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antiseptic1488 [7]
2 years ago
5

Please answer soon!!!

Mathematics
1 answer:
Inessa [10]2 years ago
7 0

Answer:

x =  \ \frac{225}{13}

Step-by-step explanation:

explanation is in the image aboveexplanation is in the image aboveexplanation is in the image abovehope this helpsplease mark me brainiest

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A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
How to answer this problem
Mumz [18]

Answer:

5 Degrees

Step-by-step explanation:

In order to find the median, you must put the temperatures in ascending order. The median is the number in the middle.

This week

65 71 73 73 73 74 75

Last Week

51 62 66 68 72 72 85

The median of This week is 73 while the median last week is 68.

73-68=5 degrees

3 0
3 years ago
Read 2 more answers
What is the difference between the mean and the median of the data set?<br> (22, 8, 10, 18, 12, 20)
IgorC [24]

Let D = difference between mean and median of data.

Mean = (22 + 8 + 10 + 18 + 12 + 20)/6

Mean = 90/6

Mean = 15

Let m = median

m = 8, 10, 12, 18, 20, 22

m = (12 + 18)/2

m = 30/2

m = 15

D = M - m

D = 15n- 15

D = 0

7 0
3 years ago
Someone please help! I have spent lots of time on this and I’m still confused
vfiekz [6]

Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

3 0
3 years ago
Consider the isosceles triangle with verticles a(-1,1) b(3,1) c(1,6)
Dima020 [189]
What is the question? Do they want us to find a’,b’, and c’??
8 0
4 years ago
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