Bill and julio are selling wrapping paper for a school fundraiser. customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. bill sold 8 rolls of plain wrapping paper and 10 rolls of shiny wrapping paper for a total of $328. julio sold 9 rolls of plain wrapping paper and 2 rolls of shiny wrapping paper for a total of $184. find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper

Plain rolls: $16

Shinny rolls: $20

Step-by-step explanation:

So, we have 2 equations to start with, let p = plain rolls and s = shinny rolls:

1)  8p + 10s = 328

2) 9p + 2s = 184

We need to isolate one variable, usually I go for the one with the lowest multiplicative... so let's go for the '2s' and isolate the s from equation 2.

2s = 184 - 9p

3) s = (184 - 9p) / 2

And let's place that s equivalent into the first equation:

8p + 10 (184 - 9p)/2 = 328

8p + 5(184 - 9p) = 328

8p - 45p + 920 = 328

-37p = -592

p = 16

Then we go into any of the 3 equations to get the value of s.  Let's take the 3rd equation, it will be simpler:

s = (184 - 9p) / 2 = (184 - 9*16) / 2

s = (184 - 144)/2 = 40/2 = 20

Then last step, we enter the values for s and p in one of the first equations to validate it.  We haven't worked with first equation, so let's use that one:

8p + 10s = 328

8 (16) + 10 (20) = 328

128 + 200 = 328

328 = 328

Confirmed!

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

hiking down a winding trail.

step-by-step explanation: