Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 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? (numerical answers expected.)

6 goldfish

Step-by-step explanation:

step 1

Find the volume of the fish tank

we know that the volume of a sphere is

we have

---> the radius is half the diameter

assume

substitute

step 2

we know that

It is recommended to have no more than 1 goldfish for every 693 cubic inches of water

so

using proportion

Find out how  many goldfish should Tyler buy for 4,187 cubic inches of water

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!