Nokea
Evaluate ab^2 - ac if a=c, b=-4, and c=-5
- A. 56
- B. 63
- C. -23
- D. -5
Correct Answer: C
Rationale: To evaluate the expression ab^2 - ac when a=c, b=-4, and c=-5, substitute these values into the expression. We get (-4)(-5)^2 - (-5) = (-4)(25) + 5 = -100 + 5 = -95. Therefore, the correct answer is -95, not 63 as previously stated. Hence, the correct answer is option C, which is -95.
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Add: 5/8 + 1/2 =
- A. 9\8
- B. 7\8
- C. 11\8
- D. 3\4
Correct Answer: C
Rationale: To add fractions, we need a common denominator. In this case, the common denominator for 8 and 2 is 8. So, 5/8 + 1/2 becomes 5/8 + 4/8 = 9/8. Therefore, the correct answer is C: 11/8. Choice A is incorrect because it does not account for the common denominator. Choice B is incorrect as it adds the numerators incorrectly. Choice D is incorrect as it simplifies the fractions incorrectly.
Express 0.025 as a ratio.
- A. 1:40
- B. 4:1
- C. 400:1
- D. 26:40:00
Correct Answer: A
Rationale: To convert 0.025 to a ratio, you first convert the decimal to a fraction by writing it as 25/1000, which simplifies to 1/40. Therefore, the correct ratio for 0.025 is 1:40. When expressing decimals as ratios, it's important to remember to simplify the fraction to its simplest form. In this case, 1:40 is the simplest form of the ratio for 0.025, making it the correct answer choice.
How many pints are in 56 ounces?
- A. 4
- B. 3.5
- C. 3
- D. 5
Correct Answer: B
Rationale: To convert ounces to pints, you need to know that there are 16 ounces in a pint. To find out how many pints are in 56 ounces, you divide 56 by 16 (56 ounces · 16 ounces/pint), which equals 3.5 pints. Therefore, there are 3.5 pints in 56 ounces.
Report all decimal places: 3.7 + 7.289 + 4 = ?
- A. 15.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To solve this calculation, add the numbers together: 3.7 + 7.289 + 4 = 15.989. Therefore, the correct answer is A. When adding decimal numbers, it is crucial to maintain the decimal places throughout the calculation to ensure accuracy and report the sum with all decimal places intact. In this case, the sum should be reported as 15.989 to preserve the precision of the original numbers. Remember, when working with decimals, it is essential to pay attention to the decimal places to prevent rounding errors and accurately represent the sum of the numbers involved.
What is the sum of 6 3/4 and 8 1/6?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4, and 8 1/6 = 49/6. Add the fractions: 27/4 + 49/6 = 162/24 + 98/24 = 260/24. Simplify to 10 & 22/24, then to 11 & 10/12 or 11 & 5/6. Therefore, the correct sum is 14 & 11/12.