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elena-14-01-66 [18.8K]
3 years ago
12

Need some help on one question for geometry!

Mathematics
2 answers:
NikAS [45]3 years ago
4 0

Answer:

AB = 23

Step-by-step explanation:

AC = AB + BC

(7x + 6) = (6x - 1) + (4x - 5)

7x + 6 = 6x - 1 + 4x - 5

7x + 6 = 10x - 6

-3x+ 6 = -6

-3x = -12

x = 4

AB = 6x - 1

     = 6(4) - 1

     = 24 - 1

     = 23

rjkz [21]3 years ago
3 0
It’s 40 there you go
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kicyunya [14]

Answer:

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1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

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8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

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and we have the linear system

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which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

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