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fomenos
2 years ago
15

Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the

equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Mathematics
2 answers:
Brilliant_brown [7]2 years ago
5 0

Answer: Which operation must be performed to move all the constants to the right side of the equation? Subtract 0.4

Then, which operation must be performed to isolate the variable? Divide by -9 on both sides

The solution to the equation is x =0.4

Step-by-step explanation:

I just did it on edgen

Alexandra [31]2 years ago
4 0

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4

<h3>Thus, the answer to this equation is x= -0.4</h3>
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A university is trying to determine what price to charge for tickets to football games. At a price of ​$ per​ ticket, attendance
Anika [276]

This question is incomplete, the complete question is;

A university is trying to determine what price to charge for tickets to football games. At a price of ​$24 per​ ticket, attendance averages 40,000 people per game. Every decrease of ​$4 adds 10,000 people to the average number. Every person at the game spends an average of ​$4 on concessions. What price per ticket should be charged in order to maximize​ revenue? How many people will attend at that​ price?

Answer:

a) price per ticket = $18

b) 55,000 will attend at that price

Step-by-step explanation:

Given that;

price of ticket = $24

so cost of ticket = 24 - x

every decrease of $4 adds 10,000 people

for $1 adds 2,500 people

Total people = 40000 + 2500x

Revenue function = people × cost + people × 4

so

R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4

R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x

R(x) = 1120000 + 30000x - 2500x²

R(x) = -2500x² + 30000x + 1120000

now for maximum revenue; R'(x) is to zero

so

R'(x) = d/dx(  -2500x² + 30000x + 1120000 ) = 0

⇒ -5000x + 30000 + 0 = 0

⇒ -5000x + 30000 = 0

⇒ 5000x = 30000

x = 30000 / 5000

x = 6

R'(X) = -5000 < 0 ⇒ MAXIMUM

∴ Revenue is maximum at x = 6

so cost of ticket ;

price per ticket = (24 - x) = 24 - 6 = $18

so price per ticket = $18

Number of people = 40000 + 2500x

= 40000 + (2500 × 6)

= 40000 + 15,000

= 55,000

Therefore, 55,000 will attend at that price

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2 years ago
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Thank you for posting your question here at brainly. Below is the solution. I hope the answer will help you.

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2 years ago
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BabaBlast [244]

Answer:

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Step-by-step explanation:

Let us make an equation in x to find it

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5*3.11 = 15.55

I hope this helped you out! :)
7 0
2 years ago
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