Question 1

Given the matrix, perform elementary row operation to obtain a 1 in the row 1, column 1 position. ​   ​

Accepted Answer

A)  RowSwap ([A], 1, 3) 
B)  RowSwap (1/2,[A], 3) 
C)  RowSwap ([A], 2, 3) 
D)  RowSwap (1/2,[A], 1) 
E)  RowSwap ([A], 1, 2) 
A)  RowSwap ([A], 1, 3) 
B)  RowSwap (1/2,[A], 3) 
C)  RowSwap ([A], 2, 3) 
D)  RowSwap (1/2,[A], 1) 
E)  RowSwap ([A], 1, 2)

Question 2

Solve the system by solving the corresponding matrix equation with an inverse, if possible.
​
​   ​
Enter the answer in the form (x, y).

Accepted Answer

The answer of Solve the system by solving the corresponding...

Question 3

Write [A][X] = [B] for the matrices
​   ​
Please enter your answer as three equations, separated with commas.

Accepted Answer

The answer of Write [A][X] = [B] for the matrices
​...

Question 4

Write a system of equations that has the given augmented matrix. ​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 5

Write   for the matrices   ​ ​
​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Solve the system by the substitution method.
​

Accepted Answer

The answer of Solve the system by the substitution method.
​...

Question 7

A box contains twenty-five more dimes than nickels. How many dimes are there if the total value is $5.80? ​

Accepted Answer

A)  22 dimes 
B)  47 dimes 
C)  25 dimes 
D)  15 dimes 
E)  40 dimes 
A)  22 dimes 
B)  47 dimes 
C)  25 dimes 
D)  15 dimes 
E)  40 dimes

Question 8

Solve the system by the addition method. ​   ​

Accepted Answer

A)  (3, 2) 
B)  (0, 0) 
C)  inconsistent 
D)  (5, 2) 
E)  (-1, 1) 
A)  (3, 2) 
B)  (0, 0) 
C)  inconsistent 
D)  (5, 2) 
E)  (-1, 1)

Question 9

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk? ​

Accepted Answer

A)  12 gallons 
B)  90 gallons 
C)  6 gallons 
D)  60 gallons 
E)  62 gallons 
A)  12 gallons 
B)  90 gallons 
C)  6 gallons 
D)  60 gallons 
E)  62 gallons

Question 10

Decide whether the point   is a feasible solution for the constraints.
​   ​
Answer yes or no.

Accepted Answer

The answer of Decide whether the point   is...

Question 11

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver? ​

Accepted Answer

A)  75 oz silver and 25 oz alloy 
B)  19 oz silver and 81 oz alloy 
C)  24 oz silver and 76 oz alloy 
D)  76 oz silver and 24 oz alloy 
E)  25 oz silver and 75 oz alloy 
A)  75 oz silver and 25 oz alloy 
B)  19 oz silver and 81 oz alloy 
C)  24 oz silver and 76 oz alloy 
D)  76 oz silver and 24 oz alloy 
E)  25 oz silver and 75 oz alloy

Question 12

Find the sum [A][B], if
​

Accepted Answer

The answer of Find the sum [A][B], if
​  ...

Question 13

Maximize   subject to the given constraints. ​
​   ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 14

A candy maker mixes chocolate, milk, and mint extract to produce three kinds of candy (I, II, and III) with the following proportions. If 75 lb of chocolate, 52 gal of milk, and 36 oz of mint extract are available, how much of each kind of candy can be produced? ​
I : 7 lb chocolate, 5 gal milk, 1 oz mint extract
II : 3 lb chocolate, 2 gal milk, 2 oz mint extract
III : 4 lb chocolate, 3 gal milk, 3 oz mint extract
​

Accepted Answer

A)  5 units of candy |, 15 units of candy ||, 2 units of candy ||| 
B)  5 units of candy |, 14 units of candy ||, 2 units of candy ||| 
C)  4 units of candy |, 16 units of candy ||, 3 units of candy ||| 
D)  4 units of candy |, 13 units of candy ||, 2 units of candy ||| 
E)  5 units of candy |, 13 units of candy ||, 3 units of candy ||| 
A)  5 units of candy |, 15 units of candy ||, 2 units of candy ||| 
B)  5 units of candy |, 14 units of candy ||, 2 units of candy ||| 
C)  4 units of candy |, 16 units of candy ||, 3 units of candy ||| 
D)  4 units of candy |, 13 units of candy ||, 2 units of candy ||| 
E)  5 units of candy |, 13 units of candy ||, 3 units of candy |||

Question 15

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 30% micoden, 10% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below?   __________%

Accepted Answer

The answer of Suppose Ingredient I is made up of...

Question 16

Given the matrix, perform elementary row operation to obtain zeros under the 1 in the first column.
​

Accepted Answer

*Row+(-5,

Question 17

Minimize   subject to the constraints.
​   ​
K = ____ at ( ____, ____)

Accepted Answer

The answer of Minimize   subject to the constraints.
​...

Question 18

Write the system in augmented matrix form. ​   ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 19

Minimize   subject to the constraints. ​   ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​   
A)    
B)  ​   
C)  ​   
D)  ​   
E)  ​

Question 20

Solve the system by solving the corresponding matrix equation with an inverse, if possible.
​   ​
Enter the answer in the form   ,   ,   .

Accepted Answer

The answer of Solve the system by solving the corresponding...

Given the matrix, perform elementary row operation to obtain a 1 in the row 1, column 1 position.

Solve the system by solving the corresponding matrix equation with an inverse, if possible. Enter the answer in the form (x, y).

Write [A][X] = [B] for the matrices Please enter your answer as three equations, separated with commas.

Write a system of equations that has the given augmented matrix.

Write for the matrices

Solve the system by the substitution method.

A box contains twenty-five more dimes than nickels. How many dimes are there if the total value is $5.80?

Solve the system by the addition method.

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk?

Decide whether the point is a feasible solution for the constraints. Answer yes or no.

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver?

Find the sum [A][B], if

Maximize subject to the given constraints.

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 30% micoden, 10% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below? __________%

Given the matrix, perform elementary row operation to obtain zeros under the 1 in the first column.

Minimize subject to the constraints. K = at ( , )

Write the system in augmented matrix form.

Minimize subject to the constraints.

Solve the system by solving the corresponding matrix equation with an inverse, if possible. Enter the answer in the form , , .

The Nature of Problem Solving

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The Nature of Numeration Systems

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The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

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Exam 16: The Nature of Mathematical Systems

Given the matrix, perform elementary row operation to obtain a 1 in the row 1, column 1 position. ​ ​

Solve the system by solving the corresponding matrix equation with an inverse, if possible. ​ ​ ​ Enter the answer in the form (x, y).

Write [A][X] = [B] for the matrices ​ ​ Please enter your answer as three equations, separated with commas.

Write a system of equations that has the given augmented matrix. ​ ​

Write for the matrices ​ ​ ​

Solve the system by the substitution method. ​