Nokea
Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
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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.
Convert 0.75 to a ratio in simplest form.
- A. 5:07
- B. 3:04
- C. 7:05
- D. 0.09375
Correct Answer: B
Rationale: To convert 0.75 to a ratio in simplest form, we first need to express 0.75 as a fraction, which is 75/100 or 3/4. The ratio form of 3/4 is 3:4. Therefore, the correct answer is B. Choice A (5:07) is incorrect as it doesn't represent the correct ratio. Choice C (7:05) is also incorrect because it doesn't match the simplified form of 0.75. Choice D (0.09375) is incorrect as it is not in ratio form and does not represent the given decimal value correctly.
In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct Answer: B
Rationale: If two-thirds of the students are boys, then one-third must be girls. To find the number of girls, we calculate one-third of the total number of students. Since the total number of students is 27, one-third of 27 is 9. Therefore, there are 9 girls in Mr. Garcia's class.
Ratio and Proportion: 0.5:20 :: X:200
- A. X = 50
- B. X = 4
- C. X = 5
- D. X = 25
Correct Answer: A
Rationale: To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 — 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.
Evaluate the expression when x=11: x + 44 / (2x) =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To evaluate the expression, substitute x=11 into the equation: 11 + 44 / (2*11). First, calculate 2*11 = 22. Then, simplify the expression: 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is 13, which corresponds to choice C.