QUESTION 39

This year I will have 180 hours free in which I can watch TV or watch movies. Each movie lasts 2 hours, and I'll be able to watch each TV show for 20 hours. I have $600; each movie costs $10 and each TV show costs $40.

Let x equal the number of movies watched and y equal the number of TV shows watched

Suppose I make 5 new friends every time I watch a TV show and I make 1 new friend every time I watch a movie. How many movies should I watch and TV shows should I buy this year to maximize the number of new friends I make?

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

a

step-by-step explanation:

the answer is a

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

many reason,

step-by-step explanation: