Correct Answer: A

Rationale:
To find the number of students who said their favorite color is blue, we calculate 35% of 100, which is (35/100) * 100 = 35.
Therefore, 35 students said their favorite color is blue.
Choice B is incorrect because it represents the percentage of students who chose red.
Choice C is incorrect as it represents the percentage of students who chose green.
Choice D is incorrect as it represents the percentage of students who chose yellow.

Correct Answer: A

Rationale:
To find the volume of the aquarium, we multiply its length, width, and height. The formula for the volume of a rectangular solid is V = l w h. Substituting the given dimensions, we get V = 30 10 12 = 3600 cubic inches.
Therefore, the aquarium can hold 3600 cubic inches of water.
Choice B (52 cubic inches),
Choice C (312 cubic inches), and
Choice D (1144 cubic inches) are incorrect as they do not correctly calculate the volume of the aquarium based on its dimensions.

Correct Answer: C

Rationale: The prefix 'centi-' means one-hundredth. In the metric system, 1 meter is equal to 100 centimeters.
Therefore, to convert meters to centimeters, you multiply the number of meters by 100. In this case, 7 meters is equal to 7 * 100 = 700 centimeters.
Choice A is incorrect as it does not consider the conversion factor properly.
Choice B is incorrect as it only accounts for a factor of 10 instead of 100.
Choice D is incorrect as it overestimates the conversion by a factor of 10.

Correct Answer: B

Rationale: The correct equation that describes the relationship between x and y based on the chart is y = 3x. This is because each y-value in the chart is 3 times the x-value.
Choice A (x = 3y) is incorrect as it implies x is 3 times y, which is the opposite of the relationship shown in the chart.
Choice C (y = 1/3x) is incorrect since the relationship in the chart indicates y is 3 times x, not a third of x.
Choice D (x/y = 3) is incorrect as it represents a ratio between x and y equal to 3, which is not in line with the relationship depicted in the chart.

Correct Answer: C

Rationale: If the incoming class has 200 students, then half of those students were required to take the exam. (200)(1/2) = 100. So 100 students took the exam, but only three-fifths of that 100 passed the exam. (100)(3/5) = 60.
Therefore, 60 students passed the exam. The correct answer is 60.
Choice A is incorrect as it miscalculates the number of students who passed the exam.
Choice B is incorrect as it does not consider the passing rate of the exam.
Choice D is incorrect as it is much lower than the correct answer.