Tyler is building a fish tank in the shape of a sphere that has a diameter of 18 inches. based on tyler's research, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water. how many goldfish should tyler buy for his fish tank?
answer!

The maximum number of goldfish should Tyler buy for the tank is 4

Step-by-step explanation:

step 1

Find the volume of the tank

we know that

The volume of the sphere is equal to

we have

-----> the radius is half the diameter

assume

substitute

step 2

Find many goldfish should Tyler buy for his fish tank

using proportion

The maximum number of goldfish should Tyler buy for the tank is 4

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".