Paula wants to add some more tropical fish to her aquarium. She wants to buy some Blue Gouramis, which cost $2.50 each, and some Clown Loaches, which cost $5.50 each. She has room for only 6 more fish and she has $24.00 to spend. How many of each kind of fish can she buy? Identify the problem:

A. What size Aquarium does she need?
B. What is the most expensive kind of fish to put in an aquarium?
C. Which fish is bigger?
D. Will the fish survive together?
E. How many of each fish can she buy?​

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

3

step-by-step explanation:

3