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just olya [345]
3 years ago
9

A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance t

o generate a total revenue of 153800.

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

5000 = a + b \\ 153800 = 26a + 40b

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)

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Eleven of 20 students in Mr. Gonzalez ‘s science class are attending the field trip. What percent best represents the portion of
antoniya [11.8K]

Answer:

%55

Step-by-step explanation:

divide both values by 2, multiply by 10 to give you a percentage


3 0
2 years ago
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
3 0
3 years ago
Evaluate the function found in the previous step at X =-3
babunello [35]
x-5y=-4x-2y

In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.

-3-5y=-4(-3)-2y

<em>Multiply -4 and -3 in the function above.</em>

-3-5y=12-2y

<em>Add 3 on both sides of the equation.</em>

-3-5y+3=12-2y+3-5y=15-2y

<em>Add 2y on both sides of the equation.</em>

-5y+2y=15-2y+2y-3y=15

<em>Divide both sides of the equation by -3.</em>

\frac{-3y}{-3}=\frac{15}{-3}y=-5

Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.

Answer:

f(-3) = -5

<em />

7 0
1 year ago
At a video store, movie rentals are $4 and game rentals are $6.Let x be the number of movies rented. Let y be the number of game
Misha Larkins [42]

Answer:

x int = 60

y int = 40

Step-by-step explanation:

x int means the maximum amount of games sold

y int means the maximum amount of movies rented

6 0
3 years ago
GUYS CAN ANYONE HELP ME WITH 5 and 6 please
Karolina [17]

Answer:

first one is 120cm

second one is 7.5 miles

Step-by-step explanation:

one book is 3.75

maximum books are 25

so 25×3.75 = 93.75

second question he crosses 0.63 to go for work

and 0.63 to go home so in one day he crosses 1.26 miles

in 6 days is (1.26×6) = 7.56

3 0
3 years ago
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