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creativ13 [48]
3 years ago
12

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Duncan shipped 10 small boxes and 9 medi

um boxes, which cost him $149 to ship. Meanwhile, Hannah shipped 7 small boxes and 1 medium box, and paid $46. How much does it cost to ship these two sizes of box?
Mathematics
2 answers:
madreJ [45]3 years ago
5 0

Answer:

298

Step-by-step explanation:

nadezda [96]3 years ago
4 0
844677$bubjnuncidnxisbixbsixnisnxisbfibeufbrinfuenfudbucnrucbeibfe
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Buckle up, this one was a long one. 

I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x). 

Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x. 

To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x). 

Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1. 

Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1. 

Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.

Set each polynomial equal to 1/24 to get you possible answers for what x can be. 

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x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24


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