For your trouble answering this, you will get 30 points. for all the trouble this may cause. A: 2 cups concentrate, 3 cups of cold water
B: 5 cups concentrate, 9 cups of cold water
C: 1 cup concentrate, 2 cups of cold water
D: 3 cups concentrate, 5 cups of cold water.

A1: which mix will make juice that is the most "orangey"? explain your reasoning.
A2: Which mix will make juice that is the least "orangey"? explain your reasoning.

C: assume that each camper will get ½ cup of juice. answer questions (1) and (2) below for each of the four recipes.

1: how many batches are needed to make juice for 240 campers?
2: How much concentrate and how much water is needed to make juice for 240 campers?

read below

Step-by-step explanation:

A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work s A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.

A2: C

1 cup of concentrate vs 2 water the water will make it MUCH more of a clear color.

Question C: this is more time consuming and I am tired so for you this might be easier if you're not as tired so based on what I'm reading you need to do math for each of the 4 options above, concentrate and water mix, and then divide the total of the 2 types of cups for every option.

Hope Q1 and Q2 helped though!

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

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step-by-step explanation: