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a. The cost of having a plumber spend h hr at your house if the plumber charges $40 for coming to the house and Sx per hour for labor. The expression for the cost of the plumber coming to the house is hx + 40 dollars. (Simplify your answer.) b. The amount of money in cents in a jar containing some nickels and d dimes and some quarters if there are 8 times as many nickels as dimes and twice as many quarters as nickels. The expression for the amount of money in the jar is (Simplify your answer.) c. The sum of three consecutive integers if the greatest integer is x cents. The expression for the sum of the three consecutive integers is (Simplify your answer.)

a. The cost of having a plumber spend h hr at your house if the plumber charges $40 for coming to the house and Sx per hour for labor. The expression for the cost of the plumber coming to the house is hx + 40 dollars. (Simplify your answer.) b. The amount of money in cents in a jar containing some nickels and d dimes and some quarters if there are 8 times as many nickels as dimes and twice as many quarters as nickels. The expression for the amount of money in the jar is (Simplify your answer.) c. The sum of three consecutive integers if the greatest integer is x cents. The expression for the sum of the three consecutive integers is (Simplify your answer.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Writing Expressions for Indicated Quantities Using Given Variables** --- In the following exercises, you are asked to write expressions in terms of the given variables representing the indicated quantities. Follow the instructions for each part (a through g). --- ### a. Cost of Hiring a Plumber **Problem Statement:** The cost of having a plumber spend \( h \) hours at your house if the plumber charges $40 for coming to the house and $x per hour for labor. **Expression:** The expression for the cost of the plumber coming to the house is \( 40 + xh \) dollars. **Instructions:** Simplify your answer. ### b. Amount of Money in a Jar **Problem Statement:** The amount of money in cents in a jar containing some nickels and \( d \) dimes and some quarters if there are 8 times as many nickels as dimes and twice as many quarters as nickels. **Expression:** The expression for the amount of money in the jar is \( 140d \) cents. **Instructions:** Simplify your answer. ### c. Sum of Three Consecutive Integers **Problem Statement:** The sum of three consecutive integers if the greatest integer is \( x \). **Expression:** The expression for the sum of the three consecutive integers is \( 3x - 3 \). **Instructions:** Simplify your answer. --- Complete the remaining parts (d through g) similarly, writing the expressions and simplifying as instructed.
Transcribed Image Text:**Writing Expressions for Indicated Quantities Using Given Variables** --- In the following exercises, you are asked to write expressions in terms of the given variables representing the indicated quantities. Follow the instructions for each part (a through g). --- ### a. Cost of Hiring a Plumber **Problem Statement:** The cost of having a plumber spend \( h \) hours at your house if the plumber charges $40 for coming to the house and $x per hour for labor. **Expression:** The expression for the cost of the plumber coming to the house is \( 40 + xh \) dollars. **Instructions:** Simplify your answer. ### b. Amount of Money in a Jar **Problem Statement:** The amount of money in cents in a jar containing some nickels and \( d \) dimes and some quarters if there are 8 times as many nickels as dimes and twice as many quarters as nickels. **Expression:** The expression for the amount of money in the jar is \( 140d \) cents. **Instructions:** Simplify your answer. ### c. Sum of Three Consecutive Integers **Problem Statement:** The sum of three consecutive integers if the greatest integer is \( x \). **Expression:** The expression for the sum of the three consecutive integers is \( 3x - 3 \). **Instructions:** Simplify your answer. --- Complete the remaining parts (d through g) similarly, writing the expressions and simplifying as instructed.
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