The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 12 units and the width is 5 units. Multiplying 12 by 5 gives us 60 square units. Therefore, the correct answer is 60 sq units.

To find the equivalent fraction to 3/5, we need to multiply both the numerator and denominator by the same non-zero number. Multiplying 3 by 2 gives us 6, and multiplying 5 by 2 gives us 10. Therefore, the equivalent fraction is 6/10. So, the correct answer is  6/10.

To find the value of x in the equation 3x + 5 = 20, we need to isolate x. Subtracting 5 from both sides of the equation gives us 3x = 15. Finally, dividing both sides by 3 gives us x = 5. So, the correct answer is 5.

To evaluate the expression 5 + (3 – 2) × 4 ÷ 2, we need to follow the order of operations (also known as PEMDAS or BODMAS). First, we simplify the parentheses: 3 – 2 = 1. Next, we perform the multiplication: 1 × 4 = 4. Finally, we perform the division: 4 ÷ 2 = 2. Adding 5 to 2 gives us 7. Therefore, the correct answer is  9.

To determine the smallest fraction, we need to compare the fractions' numerators and denominators. The smaller the numerator and the larger the denominator, the smaller the fraction. Comparing the fractions given, we can see that 2/3 has the smallest numerator (2) and the largest denominator (3). Therefore, the correct answer is 2/3.

In a triangle, the sum of all angles is always 180°. Given that one angle measures 30° and another angle measures 60°, we can find the missing angle by subtracting the sum of the known angles from 180°. Therefore, the missing angle is 180° – (30° + 60°) = 90°. So, the correct answer is   90°.

Average speed is calculated by dividing the total distance traveled by the time taken. In this case, the car traveled 180 kilometers in 3 hours. Dividing 180 by 3 gives us an average speed of 60 kilometers per hour. So, the correct answer is  60 km/h.

To simplify the expression 5x – 3 + 2x + 8, we combine like terms. The like terms are 5x and 2x, which add up to 7x. Similarly, -3 and 8 add up to 5. So, the simplified expression is 7x + 5. Therefore, the correct answer is 7x + 5.

To simplify the expression 3(2x + 4) – 2(3x – 1), we apply the distributive property. Multiplying 3 by (2x + 4) gives us 6x + 12. Similarly, multiplying 2 by (3x – 1) gives us 6x – 2. Combining the terms, we have 6x + 12 – (6x – 2). Simplifying further, we get 6x + 12 – 6x + 2 = 14. Therefore, the correct answer is  12x + 2.

In a triangle, the sum of all angles is always 180°. Given that one angle measures 45° and another angle measures 60°, we can find the missing angle by subtracting the sum of the known angles from 180°. Therefore, the missing angle is 180° – (45° + 60°) = 75°. So, the correct answer is 75°.

To solve for x in the equation 2(x – 3) + 4 = 10 – 3x, we can start by simplifying both sides of the equation. Distributing 2 to (x – 3) gives us 2x – 6, and distributing -3 to 3x gives us -9x. The equation now becomes 2x – 6 + 4 = 10 – 9x. Combining like terms, we have 2x – 2 = 10 – 9x. Adding 9x to both sides and adding 2 to both sides, we get 11x = 12. Finally, dividing both sides by 11 gives us x = 12/11. Therefore, the correct answer is 12/11.

To find the value of y in the equation 4/9 = y/36, we can cross-multiply. Multiplying 4 by 36 gives us 144, and multiplying 9 by y gives us 9y. The equation now becomes 144 = 9y. Dividing both sides by 9 gives us y = 16. Therefore, the correct answer is  16.

The probability of randomly selecting a blue marble can be found by dividing the number of blue marbles (15) by the total number of marbles (25 + 15 + 10 = 50). So, the probability is 15/50, which can be simplified to 3/10. Therefore, the correct answer is 1/3.

To solve the equation 2(x – 4) = 3x + 5, we can start by distributing 2 to (x – 4), which gives us 2x – 8. The equation now becomes 2x – 8 = 3x + 5. Next, we can simplify by subtracting 2x from both sides, which gives us -8 = x + 5. Finally, subtracting 5 from both sides gives us -13 = x. Therefore, the correct answer is -13.

To simplify the expression 2(x + 3) – 3(2x – 1), we apply the distributive property. Multiplying 2 by (x + 3) gives us 2x + 6. Similarly, multiplying -3 by (2x – 1) gives us -6x + 3. Combining the terms, we have 2x + 6 – (6x – 3). Simplifying further, we get 2x + 6 – 6x + 3 = -4x + 9. Therefore, the correct answer is  -x – 5.

To multiply fractions, we multiply the numerators together and the denominators together. So, (2/3) × (6/7) = (2 × 6) / (3 × 7) = 12/21. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. Simplifying gives us 4/7. Therefore, the correct answer is  4/7.

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the rectangle has a length of 8 cm and a width of 5 cm. The formula for the perimeter of a rectangle is P = 2(l + w). Plugging in the values, we get P = 2(8 + 5) = 2(13) = 26 cm. Therefore, the correct answer is 26 cm.

Average speed is calculated by dividing the total distance traveled by the time taken. In this case, the car traveled 240 kilometers in 4 hours. Dividing 240 by 4 gives us an average speed of 60 kilometers per hour. So, the correct answer is  60 km/h.

The probability of randomly selecting a green ball can be found by dividing the number of green balls (10) by the total number of balls (30 + 20 + 10 = 60). So, the probability is 10/60, which can be simplified to 1/6. Therefore, the correct answer is  1/6.

To solve for y in the equation 4(y + 2) = 32, we can start by distributing 4 to both terms inside the parentheses. This gives us 4y + 8 = 32. Next, subtracting 8 from both sides of the equation gives us 4y = 24. Finally, dividing both sides by 4 gives us y = 6. Therefore, the correct answer is  6.