1 Chris decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $4.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $40 before tax. The restaurant only sells pancakes in stacks of 6 pancakes for $7.50.

Let S represent the number of stacks of pancakes that Chris buys.

Write an inequality to describe this scenario

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

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right

step-by-step explanation: