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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.4: Real Numbers
Problem 53E
icon
Related questions
Question
**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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax