Please answer soon If you answer within five minutes of me posting you automatically get brainliest (if it’s correct) at first I got -15 but that wouldn’t work right? HELP PLEASEEE

1500 cans

Step-by-step explanation:

Hi there!

In this problem Dennis can either bring cans to the supermarket or to the recycling center.

If Dennis brings cans to the supermarket, he'll earn 5 cents per can. That means that if Dennis brings c cans, he'll receive 0.05c dollars (as we're talking about cents, it'll be written as 0.05, not 5).

Dennis can also bring cans to the recycling center. He'll earn 6 cents there, but he needs to pay a $15 fee.

In that case, c cans will allow Dennis to earn 0.06c dollars, but as Dennis needs to pay $15 every time he goes to the recycling center, he'll be LOOSING $15. Hence, going to the recycling center will be 0.06c-15

We want to figure out how many cans Dennis will need to return to receive the same amount of money from both the supermarket and the recycling center. So that means that 0.05c will have to equal 0.06c-15 (it'll be the same amount of money).

That means as an equation:

0.05c=0.06c-15

Subtract 0.06c from both sides

-0.01c=-15

Divide both sides by -0.01

c=1500

You can plug 1500 as c in the equation to double check:

0.05(1500)=0.06(1500)-15

75=90-15

75=75

It works!

So Dennis will need to bring 1500 cans to get the same amount of money at both places

Hope this helps!

312312

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be