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Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
- A. 90
- B. 80
- C. 75
- D. 100
Correct Answer: A
Rationale: To solve for X, first subtract 90 from both sides: 2X = 270 - 90, which simplifies to 2X = 180. Then, divide by 2: X = 180/2 = 90. Therefore, the correct answer is A) 90.
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Ratio and Proportion 15:1000::x:100 = ?
- A. 1.5
- B. 2
- C. 1
- D. 1.2
Correct Answer: C
Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
Round to the nearest whole number. Change the fraction to a percent: 9/13.
- A. 33%
- B. 69%
- C. 72%
- D. 78%
Correct Answer: B
Rationale: To convert a fraction to a percentage, you divide the numerator by the denominator, then multiply by 100. For the fraction 9/13, (9/13) * 100 = 69%. When rounded to the nearest whole number, 69% remains as 69%. Therefore, the correct answer is 69% (Choice B).
5 ½ divided by 2 ½ =
- A. 2 3/4
- B. 2 1/5
- C. 2
- D. 2 1/2
Correct Answer: B
Rationale: Correct Answer: B (2 1/5)
Rationale: Convert mixed numbers to improper fractions: 5 ½ = 11/2, 2 ½ = 5/2. Perform division: (11/2) ÷ (5/2) = 11/2 x 2/5 = 22/10 = 2 2/10 = 2 1/5.
Summary:
A: Incorrect, as it is equivalent to 2 3/4.
C: Incorrect, as it is a whole number and doesn't represent the result of the division.
D: Incorrect, as it is the initial divisor, not the result of the division.
What is the result of dividing 18.104 by 0.002?
- A. 9052
- B. 0.09052
- C. 9.052
- D. 9.52
Correct Answer: A
Rationale: When dividing by a small decimal like 0.002, it's equivalent to multiplying by 500 (since 1 · 0.002 = 500). Thus, 18.104 — 500 = 9052. This process involves shifting the decimal point three places to the right to calculate the answer.
What is the result of adding 4.934, 7.1, and 9.08 together?
- A. 21.114
- B. 21.042
- C. 20.214
- D. 59.13
Correct Answer: A
Rationale: To find the sum of 4.934, 7.1, and 9.08, you simply add them together: 4.934 + 7.1 + 9.08 = 21.114. Therefore, the correct answer is A, which equals 21.114. It is important to pay attention to the precision of the numbers while performing arithmetic operations to ensure an accurate result.