What is the result of multiplying 226 by 55.3?

Correct Answer: B

Rationale: The correct answer is 12,541.8. To find this result, you multiply 226 by 55.3, which equals 12,541.8. Choices A, C, and D are incorrect because they do not reflect the accurate multiplication of 226 by 55.3.

Correct Answer: A

Rationale: To convert tons to pounds, you multiply by 2000 because 1 ton is equal to 2000 pounds. Therefore, 3 tons equal 3 2000 = 6000 pounds. The correct answer is 6000 pounds. Choice B (5000 pounds) is incorrect because it miscalculates the conversion. Choice C (3000 pounds) is incorrect as it represents the weight of 1 ton, not 3 tons. Choice D (7000 pounds) is incorrect as it overestimates the weight of 3 tons.

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: B

Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 · 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.

Correct Answer: A

Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.

Correct Answer: C

Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg · 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.

Correct Answer: D

Rationale: The difference between the original price ($200) and the new price ($150) is $50. To find the percentage decrease, divide the difference by the original price and multiply by 100: ($50 / $200) 100 = 25%. Therefore, the correct answer is D, meaning the price decreased by 25%. Choices A, B, and C are incorrect as they do not accurately represent the percentage decrease in price.

Correct Answer: C

Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters 770 meters. Each tree occupies 10 meters 10 meters. Dividing the effective area by the space for each tree gives: (640 770) · (10 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.

Correct Answer: C

Rationale: To convert quarts to gallons, remember that 1 gallon equals 4 quarts. Therefore, 16 quarts · 4 quarts/gallon = 4 gallons. The correct answer is 4 gallons because each gallon contains 4 quarts. Choice A (1 gallon) is incorrect because 1 gallon is equal to 4 quarts, not 16 quarts. Choice B (8 gallons) is incorrect as it miscalculates the conversion. Choice D (4.5 gallons) is incorrect because it doesn't align with the conversion rate of 4 quarts per gallon.