a business has $15,000 to spend on airline tickets to travel to a conference. it wants 27 of its employees to attend. the business wants to buy as many business-class seats as possible. the business-class seats cost $700. the economy-class seats cost $375. create a system of equations that models how many of each type of ticket the business should purchase.

a 700x + 375y = 27
x + y = 15,000

b x + 375y = 15,000
700x + y = 27

c 700x + y = 15,000
x + 375y = 27

d 700x + 375y = 15,000
x + y = 27

The answer is D because it shows the proper equations for both the number of people and the cost.

idk

step-by-step explanation:

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