Solving an equation for a rate problem stu hiked a trail at an average rate of 3 miles per hour. he ran back on the same trail at an average rate of 5 miles per hour. he traveled for a total of 3 hours. the equation 3t = 5(3 – t) can be used to find the time it took stu to hike one way. how long did it take stu to hike the trail one way?

Astudent received the following grades last semester. find the student's semester grade point average. an a is algebra (3 credits), a b in history ( 3 credits), a in sociology ( 3 credits) a d in english ( 3credits) and a c in seminar ( 2credits). an a is worth 4 points, a b is worth 3 points a c is worth 2 points and a d is worth 1 point.

Mario is constructing a frame for 10 in. by 8 in. photo. he wants the frame to be the same with all the way around in the same area of the frame and photo to be 120 square inches what is the dimension of the frame?

Find the maximum value of p= 4x + 5y subject to the following constraints :