Correct Answer: D

Rationale: If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day.
To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories.
Therefore, Alice consumes 35,000 calories per week.

Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.

Correct Answer: B

Rationale: The correct answer is B: 150 kilograms.
To find the total amount of feed, you need to multiply the number of bags by the weight of each bag. In this case, 3 bags * 50 kilograms each = 150 kilograms.
Therefore, the farmer has a total of 150 kilograms of feed.
Choice A (100 kilograms) is incorrect because it doesn't consider the total weight of all 3 bags.
Choice C (200 kilograms) and
Choice D (250 kilograms) are incorrect as they are miscalculations of the total weight of the feed.

Correct Answer: A

Rationale:
To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90.
Therefore, the correct answer is $90.
Choice B, $80, is incorrect as it does not consider the 25% discount.
Choice C, $75, is incorrect as it is lower than the correct calculation.
Choice D, $95, is incorrect as it does not reflect the reduction from the discount.

Correct Answer: A

Rationale:
To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19.
Therefore, the correct answer is 19.
Choice A, '19,' is the correct result of the expression when y = 3.
Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal.
Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression.
Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

Correct Answer: C

Rationale:
To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately.

For the sphere:
- Radius = Diameter / 2 = 50 / 2 = 25 cm
- Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm²

For the cylinder:
- Radius = Diameter / 2 = 30 / 2 = 15 cm
- Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm²


Total surface area = Surface area of sphere + Surface area of cylinder
= 500π + 690π = 1190π cm²
≈ 5486 sq cm.
Therefore, the correct answer is C.


Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer.

Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.