The drama club is running a lemonade stand to raise money for it's new production. a local grocery store donated cans of lemonade and bottles of water. cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. the club needs to raise at least $500 to cover the cost of renting costumes. the students can accept a maximum of 360 cans and bottles.) write a system of inequalities that can be used to represent this situation.) quick i'm being timed

Here's what I get.

Step-by-step explanation:

You have two conditions.

1. The club must raise at least $500, and that comes from the sale of lemonade and water.

Let c = cans of lemonade

and b = bottles of water

Then the first condition is

(1) 2c + 1.50b ≥ 500

2. The club can accept a maximum of 360 cans and bottles

Your second condition is

(2) c + b ≤ 360

Your system of inequalities is

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

27

step-by-step explanation: