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Ipatiy [6.2K]
3 years ago
10

There are 1,845 seats in auditorium. The auditorium has 15 sections with the same number of seats in each section. How many seat

s are in each section? Explain how you could estimate the answer before solving.
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0
1,845 seats in the auditorium divided by the 15 sections will give you 123

There are 123 seats in each section
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Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

y\leq 40-x....(1)

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First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

y=-x+40...(3)

y=x-20...(4)

Adding equation (3) and (4) we get

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Substitute y=10 in equation (3) we get

10=40-x

x=40-10=30

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

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Substitute y=0 in equation (3)

x=40

Substitute x=0 in equation (4)

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Substitute y=0 in equation (4)

x=20

Substitute x=0 and y=40 and in equation (1)

40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

-20\leq -20

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

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