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dmitriy555 [2]
1 year ago
10

1.5.5 Practice: Modeling: Best Ticket Deal

Mathematics
1 answer:
posledela1 year ago
4 0

The best ticket deal are illustrations of linear equations

The ticket system is a better deal to the max ticket

<h3>How to determine the best ticket deal</h3>

From the complete question, we have the following summary:

  • <u>Ticket System</u>

Charges = $22 per person

Surcharge = $10 per transaction

  • <u>Max Tickets</u>

Charges = $20 per person

Surcharge = $16 per transaction

Assume there would be only one transaction, the linear equations that represent the ticket deals are:

Ticket System: y = 22x + 10

Max Ticket: y = 20x + 16

The costs of ticket for two people in both deals are:

Ticket System: y = 22*2 + 10 = 54

Max Ticket: y = 20*2 + 16 = 56

By comparison;

54 is less than 56

This means that the ticket system is a better deal to the max ticket

Read more about linear equations at:

brainly.com/question/14323743

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Answer:

Prime numbers are numbers that cannot be divided into further whole numbers. You cannot divide 19 and 13 because 13 and 19 are already prime numbers.

Step-by-step explanation:

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A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing e
Mars2501 [29]

Answer:

1.  The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

2. The jar has 26 nickels and 44 dimes that worth $5.70.

3. The concession stand has sold 1600 sodas and 1400 hotdogs

Step-by-step explanation:

For all the problems we are going to follow the same process that will consist on 1. Define the variables. 2. Formulate the system of two linear equations 3. Solve by the elimination method 4. Give the answer.

  • First problem.

- Variables:

x = number of investors that contribute with $3,000

y = number of investors that contribute with $6,000

- System of equations.

First equation will be the result of adding the number of investors that will give us a total of 60 investors then:

x + y = 60

Second equation is the result of multypling the number of investors by its invest and adding between them to get the $258,000 they have raised:

3,000x + 6,000y = 258,000

The system will be:

x + y = 60

3,000x + 6,000y = 258,000

- Solve by the elimination method.

To cancel x we are going to multiply by -3000 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

3,000x + 6,000y = 258,000

(x + y ) (-3,000) = 60 (-3,000) <em>   solve the multiplications </em>

3,000x + 6,000y = 258,000

<u>-3,000x - 3,000y = -180,000 </u><em>   solve the operations</em>

0 + 3,000y = 78,000     <em>clear y</em>

y = \frac{78,000}{3,000}    <em>solve the division</em>

y = 26

For calculate x, replace the y value in the first equation and solve it

x + 26 = 60

x = 60 - 26

x = 34

- Answer

The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

  • Second problem

- Variables:

x = number of nickels

y = number of dimes

- System of equations.

First equation will be the result of adding the number of nickels and dimes that will give us a total of 70 coins in the jar then:

x + y = 70

Second equation is the result of multypling the number of coins by its value and adding between them to get the $5.70 that the jar worth:

0.05x + 0.1 y = 5.70

The system will be:

x + y = 70

0.05x + 0.1 y = 5.70

- Solve by the elimination method.

To cancel x we are going to multiply by -0.05 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

0.05x + 0.1 y = 5.70

(x + y ) (-0.05) = 70 (-0.05) <em>   solve the multiplications </em>

0.05x + 0.1 y = 5.70

<u>-0.05x - 0.05y = -3.50 </u><em>   solve the operations</em>

0 + 0.05y = 2.20     <em>clear y</em>

y = \frac{2.20}{0.05}    <em>solve the division</em>

y = 44

For calculate x, replace the y value in the first equation and solve it

x + 44 = 70

x = 70 - 44

x = 26

- Answer

The jar has 26 nickels and 44 dimes that worth $5.70.

  • Third problem.

- Variables:

x = number of sodas sold by $2

y =  number of hotdogs sold by $3

- System of equations.

First equation will be the result of adding the number of sodas and hotdogs that is of 3000 then:

x + y = 3000

Second equation is the result of multypling the number of sodas and hotdogs by its price and adding between them to get the $7400 of the receipts:

2x + 3y = 7400

The system will be:

x + y = 3000

2x + 3y = 7400

- Solve by the elimination method.

To cancel x we are going to multiply by -2 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

2x + 3y = 7400

(x + y ) (-2) = 3000 (-2) <em>   solve the multiplications </em>

2x + 3y = 7400

<u>-2x - 2y = -6000 </u><em>   solve the operations</em>

0 + 1y = 1400     <em>clear y</em>

y = \frac{1400}{1}    <em>solve the division</em>

y = 1400

For calculate x, replace the y value in the first equation and solve it

x + 1400 = 3000

x = 3000 - 1400

x = 1600

- Answer

The concession stand has sold 1600 sodas and 1400 hotdogs

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FALSE! Any 3 angles of any triangle add up to 180 degrees. An equilateral triangle's angles should each be 60 degrees.
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Can you explain to me what is wrong with this question?
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Answer:

I'm pretty sure it would be negative square root of 3 over 1 or 2. Sorry if this isn't much help.

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What is the approximation of pi to the nearest hundredth ?
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Answer:

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