Using the quadratic formula, x = (-b ± √(b² - 4ac)) / 2a, where a = 1, b = -5, and c = 6, we get x = (5 ± √(25 - 24)) / 2 = (5 ± 1) / 2. Therefore, x = 2 or x = 3.

The first train travels for 1 hour before the second train leaves. In that time, it travels 70 mph * 1 hour = 70 miles. Therefore, the distance between the two trains at 11:00 AM is 900 miles - 70 miles = 830 miles. The two trains are traveling towards each other at a combined speed of 70 mph + 80 mph = 150 mph. Therefore, they will meet in 830 miles / 150 mph = 5.53 hours after 11:00 AM, which is 2:00 PM.

There are 60 women and 40 men in the company. 20% of the women are promoted, which is 0.2 * 60 = 12 women. 30% of the men are promoted, which is 0.3 * 40 = 12 men. Therefore, the total number of employees promoted is 12 + 12 = 24.

The area of a rectangle is length * width. Therefore, (x + 2)(x - 3) = 24. Expanding the brackets, we get x^2 - x - 6 = 24. Rearranging, we get x^2 - x - 30 = 0. Factoring, we get (x - 6)(x + 5) = 0. Therefore, x = 6 or x = -5. Since the length of the garden cannot be negative, x = 6.

In the code, each letter is represented by its position in the alphabet. For example, 'A' is represented by '1', 'P' is represented by '16', and so on. Therefore, 'ORANGE' is coded as '0151897'.

The discount is 20% of $20, which is 0.2 * $20 = $4. Therefore, the sale price of the shirt is $20 - $4 = $16.

Let the distance between City A and City B be x miles. The time taken for the journey from City A to City B is x / 60 hours, and the time taken for the journey from City B to City A is x / 75 hours. The total time taken for the round trip is the sum of these two times, which is (x / 60) + (x / 75) = 5 hours. Solving for x, we get x = 200 miles.

There are 60 women and 40 men in the company. 20% of the women are promoted, which is 0.2 * 60 = 12 women. 30% of the men are promoted, which is 0.3 * 40 = 12 men. Therefore, the total number of men promoted is 12.

The area of a rectangle is length * width. Therefore, the area of the room is 12 feet * 8 feet = 96 square feet.

The first train travels for 1 hour before the second train leaves. In that time, it travels 70 mph * 1 hour = 70 miles. Therefore, the distance between the two trains at 11:00 AM is 900 miles - 70 miles = 830 miles. The two trains are traveling towards each other at a combined speed of 70 mph + 80 mph = 150 mph. Therefore, they will meet in 830 miles / 150 mph = 5.53 hours after 11:00 AM, which is 2:00 PM.

There are 60 women and 40 men in the company. 20% of the women are promoted, which is 0.2 * 60 = 12 women. 30% of the men are promoted, which is 0.3 * 40 = 12 men. Therefore, the total number of employees promoted is 12 + 12 = 24.

The area of a rectangle is length * width. Therefore, (x + 2)(x - 3) = 24. Expanding the brackets, we get x^2 - x - 6 = 24. Rearranging, we get x^2 - x - 30 = 0. Factoring, we get (x - 6)(x + 5) = 0. Therefore, x = 6 or x = -5. Since the length of the garden cannot be negative, x = 6.

In the code, each letter is represented by its position in the alphabet. For example, 'A' is represented by '1', 'P' is represented by '16', and so on. Therefore, 'ORANGE' is coded as '0151897'.

The discount is 20% of $20, which is 0.2 * $20 = $4. Therefore, the sale price of the shirt is $20 - $4 = $16.

Let the distance between City A and City B be x miles. The time taken for the journey from City A to City B is x / 60 hours, and the time taken for the journey from City B to City A is x / 75 hours. The total time taken for the round trip is the sum of these two times, which is (x / 60) + (x / 75) = 5 hours. Solving for x, we get x = 200 miles.