Write a system of equations to describe the situation below, solve using any method,
and fill in the
blanks.

In a paint factory, an old conveyer
line has filled 32 barrels of paint,
and is filling more at a rate of 7
barrels per minute. A worker just
switched on a newer line that can fill9 barrels per minute. In a little
while, the two lines will have filled an equal number of barrels. How
long will that take? How many
barrels will each line have filled?

Please help

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =