Rick bought some tetra fish and goldfish for his fish tank. he bought twice as many goldfish as he did tetras. each goldfish costs $1.50, and each tetra fish costs $2.00. he spent $20 on the fish. which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?

2x = y

2x + 1.5y = 20

Step-by-step explanation:

x represents the number of tetra fish

y represents the number of goldfish

Rick bought twice as many goldfish as he did tetra so multiply 2 by the number of tetra fish to get the number of goldfish or 2x = y

Tetra fish cost $2.00 each

Goldfish cost $1.50 each

Rick spent $20 on fish so $2 multiplied by number of tetra fish + $1.50 multiplied by number of goldfish will equal $20 (total spent on fish) or

2x + 1.5y = 20

-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