A local foundation organized a lunch party for all the kids in the community. They ordered a total of 500 burger meals. They ordered plain burgers at $1.75 each cheeseburgers at $2.50 each, and chicken burgers
at $3.20 each. They ordered mostly cheeseburgers, and 100 fewer chicken burgers than plain burgers. The total order came to $1.172.50.
Define the variables and write a system of equations to represent the
situation.

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Solve for p.


3(p + q) = p


A. q = â€"two-thirds

B. q = â€"start fraction three over two end fraction

C. p = â€"two-thirds

D. p = â€"start fraction three over two end fraction


Solve for b, then find the value of b when a = 3.


4a = 2b â’ 7

A. â€"nine-halves

B. five-halves

C. nineteen-halves

D. 17


d = rt

A. r = dt

B. r equals t over d

C. r equals d over t

D. r equals d minus t


Find the width of a rectangle with a perimeter of 90 and a length of 15.

A. 90

B. 15

C. 45

D. 30

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8. Melody subscribes to a coffee service. For $10 a month, Melody is able to purchase a cup of coffee for the
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(D)
Which answer choices best describe the domain and range of f?
Choose TWO correct answers from the 5 choices.
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The range of the function is {10, 12, 14, 16, 18, 20, 22}
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А A
v brex noswiad girlanousion seri seworla data

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solve pls brainliest!

Again I need help thank you :)

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For how many

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4
3
2
1
3
-2
-1
1
- 1
2
3 4
2
3
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Find the slope of the line graphed.
My Answer:

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Question 10 (5 points)

Seven values on the number line above are marked with letters. Match the opposites.
Question 10 options:

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B) F and H; Y and Y

C) C and L; A and K

D) A and K; F and H

Help would be really helpful !

8. A cyclist can travel 18.6 miles in 3 hours. At this rate, how far can the same cyclist travel in 30 minutes?
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NUMBER 3!!!!!!!!!!!!!!!!!

easy question - giving brainly is correct and work is shown!
click on the file to see the question. YOU MUST USE A PROPORTION TO SOLVE.​

Subtract 85 - 43. Simplify the answer and write as a mixed number?

At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.

A) At what membership price, p, is the revenue maximized?
p=$??. Round your answer to 2 decimal places.

B) What is the maximum annual revenue?
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Note: Round all coefficients of your revenue function to 2 decimal places.

Please help!! Will make brainliest!

PLEASE HELP WILL MARK BRAINLIEST!

Can someone help me out please.