Nokea
Four more than a number is 2 less than 5\6 of another number. Which equation represents this?
- A. x + 4 = 5\6y - 2
- B. x + 4 = 2 - 5\6y
- C. 4 + x = 5\6y + 2
- D. x + 4 = 5\6y - 2
Correct Answer: A
Rationale: The equation that represents the relationship is x + 4 = 5\6y - 2.
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Complete the following equation: 5 + 3 4 - 6 / 2 = ?
- A. 5
- B. 9
- C. 11
- D. 7
Correct Answer: B
Rationale: To solve this equation, follow the order of operations (PEMDAS/BODMAS): First, perform multiplication and division from left to right. 3 4 equals 12, and 6 / 2 equals 3. Then, carry out addition and subtraction from left to right. 5 + 12 - 3 equals 14, not 9. Therefore, the correct answer is 14, making choice B the correct answer. Choices A, C, and D can be eliminated as they do not match the correct result obtained by following the order of operations.
How many centimeters in an inch? How many inches in a centimeter?
- A. 2.54 centimeters in an inch; 0.393 inches in a centimeter
- B. 1 centimeter in an inch; 1 inch in a centimeter
- C. 1.5 centimeters in an inch; 1.5 inches in a centimeter
- D. 2 centimeters in an inch; 0.5 inches in a centimeter
Correct Answer: A
Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.
What is the formula to find the circumference of a circle?
- A. Circumference = 2πr
- B. Circumference = πr²
- C. Circumference = 2r²
- D. Circumference = r²π
Correct Answer: A
Rationale: The correct formula to find the circumference of a circle is C = 2πr, where C represents the circumference and r is the radius of the circle. Choice B, Circumference = πr², represents the formula for the area of a circle rather than the circumference. Choice C, Circumference = 2r², is incorrect as it does not involve π in the formula. Choice D, Circumference = r²π, has the terms reversed compared to the correct formula; the formula should start with the constant (2) multiplied by π, followed by the radius.
If 9.5% of a town's population of 51,623 people voted for a proposition, approximately how many people voted for the proposition?
- A. 3000
- B. 5000
- C. 7000
- D. 10000
Correct Answer: B
Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted: 51,623 * 9.5% = 51,623 * 0.095 ≈ 4,904. Therefore, approximately 5,000 people voted for the proposition. Choice A (3000), C (7000), and D (10000) are incorrect because they do not accurately represent 9.5% of the town's population.
In a fraction, which number is the numerator and which is the denominator?
- A. Numerator: top, Denominator: bottom
- B. Numerator: bottom, Denominator: top
- C. Numerator: left, Denominator: right
- D. Numerator: right, Denominator: left
Correct Answer: A
Rationale: The correct answer is A: 'Numerator: top, Denominator: bottom.' In a fraction, the numerator is the top number, representing the part of the whole being considered, while the denominator is the bottom number, indicating the total number of equal parts into which the whole is divided. Choices B, C, and D are incorrect because they provide inaccurate descriptions of the numerator and denominator positions in a fraction.