If p, q,and r, are any three collinear points such that q lies between p and r find the value of x if pr = 5 x, pq =10, and qr = 3x-2.

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?