12 gallons of water fill a tank to 3\4 capacity.
a . what is the capacity of the tank?
b .if the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank.

A. 16, B.32

Step-by-step explanation:

A.

We will say that is the total capacity of the tank.

Since 12 gallons of water fill the tank to 3/4 capacity, we know that 12 gallons is 3/4 of the total capacity. Hence,

.

The last equation tells us that .

B.

We will say that D is the number of half-gallon bottles that can be filled with the water of the tanke, note that D times 1/2 must be the total capacity of the tank. Hence,

and so, we get that

Shalloms/ Hello

Step-by-step explanation:

-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

77

step-by-step explanation: