrect because it does not account for the correct conversion factor. Choice C, 5 pounds, is incorrect as it is not the result of dividing 160 by 16. Choice D, 12 pounds, is incorrect as it overestimates the conversion.