A factory manufacturers a metal piece in 32 minutes. New technology allowed the factory to cut the time by 8%. The anther improvement cut the time by 5%.How long does it take to manufacture the piece now ? Round your answer to the nearest minute

28 minutes

Step-by-step explanation:

new length of time = percent reduction x initial time

percent reduction = 100 - 8 = 92%

0.92 x 32 = 29.44

New time after final reduction

(100 - 5%) x 29.44

27.96 = 28 minutes

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

a is the right answer