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What is 0.9 divided by 3?
- B. 3
- C. 0.3
- D. 9
Correct Answer: C
Rationale: To find the result of dividing 0.9 by 3, we perform the division operation, which equals 0.3. Therefore, the correct answer is 0.3. Choice A (0) is incorrect as the result is not zero, but 0.3. Choice B (3) is incorrect as 0.9 divided by 3 is not 3 but 0.3. Choice D (9) is incorrect as 0.9 divided by 3 is not 9 but 0.3.
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Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?
- A. 2 peach pies
- B. 3 peach pies
- C. 1 peach pie
- D. 2 peach pies
Correct Answer: A
Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.
Solve for x: 3(x - 4) = 18.
- A. x = 10
- B. x = 12
- C. x = 5
- D. x = 3
Correct Answer: A
Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.
A female ran a 24-mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?
- A. 5 hours
- B. 5.3 hours
- C. 4 hours
- D. 6 hours
Correct Answer: B
Rationale: To find the total time, add the times for each set of 6 miles: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to complete the 24-mile course. Choice A, 5 hours, is incorrect because the total time is slightly more than that. Choice C, 4 hours, is incorrect as it doesn't account for the total time taken. Choice D, 6 hours, is incorrect as it's an overestimation of the actual time taken.
A label states 1 mil contains 500 mg. How many mils are there if there are 1.5 grams?
- A. 9
- B. 2
- C. 3
- D. 5
Correct Answer: C
Rationale: To calculate the number of mils, first, convert 1.5 grams to milligrams (1.5 grams = 1500 mg). Then, since 1 mil contains 500 mg, divide 1500 mg by 500 mg/mil, resulting in 3 mils required to contain 1.5 grams of substance. Choice A, 9, is incorrect because it miscalculates the conversion. Choice B, 2, is incorrect as it does not consider the correct conversion factor. Choice D, 5, is incorrect as it also miscalculates the conversion.
Change 1/6 to a percent.
- A. 16.67%
- B. 15%
- C. 14%
- D. 17%
Correct Answer: A
Rationale: To convert 1/6 to a percentage, you multiply 1/6 by 100. This gives you 16.67%. Choice A is correct. Choice B, 15%, is incorrect as it is the rounded value of 1/6 as a percentage. Choice C, 14%, and Choice D, 17%, are also incorrect as they do not represent the accurate conversion of 1/6 to a percentage.