Mr. Sánchez has a flowerpot a shape as a rectangular prism the base area of the flowerpot is 72 square inches and the height is 7/12 inches, What is the total volume of soil needed to completely fill the flowerpot

The total volume of soil needed to completely fill the flower pot is 42 cubic inches

Step-by-step explanation:

Here in this question, we want to calculate the total volume of soil needed to completely fill the flower pot.

Mathematically, this total volume is same as the volume of the flower pot.

The volume of the flower pot is = The base area of the flower pot * height of the flower pot

From the question, the base area of the flower pot is 72 square inches while the height of the flower pot is 7/12 inches

Thus, mathematically by substitution,

the total volume of soil needed = 72 square inches * 7/12 inch = 42 cubic inches

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

{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