Mix some of the $5.50 per pound with 100 pounds of $6.25 per pound to get a $6 per pound mix

x lbs * 5.5 + 100 lbs * 6.25 = (x+100) * 6.00

distribute

5.5x + 625 = 6x+600

subtract 5.5 x from each side

625 = .5x +600

subtract 600 from each side

25 = .5x

divide each side by .5

x = 100

You need 100 pounds of the 5.50 mix

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)