To solve for y in the equation 4(2y + 3) – 2(3y – 5) = 5y – 2, we can start by simplifying both sides of the equation. Distributing 4 to (2y + 3) gives us 8y + 12. Distributing 2 to (3y – 5) gives us 6y – 10. The equation now becomes 8y + 12 – 6y – 10 = 5y – 2. Combining like terms, we have 2y + 2 = 5y – 2. Subtracting 2y from both sides and adding 2 to both sides, we get 4 = 3y. Finally, dividing both sides by 3 gives us y = 4/3. Therefore, the correct answer is 4/3.

To simplify the expression 2/3 + 1/4 – 3/6, we need to find a common denominator for the fractions. The least common multiple of 3, 4, and 6 is 12. Multiplying the numerator and denominator of each fraction to have a denominator of 12, we get 8/12 + 3/12 – 6/12. Combining the numerators, we have 5/12. Therefore, the correct answer is  5/12.

The area of a triangle is calculated by multiplying the base by the height and dividing by 2. In this case, the area is 24 square units and the base is 8 units. Plugging in the values into the formula, we have 24 = (8 * h) / 2. Multiplying both sides by 2 gives us 48 = 8h. Dividing both sides by 8, we get h = 6. Therefore, the correct answer is  6 units.

The volume of a cube is calculated by multiplying the length of one side by itself three times. In this case, the volume is 125 cubic units. To find the length of one side, we take the cube root of the volume. The cube root of 125 is 5. Therefore, the correct answer is 5 units.

The area of a square is calculated by multiplying the length of one side by itself. In this case, the area is 36 square units. To find the length of one side, we take the square root of the area. The square root of 36 is 6. Therefore, the correct answer is 6 units.

The volume of a cube is calculated by multiplying the length of one side by itself three times. In this case, the volume is 64 cubic units. To find the length of one side, we take the cube root of the volume. The cube root of 64 is 4. Therefore, the correct answer is 4 units.

The area of a square is calculated by multiplying the length of one side by itself. In this case, the area is 36 square units. To find the length of one side, we take the square root of the area. The square root of 36 is 6. Therefore, the correct answer is  6 units.

To simplify the expression 2/3 – 1/4 + 5/6, we need to find a common denominator for the fractions. The least common multiple of 3, 4, and 6 is 12. Multiplying the numerator and denominator of each fraction to have a denominator of 12, we get 8/12 – 3/12 + 10/12. Combining the numerators, we have 15/12, which simplifies to 5/4. Therefore, the correct answer is 5/4.

To simplify the expression 4x – (2x + 5) + (3x – 1), we start by removing the parentheses and applying the negative sign to the terms inside. This gives us 4x – 2x – 5 + 3x – 1. Combining like terms, we have 5x – 6. Therefore, the correct answer is  5x – 6.

To solve for x in the equation 3(2x + 1) = 5(x – 3), we can start by simplifying both sides of the equation. Distributing 3 to (2x + 1) gives us 6x + 3. Distributing 5 to (x – 3) gives us 5x – 15. The equation now becomes 6x + 3 = 5x – 15. Subtracting 5x from both sides and subtracting 3 from both sides, we get x = -18. Therefore, the correct answer is  -2.

To solve for x in the equation 2(x + 5) = 3(x – 2) + 4, we can start by simplifying both sides of the equation. Distributing 2 to (x + 5) gives us 2x + 10. Distributing 3 to (x – 2) gives us 3x – 6. The equation now becomes 2x + 10 = 3x – 6 + 4. Combining like terms, we have 2x + 10 = 3x – 2. Subtracting 3x from both sides and subtracting 10 from both sides, we get -x = -12. Finally, multiplying both sides by -1 gives us x = 12. Therefore, the correct answer is 12.

To solve the equation 3(y – 2) + 2(4y + 1) = 5(y + 3) – 2, we can start by simplifying both sides of the equation. Distributing 3 to (y – 2) gives us 3y – 6. Distributing 2 to (4y + 1) gives us 8y + 2. Distributing 5 to (y + 3) gives us 5y + 15. The equation now becomes 3y – 6 + 8y + 2 = 5y + 15 – 2. Combining like terms, we have 11y – 4 = 5y + 13. Subtracting 5y from both sides and adding 4 to both sides, we get 6y = 17. Finally, dividing both sides by 6 gives us y = 17/6. Therefore, the correct answer is 7/6.

The sum of the angles in a triangle is always 180°. Given that two angles measure 40° and 70°, we can find the missing angle by subtracting the sum of the given angles from 180°: 180° – (40° + 70°) = 180° – 110° = 70°. Therefore, the correct answer is 100°.

To simplify the expression (3x – 2) + (5x + 7), we can combine like terms. Adding the coefficients of the x terms gives us 3x + 5x = 8x. Adding the constant terms gives us -2 + 7 = 5. Therefore, the correct answer is  8x + 5.

To solve the equation 2(x – 3) + 3 = 4(x + 1) – 2, we can start by simplifying both sides of the equation. Distributing 2 to (x – 3) gives us 2x – 6. Distributing 4 to (x + 1) gives us 4x + 4. The equation now becomes 2x – 6 + 3 = 4x + 4 – 2. Combining like terms, we have 2x – 3 = 4x + 2. Subtracting 2x from both sides and subtracting 2 from both sides, we get -5 = 2x. Finally, dividing both sides by 2 gives us x = -5/2. Therefore, the correct answer is -5/2.

The sum of the angles in a triangle is always 180°. Given that two angles measure 60° and 80°, we can find the missing angle by subtracting the sum of the given angles from 180°: 180° – (60° + 80°) = 40°. Therefore, the correct answer is  40°.

If the price of a shirt is $20 and it is on sale for 25% off, we need to find 25% of $20 and subtract it from the original price. 25% of $20 is (25/100) * $20 = $5. Subtracting $5 from $20 gives us $20 – $5 = $15. Therefore, the correct answer is  $15.00.

To simplify the expression (2/5) + (3/10) – (1/4), we need to find a common denominator for the fractions. The least common multiple of 5, 10, and 4 is 20. Multiplying the numerator and denominator of each fraction to have a denominator of 20, we get 8/20 + 6/20 – 5/20. Combining the numerators, we have 9/20. Therefore, the correct answer is 9/20.

To solve the equation 3(x – 2) + 4 = 2(x + 3) – 1, we can start by simplifying both sides of the equation. Distributing 3 to (x – 2) gives us 3x – 6, and distributing 2 to (x + 3) gives us 2x + 6. The equation now becomes 3x – 6 + 4 = 2x + 6 – 1. Combining like terms, we have 3x – 2 = 2x + 5. Subtracting 2x from both sides and subtracting 5 from both sides, we get x = 7. Therefore, the correct answer is 7.

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the width is 5 units. Let the length be L. The formula for the perimeter of a rectangle is P = 2(L + w). Plugging in the values, we have 28 = 2(L + 5). Dividing both sides by 2, we get 14 = L + 5. Subtracting 5 from both sides, we have L = 9. Therefore, the correct answer is  9 units.

To solve for y in the equation 2(y + 3) – 5 = 3(y – 1), we can start by simplifying both sides of the equation. Distributing 2 to (y + 3) gives us 2y + 6. Distributing 3 to (y – 1) gives us 3y – 3. The equation now becomes 2y + 6 – 5 = 3y – 3. Combining like terms, we have 2y + 1 = 3y – 3. Subtracting 2y from both sides and adding 3 to both sides, we get 4 = y. Therefore, the correct answer is  1.

The sum of the angles in a triangle is always 180°. Given that two angles measure 50° and 80°, we can find the missing angle by subtracting the sum of the given angles from 180°: 180° – (50° + 80°) = 180° – 130° = 50°. Therefore, the correct answer is  50°.

To simplify the expression (1/3) + (2/5) – (3/4), we need to find a common denominator for the fractions. The least common multiple of 3, 5, and 4 is 60. Multiplying the numerator and denominator of each fraction to have a denominator of 60, we get 20/60 + 24/60 – 45/60. Combining the numerators, we have -1/60. Therefore, the correct answer is  -1/60.

If the length of a rectangle is twice its width and the width is 4 units, the length would be 2 * 4 = 8 units. The formula for the perimeter of a rectangle is P = 2(L + w). Plugging in the values, we have P = 2(8 + 4) = 2(12) = 24 units. Therefore, the correct answer is  24 units.

To simplify the expression 3(4x – 2) – 2(3x + 5), we start by distributing the coefficients. This gives us 12x – 6 – 6x – 10. Combining the like terms, we have 6x – 16. Therefore, the correct answer is  -6x – 28.