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MrRissso [65]
3 years ago
6

Please help me ASAP thank you

Mathematics
2 answers:
Allisa [31]3 years ago
5 0

101+ 6x-5=180

6x=84

x=14

hope this helps!

melisa1 [442]3 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

Since m || n, the two adjacent angles (101° and (6x-5)) must add up to 180°.

180° - 101° = 79°. Therefore, 6x - 5 = 79.

Add 5 to both sides, and the equation is 6x = 84.

Then divide both sides by 6 to get x = 14.

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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
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Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

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R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

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$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

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∴   $x=\frac{450}{264}=\frac{75}{44}$

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So, x ≈  $ 1.70      and    y = $ 1.99

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Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

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