Which Description Can Be Written As The Expression 40 N − 15 40n - 15 40 N − 15 ?A. Hasaan Wants To Know How Much Savings Is Left In His Account If He Withdraws Fifteen Dollars.B. Hasaan Wants To Know How Many Fifteen-dollar Tickets He Has To Sell To Make Forty

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Which Description Can Be Written as the Expression 40n1540n - 15?

In mathematics, expressions are used to represent a value or a relationship between values. They can be simple or complex, and can be used to solve a wide range of problems. In this article, we will explore the expression 40n1540n - 15 and determine which description can be written as this expression.

The expression 40n1540n - 15 is a linear expression, which means it is a polynomial of degree one. It consists of two terms: 40n40n and 15-15. The first term, 40n40n, is a product of a constant, 4040, and a variable, nn. The second term, 15-15, is a constant.

To understand which description can be written as the expression 40n1540n - 15, we need to break down the expression into its individual components. The first term, 40n40n, represents the number of times a certain value is multiplied by 4040. The second term, 15-15, represents a constant value that is being subtracted from the first term.

Description A states: "Hasaan wants to know how much savings is left in his account if he withdraws fifteen dollars." This description can be written as the expression 40n1540n - 15 if we let nn represent the number of times Hasaan withdraws 4040 dollars from his account. In this case, the expression 40n1540n - 15 represents the amount of savings left in Hasaan's account after he withdraws 1515 dollars.

Description B states: "Hasaan wants to know how many fifteen-dollar tickets he has to sell to make forty dollars." This description can also be written as the expression 40n1540n - 15 if we let nn represent the number of tickets Hasaan sells. In this case, the expression 40n1540n - 15 represents the amount of money Hasaan makes from selling nn tickets, minus the cost of 1515 dollars per ticket.

In conclusion, both Description A and Description B can be written as the expression 40n1540n - 15. The expression 40n1540n - 15 represents a linear relationship between the number of times a certain value is multiplied by 4040 and a constant value that is being subtracted. This expression can be used to solve a wide range of problems, including calculating savings and determining the number of tickets that need to be sold to make a certain amount of money.

The expression 40n1540n - 15 has many real-world applications. For example, it can be used to calculate the cost of a product that is sold in units of 4040 dollars, minus a certain cost per unit. It can also be used to determine the number of tickets that need to be sold to make a certain amount of money, minus the cost of each ticket.

Here are a few example problems that can be solved using the expression 40n1540n - 15:

  • If Hasaan withdraws 1515 dollars from his account, and he has 40n40n dollars left, how much savings does he have left?
  • If Hasaan sells nn tickets, and each ticket costs 1515 dollars, how much money does he make from selling nn tickets?
  • If a product is sold in units of 4040 dollars, and each unit costs 1515 dollars to produce, how much profit does the company make from selling nn units?

To solve these example problems, we can use the expression 40n1540n - 15. For example, if Hasaan withdraws 1515 dollars from his account, and he has 40n40n dollars left, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that Hasaan has 2525 dollars left in his account.

If Hasaan sells nn tickets, and each ticket costs 1515 dollars, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that Hasaan makes 2525 dollars from selling 11 ticket.

If a product is sold in units of 4040 dollars, and each unit costs 1515 dollars to produce, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that the company makes 2525 dollars in profit from selling 11 unit.

In our previous article, we explored the expression 40n1540n - 15 and determined which description can be written as this expression. In this article, we will answer some frequently asked questions about the expression 40n1540n - 15.

Q: What is the expression 40n1540n - 15 used for?

A: The expression 40n1540n - 15 is used to represent a linear relationship between the number of times a certain value is multiplied by 4040 and a constant value that is being subtracted. It can be used to solve a wide range of problems, including calculating savings and determining the number of tickets that need to be sold to make a certain amount of money.

Q: How do I use the expression 40n1540n - 15 to calculate savings?

A: To use the expression 40n1540n - 15 to calculate savings, let nn represent the number of times you withdraw 4040 dollars from your account. Then, plug in the value of nn into the expression to get the amount of savings left in your account.

Q: How do I use the expression 40n1540n - 15 to determine the number of tickets that need to be sold?

A: To use the expression 40n1540n - 15 to determine the number of tickets that need to be sold, let nn represent the number of tickets you sell. Then, plug in the value of nn into the expression to get the amount of money you make from selling nn tickets.

Q: What is the difference between the expression 40n1540n - 15 and the expression 40n+1540n + 15?

A: The expression 40n1540n - 15 represents a linear relationship between the number of times a certain value is multiplied by 4040 and a constant value that is being subtracted. The expression 40n+1540n + 15 represents a linear relationship between the number of times a certain value is multiplied by 4040 and a constant value that is being added.

Q: Can I use the expression 40n1540n - 15 to solve problems that involve fractions?

A: Yes, you can use the expression 40n1540n - 15 to solve problems that involve fractions. However, you will need to multiply the fraction by 4040 and then subtract 1515 from the result.

Q: How do I simplify the expression 40n1540n - 15?

A: To simplify the expression 40n1540n - 15, you can combine the like terms. In this case, there are no like terms, so the expression 40n1540n - 15 is already simplified.

Q: Can I use the expression 40n1540n - 15 to solve problems that involve decimals?

A: Yes, you can use the expression 40n1540n - 15 to solve problems that involve decimals. However, you will need to multiply the decimal by 4040 and then subtract 1515 from the result.

In conclusion, the expression 40n1540n - 15 is a powerful tool that can be used to solve a wide range of problems. It can be used to calculate savings, determine the number of tickets that need to be sold, and solve problems that involve fractions and decimals. By understanding how to use the expression 40n1540n - 15, you can become a more confident and proficient problem-solver.

The expression 40n1540n - 15 has many real-world applications, including:

  • Calculating savings: The expression 40n1540n - 15 can be used to calculate the amount of savings left in an account after a certain amount of money is withdrawn.
  • Determining the number of tickets that need to be sold: The expression 40n1540n - 15 can be used to determine the number of tickets that need to be sold to make a certain amount of money.
  • Solving problems that involve fractions: The expression 40n1540n - 15 can be used to solve problems that involve fractions, such as calculating the amount of money that needs to be paid for a certain number of items.
  • Solving problems that involve decimals: The expression 40n1540n - 15 can be used to solve problems that involve decimals, such as calculating the amount of money that needs to be paid for a certain number of items.

Here are a few example problems that can be solved using the expression 40n1540n - 15:

  • If Hasaan withdraws 1515 dollars from his account, and he has 40n40n dollars left, how much savings does he have left?
  • If Hasaan sells nn tickets, and each ticket costs 1515 dollars, how much money does he make from selling nn tickets?
  • If a product is sold in units of 4040 dollars, and each unit costs 1515 dollars to produce, how much profit does the company make from selling nn units?

To solve these example problems, we can use the expression 40n1540n - 15. For example, if Hasaan withdraws 1515 dollars from his account, and he has 40n40n dollars left, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that Hasaan has 2525 dollars left in his account.

If Hasaan sells nn tickets, and each ticket costs 1515 dollars, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that Hasaan makes 2525 dollars from selling 11 ticket.

If a product is sold in units of 4040 dollars, and each unit costs 1515 dollars to produce, we can plug in n=1n = 1 into the expression to get:

40(1)15=4015=2540(1) - 15 = 40 - 15 = 25

This means that the company makes 2525 dollars in profit from selling 11 unit.

In conclusion, the expression 40n1540n - 15 is a powerful tool that can be used to solve a wide range of problems. It can be used to calculate savings, determine the number of tickets that need to be sold, and solve problems that involve fractions and decimals. By understanding how to use the expression 40n1540n - 15, you can become a more confident and proficient problem-solver.