Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10.

Step-by-step explanation:

the eqn is 3x-2y+10=0

slope m=-3/-2=3/2 (m=(-xcoeff/ycoeff)

eqn is

y-y1=m(x-x1)

y+5=3/2(x-2)

2y+10=3x-6

3x-2y-16=0

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Step-by-step explanation:

Given

Total length of one roll of ribbon = 9 feet

As the pieces have to be cut into inches, we will convert the measurement in feet to inches

As there are 12 inches in one feet, 9 feet will be equal to:

9*12 = 108 inches

Now first of all, we have to see how many 15 inches pieces can be cut from one role

So,

So the seamstress can cut 7 15-inch long pieces from a roll.

Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

Hence,

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35