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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 10.CT, Problem 23CT

Textbook Problem

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For Problems 22-25, set up and solve a system of equations to help solve each problem.

A box contains $7.80 in nickels, dimes, and quarters. There are 6 more dimes than nickels and three times as many quarters as nickels. Find the number of quarters.

To determine

**To Find:**

The number of quarters.

**Substitution method:**

**Step 1:** Solve one of the equations for one variable in terms of the other variable if neither equation is in such a form. (If possible, make a choice that will avoid fractions.)

**Step 2:** Solve the expression obtained in Step 1 into the other equation to produce an equation with one variable.

**Step 3:** Solve the equation obtained in step 2.

**Step 4:** Use the solution obtained in step 3, along with the expression obtained on step 1, to

Determine the solution of the system.

**Calculation:**

**Given:**

Let *n* represents the number of nickels and *d* represents the number of dimes and *q* represents the number of quarters.

A box contains $7.80 in nickels, dimes, and quarters.

That is

There are 6 more dimes than nickels and three times as many quarters as nickels

Intermediate Algebra

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Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 1-16, use the graphing approach to...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - Thoughts Into Words How do you know by inspection,...Ch. 10.1 - Thoughts Into Words Is it possible for a system of...Ch. 10.1 - Graphing Calculator Activities Use the graphing...Ch. 10.1 - Graphing Calculator Activities Use the graphing...Ch. 10.2 - For Problems 15, answer true or false. 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The graph...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. Three...Ch. 10.4 - For Problems 1-10, answer true or false. One way...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - For Problems 1-10, answer true or false. The...Ch. 10.4 - For Problems 1-10, answer true or false. The...Ch. 10.4 - For Problems 1-10, answer true or false. It is...Ch. 10.4 - For Problems 1-10, answer true or false. A system...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. If the...Ch. 10.4 - Solve each of the following systems. 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If the...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Thoughts Into Words Give a step-by-step...Ch. 10.4 - Thoughts Into Words Describe how you would solve...Ch. 10.5 - For Problems 18, answer true or false. Graphing a...Ch. 10.5 - For Problems 18, answer true or false. Every...Ch. 10.5 - For Problems 18, answer true or false. Every...Ch. 10.5 - For Problems 18, answer true or false. Every...Ch. 10.5 - For Problems 18, answer true or false. Graphs of a...Ch. 10.5 - For Problems 18, answer true or false. The...Ch. 10.5 - For Problems 18, answer true or false. The...Ch. 10.5 - For Problems 18, answer true or false. The...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - For Problems 1-28, a graph each system so that...Ch. 10.5 - Thoughts Into Words What happens if you try to...Ch. 10.5 - Thoughts Into Words Explain how you would solve...Ch. 10.5 - Graphing Calculator Activities Use a graphing...Ch. 10.5 - Graphing Calculator Activities For each of the...Ch. 10.S - Sample Problem Solve (2x+y=4x+2y=1) by graphing.Ch. 10.S - Sample Problem Solve the system (y12x+2yx3)..Ch. 10.S - Sample Problem Solve the system (12x2y=07x+y=1).Ch. 10.S - Sample Problem Solve the system (2x5y=73x10y=13).Ch. 10.S - Sample Problem Solve (3x+12y=24x5y=17).Ch. 10.S - Sample Problem A car dealership has 510 cars and...Ch. 10.S - Sample Problem 7 Solve (x2y=22x+3y=11y4z=7)Ch. 10.S - Sample Problem A triangle has a perimeter of 55...Ch. 10.S - Sample Problem Solve (y=x2+1xy=1)Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1-14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For Problems 1 14, solve each system using the...Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 15-20, solve each system....Ch. 10.CR - For problems 21-22, graph the following system,...Ch. 10.CR - For problems 21-22, graph the following system,...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 23-26, indicate the solution set of...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CR - For problems 27-42, solve each problem by setting...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 1-4, refer to the following systems...Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - Find the value of x in the solution for the...Ch. 10.CT - Find the value of y in the solution for the...Ch. 10.CT - Find the value of z in the solution for the...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - For Problems 16-20, determine how many ordered...Ch. 10.CT - Graph the solution set for the system: x+3y32x-y2Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CT - For Problems 22-25, set up and solve a system of...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 1-5, evaluate each algebraic...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 6-15, perform the indicated...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 16-19, simplify each of the complex...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 26-33, evaluate each of the numerical...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 34-36, find the indicated products...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems 37-44, express each radical...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems, 45-47, use the distributive property...Ch. 10.CM - For problems 48 and 49, rationalize the...Ch. 10.CM - For problems 48 and 49, rationalize the...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 50-52, use scientific notation to...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - For problems 53-56, find each of the indicated...Ch. 10.CM - Find the slope of the line determined by the...Ch. 10.CM - Find the slope of the line determined by the...Ch. 10.CM - Find the length of the line segment whose...Ch. 10.CM - Write the equation of the line that contains the...Ch. 10.CM - Write the equation of the line that is...Ch. 10.CM - Find the center and the length of a radius of the...Ch. 10.CM - For the parabola y=x2+10x+21, find the coordinates...Ch. 10.CM - For the ellipse x2+4y2=16, find the length of the...Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - For problems 71-76, graph each of the functions....Ch. 10.CM - If f(x)=x3 and g(x)=2x2x1, find (gf)(x) and...Ch. 10.CM - Find the inverse (f1) of f(x)=3x7.Ch. 10.CM - Find the inverse of f(x)=12x+23.Ch. 10.CM - Find the constant of variation if y varies...Ch. 10.CM - If y is inversely proportional to the square of x,...Ch. 10.CM - The volume of a gas at a constant temperature...Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 83-103, solve each of the equations....Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 104-113, solve each of the...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - For problems 114-118, solve each of the systems of...Ch. 10.CM - 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