Mrs. Conley ordered cartons of tissue, window cleaner, and paper towels for 3 school campuses. She listed the number of cartons needed per campus in matrix M and the cost per carton in matrix N. W P Campus 1 42 1 т Cost 36 T 28.80 M = Campus 2 35 3 30 N = W 30.00 Campus 3 40 2 33 P 16.20 To find the total cost, Mrs. Conley multiplied M x N. Which could be the result? O [5153.40] O [3369.60 180.00 1603.80] 1822.80 1584.00 1746.60 1209.60 30.00 583.20 1008.00 90.00 486.00 1152.00 60.00 534.60
Mrs. Conley ordered cartons of tissue, window cleaner, and paper towels for 3 school campuses. She listed the number of cartons needed per campus in matrix M and the cost per carton in matrix N. W P Campus 1 42 1 т Cost 36 T 28.80 M = Campus 2 35 3 30 N = W 30.00 Campus 3 40 2 33 P 16.20 To find the total cost, Mrs. Conley multiplied M x N. Which could be the result? O [5153.40] O [3369.60 180.00 1603.80] 1822.80 1584.00 1746.60 1209.60 30.00 583.20 1008.00 90.00 486.00 1152.00 60.00 534.60
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Question 15: Which is the component form of the vector shown?**
**Graph Description:**
The graph is a standard Cartesian coordinate system with x and y axes. It includes a grid to represent the plane more clearly, with each grid square seemingly equal to a measurement of one unit along both axes. The x-axis is labeled from -6 to 6, and the y-axis from -6 to 6.
A vector is drawn from the point (-5, -3) to the point (1, 2). This vector is represented by a directed line segment, beginning at the coordinates (-5, -3) and terminating at (1, 2).
**Answer Choices:**
- \(\langle -6, -5 \rangle\)
- \(\langle -5, -6 \rangle\)
- \(\langle -4, -7 \rangle\)
- \(\langle 7, -4 \rangle\)
To find the component form of the vector, subtract the coordinates of the initial point from the coordinates of the terminal point:
\[
\text{Component form} = \langle 1 - (-5), 2 - (-3) \rangle = \langle 1 + 5, 2 + 3 \rangle = \langle 6, 5 \rangle
\]
**Correct Answer:**
None of the given options is correct for the vector’s component form. The correct component form should be \(\langle 6, 5 \rangle\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a93d8bf-dcec-4fd1-a13b-11f29e84e363%2F1159c987-984b-41fd-89b0-8c89c5f6fd89%2F1qt0qh8_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 15: Which is the component form of the vector shown?**
**Graph Description:**
The graph is a standard Cartesian coordinate system with x and y axes. It includes a grid to represent the plane more clearly, with each grid square seemingly equal to a measurement of one unit along both axes. The x-axis is labeled from -6 to 6, and the y-axis from -6 to 6.
A vector is drawn from the point (-5, -3) to the point (1, 2). This vector is represented by a directed line segment, beginning at the coordinates (-5, -3) and terminating at (1, 2).
**Answer Choices:**
- \(\langle -6, -5 \rangle\)
- \(\langle -5, -6 \rangle\)
- \(\langle -4, -7 \rangle\)
- \(\langle 7, -4 \rangle\)
To find the component form of the vector, subtract the coordinates of the initial point from the coordinates of the terminal point:
\[
\text{Component form} = \langle 1 - (-5), 2 - (-3) \rangle = \langle 1 + 5, 2 + 3 \rangle = \langle 6, 5 \rangle
\]
**Correct Answer:**
None of the given options is correct for the vector’s component form. The correct component form should be \(\langle 6, 5 \rangle\).
![**Problem 10:**
Mrs. Conley ordered cartons of tissue, window cleaner, and paper towels for three school campuses. She listed the number of cartons needed per campus in matrix \( M \) and the cost per carton in matrix \( N \).
### Matrices:
- **Matrix \( M \) (Number of Cartons Needed):**
- Campus 1: Tissue (\( T \)) = 42, Window Cleaner (\( W \)) = 1, Paper Towels (\( P \)) = 36
- Campus 2: Tissue (\( T \)) = 35, Window Cleaner (\( W \)) = 3, Paper Towels (\( P \)) = 30
- Campus 3: Tissue (\( T \)) = 40, Window Cleaner (\( W \)) = 2, Paper Towels (\( P \)) = 33
- **Matrix \( N \) (Cost per Carton):**
- Tissue (\( T \)) = 28.80
- Window Cleaner (\( W \)) = 30.00
- Paper Towels (\( P \)) = 16.20
### Calculation:
To find the total cost, Mrs. Conley multiplied matrix \( M \) by matrix \( N \). Potential results of this multiplication are given as options:
1. \([5153.40]\)
2. \([3369.60, 180.00, 1603.80]\)
3.
1822.80
1584.00
1746.60
4.
1209.60, 30.00, 583.20
1008.00, 90.00, 486.00
1152.00, 60.00, 534.60
**Objective:**
Determine which set of results correctly represents the total cost for each campus when matrix \( M \) is multiplied by matrix \( N \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a93d8bf-dcec-4fd1-a13b-11f29e84e363%2F1159c987-984b-41fd-89b0-8c89c5f6fd89%2F264dc0c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 10:**
Mrs. Conley ordered cartons of tissue, window cleaner, and paper towels for three school campuses. She listed the number of cartons needed per campus in matrix \( M \) and the cost per carton in matrix \( N \).
### Matrices:
- **Matrix \( M \) (Number of Cartons Needed):**
- Campus 1: Tissue (\( T \)) = 42, Window Cleaner (\( W \)) = 1, Paper Towels (\( P \)) = 36
- Campus 2: Tissue (\( T \)) = 35, Window Cleaner (\( W \)) = 3, Paper Towels (\( P \)) = 30
- Campus 3: Tissue (\( T \)) = 40, Window Cleaner (\( W \)) = 2, Paper Towels (\( P \)) = 33
- **Matrix \( N \) (Cost per Carton):**
- Tissue (\( T \)) = 28.80
- Window Cleaner (\( W \)) = 30.00
- Paper Towels (\( P \)) = 16.20
### Calculation:
To find the total cost, Mrs. Conley multiplied matrix \( M \) by matrix \( N \). Potential results of this multiplication are given as options:
1. \([5153.40]\)
2. \([3369.60, 180.00, 1603.80]\)
3.
1822.80
1584.00
1746.60
4.
1209.60, 30.00, 583.20
1008.00, 90.00, 486.00
1152.00, 60.00, 534.60
**Objective:**
Determine which set of results correctly represents the total cost for each campus when matrix \( M \) is multiplied by matrix \( N \).
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