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How many grams are in 2 kilograms?
- A. 20 grams
- B. 200 grams
- C. 2 grams
- D. 2,000 grams
Correct Answer: D
Rationale: Correct Answer: D (2,000 grams)
Rationale:
1. 1 kilogram = 1,000 grams.
2. To convert 2 kilograms to grams, multiply 2 by 1,000.
3. 2 x 1,000 = 2,000 grams.
Summary:
A: Incorrect; 2 kilograms is not equal to 20 grams.
B: Incorrect; 2 kilograms is not equal to 200 grams.
C: Incorrect; 2 kilograms is not equal to 2 grams.
You may also like to solve these questions
Evaluate ab^2-ac if a=c, b=-4, and c=-5
- A. 56
- B. 105
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.
A mailman delivers mail to 540 households. Yesterday he delivered a total of 5,400 pieces of mail on his route. What was the average number of pieces he delivered to each household? (Enter numeric value only. Round to whole number.)
- A. 10
- B. 12
- C. 14
- D. 8
Correct Answer: D
Rationale: Correct Answer: D (8)
Rationale:
1. Total pieces delivered = 5,400
2. Number of households = 540
3. Average pieces per household = Total pieces delivered / Number of households
4. Average = 5,400 / 540 = 10
5. Therefore, the average pieces delivered per household is 10, so choice D (8) is the correct answer.
Summary:
A: 10 - Incorrect. This is the calculated average, not the answer.
B: 12 - Incorrect. This is not the correct average based on the given information.
C: 14 - Incorrect. This is not the correct average based on the given information.
Multiply: (88)(7.08) =
- A. 862.5
- B. 88.04
- C. 64.252
- D. 623.04
Correct Answer: D
Rationale: To find the product of (88)(7.08), multiply the two numbers together: 88 x 7.08 = 623.04. Therefore, the correct answer is 623.04. When multiplying whole numbers and decimals, it is essential to follow the rules of multiplication and perform the calculations accurately to obtain the correct result. In this case, multiplying 88 by 7.08 gives us 623.04. It is crucial to pay attention to decimal placement and ensure each digit is correctly multiplied to reach the accurate product.
What is 54% of $789.56?
- A. $426.37
- B. $363.20
- C. $426.36
- D. $526.38
Correct Answer: C
Rationale: To find 54% of $789.56, you need to multiply $789.56 by 0.54 (which represents 54% as a decimal). $789.56 * 0.54 = $426.36. Therefore, the correct answer is $426.36. When calculating a percentage of a number, you convert the percentage to a decimal by dividing by 100 (54% = 54/100 = 0.54) and then multiply it by the number to find the result. In this case, converting 54% to a decimal gives 0.54, and then multiplying by $789.56 gives the answer of $426.36.
Solve for x: 3:2 :: 24:x
- A. 16
- B. 12
- C. 2
- D. 22
Correct Answer: A
Rationale: To solve this proportion, we use the property that in a proportion, the product of the means is equal to the product of the extremes. So, 3 * x = 2 * 24. By solving for x, we find x = 16. Therefore, the correct answer is A. In this analogy, the relationship between the first pair of numbers (3 and 2) must hold true for the second pair of numbers (24 and x). By setting up the proportion, we can find the missing value x. This type of problem is common in mathematics and helps test your understanding of proportional relationships.