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Allisa [31]
3 years ago
10

A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests ever

y year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

ra1l [238]3 years ago
5 0

Answer:

Edmentum/Plato

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-3x-y=-17 4x + 2 y equals 20
ExtremeBDS [4]
-3x - y = -17
4x + 2y = 20

multiply one part of the equation so that we can be able to use the process of elimination.

(-3x - y = -17)2
4x + 2y = 20

Now we have:

-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14

Divide -2 on both sides.

-2x = -14
/-2       /-2

x = -7.


=============================================

To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20


4x + 2y = 20

4(-7) + 2y = 20

-28 + 2y = 20

Add 28 on both sides

-28 + 2y = 20
+28          +28
---------------------
2y = 48
/2      /2

y = 24.


The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.

You may have to do this by yourself :P

Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!










4 0
2 years ago
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the
wariber [46]
2/10. 3-1/10 = 2/10.
7 0
2 years ago
The drama club you are part of is hosting a pancake breakfast. You are in charge of buying the sausage, which costs $5 per pound
antiseptic1488 [7]

Answer:

<h2>C.</h2>

Step-by-step explanation:

Look at the pictures.

x - sausage

y - bacon

A. 20 pounds of sausage and 90 pound of bacon

x = 20 → y = 100 > 90

B. 40 pound of sausage and 40 pound of bacon

x = 40 → y = 75 > 40

C. 60 pound of sausage and 80 pound of bacon

x = 60 → y = 50 < 80

D. 80 pound of sausage and 20 pound of bacon​

x = 80 → y = 25 > 20

4 0
3 years ago
Read 2 more answers
Boris has ridden 21 miles of a bike course. The course is 30 miles long. What percentage of the course has Boris ridden so far?
snow_lady [41]

Answer:

70%

Step-by-step explanation:

21/30 * 100 = 70%

3 0
2 years ago
(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)
ICE Princess25 [194]

Answer:

x = -1

Step-by-step explanation:

7 0
3 years ago
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