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Alexxandr [17]
2 years ago
13

1. Identify your variables using let statements.

Mathematics
1 answer:
Advocard [28]2 years ago
7 0

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

#SPJ1

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Answer:

m=\frac{2A-kn}{k}

Hence, option C is true.

Step-by-step explanation:

Given the expression

A=\frac{k}{2}\left(m+n\right)

Solving for 'm'

A=\frac{k}{2}\left(m+n\right)

Flip the equation

\frac{k}{2}\left(m+n\right)=A

Expanding by applying the distributive law: a\left(b+c\right)=ab+ac

\frac{1}{2}km+\frac{1}{2}kn=A

Add (-1)/2 × kn to both sides

\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A

simplify

\frac{1}{2}km=-\frac{1}{2}kn+A

Divide both sides by k/2

\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}

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m=\frac{2A-kn}{k}

Hence, option C is true.

7 0
3 years ago
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Answer:

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