20 points and for those whom can answer correctly!

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pb& p sells peanut butter and pickle sandwiches. the standard special sells for $2 and the deluxe special sells for $4.50. when all related business expenses are included, the standard special costs $0.50 to prepare and the deluxe special costs $1.25 to prepare.

last monday, pb& p sold at least $200 worth of standard and deluxe peanut butter and pickle sandwich specials and its expenses were no more than $100. at least 30 standard special were sold.

let x be the number of standard specials sold last monday and y be the number of deluxe specials sold last monday.

which ordered pairs representing a combination of standard specials and deluxe specials could have been sold last monday and make sense in the context of the situation?

select each correct answer.

(80,40.5)

(40,60)

(50.5,40)

(60,70)

(30,68)

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there can be more than one answer explain why you chose what you chose when you answer.

answer: let x be the number of standard specials sold last monday and y be the number of deluxe specials sold last monday.  

the standard special sells for $2, then x standard specials cost $2x.

the deluxe special sells for $4.50, then y   deluxe specials cost $4.50y.

1. last monday, pb& p sold at least $200 worth of standard and deluxe peanut butter and pickle sandwich specials. this means that

2x+4.50y≥200.

2.   when all related business expenses are included, the standard special costs $0.50 to prepare, then x standard specials cost $0.50x.

when all related business expenses are included, the deluxe special costs $1.25 to prepare, then y deluxe specials cost $1.25y.

expenses were no more than $100, then

0.50x+1.25y≤100.

3. at least 30 standard special were sold, then x≥30.

4. graph all these inequalities (see attached diagram). as you can see only point (60,70) doesn't belong to needed region.

answer: all points except point (60,70)

step-by-step explanation:

answer:

because this problem is so long, here is a link that will . {it isn't my answer, but it's a darn good answer that's for sure}.

step-by-step explanation:

(for this link, you are gonna have to scroll down a bit).

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.

the answer to this question is 3/19

step-by-step explanation: