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trapecia [35]
3 years ago
9

The owner of a new restaurant is designing the floor plan, and he is deciding between two different seating arrangements. The fi

rst plan consists of 10 tables and 25 booths, which will seat a total of 225 people. The second plan consists of 10 tables and 21 booths, which will seat a total of 197 people. How many people can be seated at each type of table?
Mathematics
1 answer:
podryga [215]3 years ago
5 0

An equation is formed of two equal expressions. The number of people that can sit at a table is 6.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of people that can be seated at a table be represented by x, while the number of people that can be seated in a booth is y.

The equation for the two floor plans can be written as,

24x + 11y = 254

12x + 17y = 242

Solving the above equations, by plotting the two of the given equations. Therefore, the number of people that can sit at a table is 6.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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Do the equations 5y-2x=18 and 6x=-4y-10 form a system of linear equations?
Aneli [31]
Yes, because 5y-2x=18 and 6x=-4y-10 are both linear equations in the same variables, they form a system of linear equations.
8 0
2 years ago
Dakota read 130 pages over the weekend. Dajuan read 165 pages over the weekend. Which prime number do the prime factorization of
Amanda [17]

In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.

Prime factors of 130 can be found as:

130 is a composite number because it has factors other than 1 and itself.

It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.

The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.

The prime factors of 130 are 2, 5, and 13.

Prime factors of 165 can be found as:

165 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.

The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.

The prime factors of 165 are 3, 5, and 11.

Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.

6 0
4 years ago
A class of 28 students can complete 896 math problems in one day how many problems does each student complete
maksim [4K]

Answer:

<em>32</em>

Step-by-step explanation:

Assuming they all complete it at the same rate,

<u>896/28 = 32</u>

3 0
4 years ago
Solve this please and explain how you do it thank you
andrew11 [14]

Answer:

Step-by-step explanation:

7x=14

X=2

5 0
3 years ago
The average person's
OLga [1]

Answer:

20

Step-by-step explanation:

The answer would be 20 due to the fact that it would have to be 50 divided by 2.5 to get the answer of how many steps and 50 divided by 2.5 would equal 20

4 0
3 years ago
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