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frozen [14]
3 years ago
6

(6) 5hrs 15min - 3hrs 35min Please show the work

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0
1 hr 35 minutes um i just subtracted
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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
....pls help me :((((((
Rina8888 [55]

Answer:

y= -7

Step-by-step explanation:

So first distribute the 8

4=8y+32-4y

now combine like terms (the -4y+8y)

4=32+4y

Subtract 32 on both sides to isolate 4y

-28=4y

now divide 4 on both sides to isolate Y

-7=y

so y= -7

5 0
3 years ago
What is the linear function? Find the output when the input is n. please help.
melomori [17]

Answer:

y = -x + 6

Example:

-1 +6=5

7 0
3 years ago
Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
slavikrds [6]

Here is your answer

SSS

REASON:

SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be congruent.

Here, in both triangles

7units=7 units

8units=8units

Middle side is common to both triangles so it is equal.

Hence, both triangles are congruent by SSS

HOPE IT IS USEFUL

7 0
3 years ago
Write the equation of a line in slope intercept form that passes through the points (0, 7) and (5, 3)
malfutka [58]

first you find the slope by making using the quation for slope

(7-3)/(0-5) and you find your slope is 4/-5. Then you can plug this into point slope form using on of the coordinates so:

y-y1=m(x-x1) --> y-3=-4/5(x-5)

then you distribute the -1 so -----> y-3=-4/5x+4 and then move the 3 over

so the answer is y= -4/5x+7

5 0
3 years ago
Read 2 more answers
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