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In the number 743.25, which digit represents the tenths place?
- A. 3
- B. 4
- C. 2
- D. 5
Correct Answer: C
Rationale: In the number 743.25, the tenths place is the first digit to the right of the decimal point, which is 2. Therefore, the correct answer is C. Choice A (3) represents the hundredths place, choice B (4) represents the units place, and choice D (5) represents the hundredths place.
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What is 7 1/8 + 2 4/12 equal to?
- A. 9 11/24
- B. 10 1/3
- C. 8 3/8
- D. 7 7/24
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.
A person consumed 75 grams of protein. This is 30% of the recommended daily intake (RDI) for protein. How many grams of protein does the person need to consume to meet the full RDI?
- A. 250 grams
- B. 225 grams
- C. 260 grams
- D. 300 grams
Correct Answer: A
Rationale: To find the full RDI, divide the amount of protein consumed (75 grams) by 30% (or 0.30): 75 · 0.30 = 250 grams. Therefore, the person needs 250 grams of protein to meet the full RDI. Choice A is correct because it accurately calculates the amount needed to reach the full RDI. Choices B, C, and D are incorrect as they do not correctly calculate the total amount of protein needed based on the given information.
A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct Answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
Change the following percentage to a decimal: 0.03%
- A. 0.03
- B. 0.0003
- C. 0.3
- D. 0.003
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. Therefore, 0.03% · 100 = 0.0003. The correct answer is B. Choice A (0.03) is incorrect because it does not account for the conversion of percentage to decimal. Choice C (0.3) is incorrect as it represents 0.03 as 30% rather than 0.03%. Choice D (0.003) is also incorrect as it does not accurately convert 0.03% to a decimal.
Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.