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svetlana [45]
3 years ago
13

mark went to two stores to buy a shirt,pants,and shoes. he wants to know which store has the better deal. ( item:shirts $23.89,p

ants $15.67,shoes $9.99 John's store) ( item: shirts $21.35,pants $12.45,shoes $12.99 sam's store) these are the questions:A. which store has the better deal? prove it. B. if mark has 3 twenty dollars bills ,what would the change be form the store that had the better deal? C. if mark bough 2 pants for m the store that had the better deal, what would his total cost be?
Mathematics
1 answer:
Mumz [18]3 years ago
3 0
If he is only buying one of each, then his total cost from each store would be: 

John's: $23.89 + $15.67 + $9.99 = $49.55
Sam's: $21.35 + $12.45 + $12.99 = $46.79

So, Sam's has the better deal (proof above). 

If he has 3 twenty dollar bills, then he has $60.
His change would be:

$60 - $46.79 = $13.21

If he bought two pants from Sam's (the store with the better deal), then his total would be:
<span>
(2)($21.35) + $12.45 + $12.99 = $68.14</span>
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Step-by-step explanation:

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Ax^2+Bxy+Cy^2+Dx+Ey+F=0

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x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

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(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

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-15D + 14E + F = -421

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-15D + 14E + F = -421

33D           + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

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Now plug the values for both D and E into (1) to find F:

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