Correct Answer: C

Rationale: To determine the pounds of cake that can be made with 40 eggs, divide the total number of eggs by the eggs needed per pound of cake: 40 eggs · 3 eggs/pound = 13 pounds of cake. Therefore, the correct answer is 13 pounds. Choice A, 12 pounds, is incorrect because it does not consider the ratio of eggs to cake. Choice B, 14 pounds, and Choice D, 15 pounds, are incorrect as they do not reflect the correct calculation based on the given ratio in the question.

Correct Answer: A

Rationale: To calculate the total hours worked, add 8.5 + 8 + 6.75 + 9 + 9, which equals 41.25 hours. To determine the gross pay, multiply the total hours worked (41.25) by the hourly rate ($15.65): 41.25 * $15.65 = $645.56. This precise calculation ensures accurate compensation for the hours worked, emphasizing the importance of financial accuracy in payroll management. Choice B, C, and D are incorrect as they do not result from the accurate calculation of total hours worked multiplied by the hourly rate, providing a good illustration of the consequences of miscalculations in payroll processing.

Correct Answer: B

Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.

Correct Answer: B

Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.

Correct Answer: C

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.