A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field?

w = 57.5 yards

l = 169.5 yards

P = 2w + 2l

466 = 2w + 2l

l = 3w - 3

466 = 2w + 2(3w - 3)

466 = 2w + 6w - 6

466 - 6 = 8w

8w = 460

w = 460 : 8

w = 57.5 yards

l = 3w - 3

= 3×57.5 - 3

= 169.5

l = 169.5 yards

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4