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What is 80% of 55?
- A. 40
- B. 44
- C. 39
- D. 45
Correct Answer: B
Rationale: To find 80% of a number, you multiply the number by 0.8. Therefore, 80% of 55 is calculated as 0.8 55 = 44. Choice A (40), choice C (39), and choice D (45) are incorrect as they do not represent the correct calculation for 80% of 55.
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A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7 lbs 10 oz
- B. 10 lbs 7 oz
- C. 13 lbs 3 oz
- D. 3 lbs 13 oz
Correct Answer: A
Rationale: To find the weight in pounds, divide the weight in grams by the conversion factor (453.59 grams per pound). 3,459 grams · 453.59 = approximately 7 lbs 10 oz. Therefore, choice A (7 lbs 10 oz) is the correct answer. Choice B (10 lbs 7 oz) and Choice C (13 lbs 3 oz) are incorrect as they do not correspond to the correct conversion. Choice D (3 lbs 13 oz) is incorrect as it does not account for the additional pounds derived from dividing 3,459 grams by the conversion factor.
Solve for x: 4x - 8 = 16.
- A. x = 7
- B. x = 7
- C. x = 4
- D. x = 6
Correct Answer: D
Rationale: To solve the equation 4x - 8 = 16, first, add 8 to both sides to isolate 4x: 4x = 24. Then, divide by 4 to solve for x: x = 6. Therefore, the correct answer is D. Choice A, x = 7, is incorrect as the correct solution is x = 6. Choices B and C are duplicates of choice A and are also incorrect.
Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct Answer: C
Rationale: Rationale:
- The imaginary unit, denoted as "i," is defined as the square root of -1.
- Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1.
- Option A, -5, is a real number and not an imaginary unit multiple.
- Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i.
- Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
Convert 0.25 to a fraction.
- A. 1/4
- B. 1/3
- C. 1/2
- D. 3/4
Correct Answer: A
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.
Convert 7 grams to milligrams.
- A. 700 mg
- B. 7,000 mg
- C. 70 mg
- D. 0.007 mg
Correct Answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams x 1,000 = 7,000 mg. Choice A (700 mg) is incorrect as it represents 700 grams, not milligrams. Choice C (70 mg) is incorrect as it implies that 7 grams is equivalent to 70 milligrams, which is inaccurate. Choice D (0.007 mg) is also incorrect since it represents a fraction of a milligram, significantly less than the original 7 grams.