What is 7 1/8 + 2 4/12 equal to?

Correct Answer: A

Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.

Correct Answer: A

Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.

Correct Answer: A

Rationale: In this question, we are given a proportion where x is to 15 as 120 is to 225. To find the value of x, we can set up the proportion equation: x/15 = 120/225 To solve for x, we can cross multiply: 225x = 15 * 120 225x = 1800 x = 1800 / 225 x = 8 Therefore, the correct answer is A) x = 8. Explanation of why others are wrong: B) x = 10: This answer is incorrect because after solving the proportion equation, we find that x is equal to 8, not 10. C) x = 6: This answer is incorrect because after solving the proportion equation, we find that x is equal to 8, not 6. D) x = 12: This answer is incorrect because after solving the proportion equation, we find that x is equal to 8, not 12. Educational context: Understanding proportions is crucial in pharmacology as it helps in calculating drug dosages, concentrations, and ratios. Pharmacology deals with precise measurements and calculations, making it essential for healthcare professionals to have a strong foundation in mathematical concepts like proportions. This question tests the student's ability to set up and solve a proportion, a skill that is directly applicable to real-world scenarios in pharmacology.

Correct Answer: A

Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.

Correct Answer: A

Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, 0.09 * 100 = 9%. The correct answer is A. Choice B (90%) is incorrect because multiplying 0.09 by 100 does not equal 90%. Choices C (1%) and D (0%) are incorrect as they do not reflect the accurate conversion of 0.09 to a percentage.