Lisa bought a tank for her hermit crab. the tank can hold 1,331 cubic inches of water and includes a top. the base fo the aquarium is a square. the height of the aquarium is 11 inches. a. what is the length of each side of the base of the tank

11 in

Step-by-step explanation:

All we care about here is volume, not area.  So the top is irrelevant.

The volume of a rectangular tank with a square bottom, b, and height, h, is

V = b²h = 1,331 in³                       1,331 in³

Then b² = area of the base  = = 121 in²

                                                    11 in

The square of the length of any one side of the base is 121 in².

Taking the square root of this yields 11 in.

The length of each side of the base is 11 in.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1