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Andrei [34K]
3 years ago
11

-2x+3y=-12 2x+y=4 After adding the two equations to eliminate x you are left with 4y=-8 solve for y

Mathematics
2 answers:
natita [175]3 years ago
3 0

-2x+3y=-12 2x+y=4

add together

4y = -8

divide by 4

y = -2


slamgirl [31]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

edge 2020

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tatuchka [14]
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7 0
3 years ago
The number of freshman at George Washington high school is 60 greater than the number of sophomores. If there are 1250 students
solmaris [256]

Answer:

Hence total number freshman presented are 655.

The system is relative system as there is correlation between freshman and

sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>

Step-by-step explanation:

Given:

1250 total students of sophomores and freshman.

To Find:

freshman count and its type of system used.

Solution:

We have that ,

consider x be the no.of freshman and y be the sophomores

So by given condition,

x+y=1250        ,..............................Equation(1)

And other one,

x=60+y

Use above value in equation (1) we get ,

60+y+y=1250

2y=1250-60

y=595

Now number of freshman ,

x+y=1250

x=1250-595

x=655

Hence total number freshman presented are 655.

The system represent the relative proportion system.The break even and total value should include all students in university .

Relative means in relationship with one another .

As there are 60 more number of freshman than the sophomores.

3 0
3 years ago
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
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

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

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

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

$R_x=0$

$68x-8y=100$  .............(i)

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

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

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

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

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The answer is A I believe.
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hope it helps u :) ......

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2 years ago
Read 2 more answers
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