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Zielflug [23.3K]
3 years ago
5

Movie tickets cost $8 for children and $12 for adults. A movie theater has 300 seats. The theater wants to collect at least $4,8

00. Write a system on inequalities to model this situation.
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

8x + 12y = 4800

\left \{ {{8x + 12y = 4800} \atop {x+ y = 300}} \right.

Step-by-step explanation:

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Triss [41]

Answer:

First option.

Third option.

Fifth option.

Hope this helps :)

 

5 0
3 years ago
Atown uses positive numbers to track increases in population and negative numbers to track decreases in population.
amid [387]

Answer:

Step-by-step explanation:

-60

Step-by-step explanation:

Increase in population is given by positive sign

Change in population in 5 years = -300

Decrease in population is represented by negative sign

Change in population in 1 year = -300\5

                                                = -60

Town's population faces a decrease of 60 residents each year.

4 0
2 years ago
The sequence an = one third(3)n − 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average
Maru [420]
The given sequence is:

a(n)= \frac{1}{3}  (3)^{n-1}

a(2)=1
a(3)=3
a(4)=9

We are to find the average rate of change between n=3 and n=4 for the given function.

Average rate of change = \frac{a(4)-a(3)}{4-3} = \frac{9-3}{1}=6

So the average rate of change for the given function from n = 3 to n = 4 is 6
8 0
3 years ago
Read 2 more answers
Please help i have 1 question. thank you.
liberstina [14]
Since the direction is not specified, it can be safe to assume that the direction of rotation is counterclockwise.

300 degrees is 60 degrees less than 360 degrees, which is a full rotation. Thus, 300 degrees counterclockwise is the same as 60 degrees clockwise.

Note that this shape is a hexagon. Thus, we can divide a hexagon into 6 equilateral triangles, each with measures of 60 degrees. Just move OQ to the adjacent clockwise equilateral triangle and see what it overlaps with.

OQ is the altitude of the equilateral triangle, so our answer will be the altitude of the adjacent clockwise equilateral triangle.

The answer is OF.

6 0
3 years ago
Question:
kolbaska11 [484]

Answer:

<u>Proportional relationship formula:</u>

  • y = kx, where k is the constant of proportionality

Use one of the ordered pairs to calculate the value of k

<h3>Company A</h3>

Point (2, 20)

  • 20 = k*2
  • h = 20/2
  • k = 10

The equation: y = 10h

<h3>Company B</h3>

Point (3, 20)

  • 20 = k*3
  • k = 20/3
  • The equation: y = 20/3h

Company A has greater unit rate as 10 > 20/3

3 0
3 years ago
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