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miv72 [106K]
3 years ago
12

Nine less than four times a number is the same as nineteen

Mathematics
2 answers:
BaLLatris [955]3 years ago
5 0

Answer:

x= 7, the number is 7

Step-by-step explanation:

4x-9= 19

  • Add 9 to both sides

4x=28

  • Divide each side by 4

x=7

Lemur [1.5K]3 years ago
5 0

Answer:

4x - 9 = 19

Step-by-step explanation:

We can represent 4 times any numbers as 4x.

Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.

They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.

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Advocard [28]

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

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