The directions for lemonade say to put 2 cups of liquid concentrate into 1 gallon of water. if you only want to make 1 pint of lemonade, how many fluid ounces of concentrate should you use

We need 2 fluid ounces of the liquid.

Step-by-step explanation:

We have that,

Ratio for the cups and the water = 2 cups : 1 gallon.

It is required to find the number of cups to be added in 1 pint of lemonade.

Since, we know,

1 cup = 8 ounces i.e. 2 cups = 16 ounces

1 pint = 16 ounces

1 gallon = 128 ounces

Thus, we have the relation between ratio of the cups and the liquid as,

i.e.

i.e.

i.e. x = 2

Thus, we need 2 fluid ounces of the liquid.

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

false

step-by-step explanation:

false : it can not go to 9 the highest that part can go is 7

here is your proof