Nokea
What is the solution to the equation 4y - 6 = 14? Solve for y.
- A. 4
- B. 5
- C. 6
- D. 7
Correct Answer: B
Rationale: To solve the equation 4y - 6 = 14 for y, isolate y by adding 6 to both sides: 4y = 14 + 6 => 4y = 20. Then, divide by 4 to solve for y: y = 20 · 4 = 5. Therefore, the correct answer is 5. Choice A is incorrect as it does not represent the correct solution to the equation. Choice C is incorrect as it is not the solution obtained after correctly solving the equation. Choice D is incorrect as it is not the correct solution to the given equation.
You may also like to solve these questions
The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
- A. 36 cm
- B. 46 cm
- C. 51 cm
- D. 56 cm
Correct Answer: A
Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?
- A. $12.05
- B. $11.05
- C. $10.00
- D. $13.50
Correct Answer: A
Rationale: Robert spent a total of $7.95 on three comics ($2.65 each). When he paid with a $20 bill, the change he received can be calculated by subtracting the total cost from the payment amount: $20 - $7.95 = $12.05. Therefore, Robert received $12.05 in change. Choice B ($11.05) is incorrect because it doesn't reflect the correct calculation. Choice C ($10.00) is incorrect as it doesn't consider the total cost of the comics. Choice D ($13.50) is incorrect as it overestimates the change Robert received.
If a person wants to plant 65,536 trees so that the number of rows equals the number of trees in each row, how many trees should they plant in each row?
- A. 1684
- B. 1268
- C. 668
- D. 256
Correct Answer: D
Rationale: To plant 65,536 trees with the same number of rows and trees in each row, you need to calculate the square root of 65,536. The square root of 65,536 is 256. Therefore, planting 256 trees in each row would result in 256 rows with 256 trees in each row, totaling 65,536 trees. Choices A, B, and C are incorrect as they do not provide the correct calculation based on the requirements of the question.
How many ounces are in a gallon?
- A. 120 oz
- B. 128 oz
- C. 100 oz
- D. 105 oz
Correct Answer: B
Rationale: The correct answer is B: 128 oz. There are 128 ounces in a gallon. This is a standard conversion factor in the US customary system. Choices A, C, and D are incorrect because they do not reflect the accurate conversion of ounces in a gallon.
What is the least common multiple (LCM) of 4 and 6?
- A. 24
- B. 12
- C. 6
- D. 3
Correct Answer: A
Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.