two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9. what is the number? define your variable(s), generate your equation(s), and solve the application problem.

If there were 49825 births in one year of a population of 2.2 million, how many births were there per 1000 people?

Find the dimensions of the rectangle with the largest area that can be inscribed in an equilateral triangle of side 5.5 inches if one side of the rectangle lies on the base of the triangle.

The length of a rectangle is 15cm more than its width.A second rectangle whose perimeter is 72cm is 5cm wider but 2cm shorter than the first rectangle.what are the dimensions of each rectangle?

A pool is filled by two pipes. It takes the first pipe 2 hours more and the second pipe 4 hours more to fill it than both pipes at the same time. The book says that the first pipe fills the pool in 5 hours and the second one in 7.5 hours, so I think I did something wrong. Anyway, here's what I...