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Round to the tenths place: What is 6.4% of 32?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2
Correct Answer: D
Rationale: To find 6.4% of 32, first convert 6.4% to a decimal by dividing by 100: 6.4/100 = 0.064. Next, multiply 0.064 by 32: 0.064 * 32 = 2.048. Rounding to the tenths place, 2.048 rounds down to 2. Therefore, the correct answer is 2, making choice D the correct option.
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A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?
- A. Early morning to early afternoon
- B. Lunchtime to midnight
- C. Early afternoon to bedtime
- D. Midnight to sunrise
Correct Answer: C
Rationale: The military time of 1300 to 2000 corresponds to 1:00 PM to 8:00 PM. The healthcare professional works during this time frame from early afternoon to bedtime.
45:x=35:105. Find the value of X. (Enter the whole number only.)
- A. 100
- B. 135
- C. 75
- D. 175
Correct Answer: B
Rationale: To find the value of x in the proportion 45:x=35:105, we can cross multiply to solve for x.
45 * 105 = 35 * x
x = (45 * 105) / 35
x = 135
Therefore, the correct answer is B: 135.
Explanation: The correct answer is found by cross multiplying in a proportion. Choice A (100) is incorrect as it doesn't satisfy the proportion. Choice C (75) and Choice D (175) are also incorrect as they do not align with the calculated value of x (135) from the given proportion.
What is the sum of 23.5 + 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, align the decimal points and add the numbers as if they were whole numbers. 23.5 + 7.025 equals 30.525. Therefore, the correct answer is A, which is 30.525. When adding decimal numbers, it is essential to maintain the alignment of decimal points and add the numbers accordingly. In this case, adding 23.5 and 7.025 results in 30.525, with the decimal point staying in the same position as the numbers being added.
Evaluate ab²-ac if a=c, b=-4, and c=-5
- A. 56
- B. -80
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate ab²-ac, substitute a=c, b=-4, and c=-5 into the expression: (-4)(-5)² - (-4)(-5). This simplifies to (-4)(25) - (-4)(-5) = -100 + 20 = -80. Therefore, the correct answer is -80, which corresponds to choice B. It is crucial to substitute the values correctly and follow the correct order of operations to arrive at the accurate result.
Add 7/8 + 9/10 + 6/5 as mixed numbers.
- A. 3 & 39/40
- B. 22/23
- C. 2 & 39/40
- D. 3 & 22/23
Correct Answer: C
Rationale: To add fractions, it is essential to have a common denominator. The least common multiple of 8, 10, and 5 is 40. Converting each fraction to have a denominator of 40, we get 7/8 as 35/40, 9/10 as 36/40, and 6/5 as 48/40. Adding the numerators gives 35 + 36 + 48 = 119. This is equivalent to 2 wholes (40/40) and a remainder of 39/40. Therefore, the sum is 2 & 39/40.