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3 years ago

11

At a concession stand, seven hot dog(s) and four hamburger(s) cost $14.00; four hot dog(s) and seven hamburgers(s) cost $16.25.

Find the cost of one hot dog and the cost of one hamburger.

2 answers:

kotykmax [81]3 years ago

7 0

One hamburger cost 2.32

lisabon 2012 [21]3 years ago

3 0

Hotdogs cost $1.75 each and hamburger $1

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Answer:

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Step-by-step explanation:

Given

Vertices

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WE have to determine the lengths of all sides before finding the perimeter and area.

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$d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\$

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$s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units$

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