4 pts

I . Find the system of equations to model the problem. Do not solve the system. In a sale of the Urban Market, Andres sold a customer 5 sacks of wheat, 2 sacks of corn and 3 sacks of rye for $ 31.00 a customer. Another customer sold 2 sacks of wheat, 3 sacks of corn and 5 sacks of rye for $ 27.60. To a third customer, he sold 3 sacks of wheat, 5 sacks of corn and 2 sacks of rye for $ 32.70. If x represents the price per sack of wheat, and the price per sack of corn and z the price per sack of rye. Which of the following systems represents the price per sack for each type of grain?

 

a.

5x + 2y + 3z = 31.00

 

2x + 3y-5z = 27.60

 

3x + 5y-2z = 32.70

 

b.

5x + 2y + 3z = 31.00

 

2x + 3y + 5z = 27.60

 

3x + 5y + 2z = 32.70

 

c.

5x + 2y + 3z = 31.00

 

2x-3y + 5z = 27.60

 

3x + 5y-2z = 32.70

 

d.

5x + 2y-3z = 31.00

 

2x + 3y-5z = 27.60

 

3x + 5y \: 2y = 32.70

 

Answer 2

Find the system of equations to model the problem. Do not solve the system. A paper company produces high grade, medium grade and low grade paper. The number of tons of each grade that is produced from a ton of pulp depends on the source of the pulp. The following table shows three different sources and the amount of each grade of paper that can be produced from one ton of pulp from each source.

 

(Number of tons)

 

High grade Low grade Low grade

Pulp of Brazil 0.6 0.3 0.1

Domestic pulp 0.5 0.3 0.2

Recycled pulp 0.3 0.4 0.3

 

 

The company has received an order for 11 tonnes of high grade paper, 15 tonnes of half grade paper and 14 tonnes of low grade paper. How many tonnes of each type of pulp should be used to accurately fulfill this order? It establishes a system of linear equations. Let x, y and z be equal to the number of tons of pulp in Brazil, domestic pulp and recycled pulp, respectively, that are needed to comply with the order.

 

Answer in complete sentence

 

Answer 3

BeThe imensión of AB is:

 

a.     3x3

b.     1x3

c.      3x1

d.      Multiplication can not be performed

 

ANSWER 4

 

Be C                 If the matrix E is defined by E=C-4D, The element of the position

 

a.5

b.-6

c.5

d. 10

 

Answer 5

 

Carry out the operation if possible A=

Find BA

 

 

a.BA is not defined

b.

 

 

 

 

 

c.

 

 

 

d.

 

 

 

Answer 6

 

Performs the row operations shown in the following matrix

 

 

 

a.     

 

b.

 

 

c.

 

 

Answer 7

 

Consider the system The determinant of the variable x is

 

 

a.    -6

b.    -18

c.    114

d.    -15

 

Answer 8

 

Since

Determine which of the following products is not defined

 

a.    DB

b.    BC

c.    DA

d.    AD

 

Answer 9

 

The determinant of matrix A  is

 

a.-46

b.0

c. 59

d.105

 

Answer 10

 

The corner points of the programming is:

 

a.    (0,4)(0,2)(0,0)

b.    (0,2)(2.8,1.2)(4,0),(0,0)

c.    (0,0),(0,2),(4,0)

d.    (0,4),(2.8,1.2),(4,0),(0,0)

 

Answer 11

 

The following system is classified as

 

 

a.    Inconsistent system

b.    Consistent system

c.    Dependent system

d.    Alternative system

 

 

Answer 12

 

A total of 340 people attended a play. The admission price was $ 2 for adults and $ 1 for children. The total receipts received were $ 490. How many adults and children did they attend?

 

a.150 adults and 190 children

b. 122 adults and 218 children

c. 190 adults and 150 children

d. 95 adults y 245 children

 

Answer 13

 

Solve the system of equations by substitution. X + y = -32, y = -28

 

a.    (-28,-4)

b.    (-4,28)

c.    Infinite solutions

d.    there is no solution

 

Answer 14

 

 

Solve the equation using the Gauss-Jordan reduction method.

 

 

a.    (2,-2)

b.    (-2,2)

c.    (-2,2)

d.    there is no solution

 

Answer 15

 

 

Write the matrix equation as a system of linear equations without matrices.

 

 

a.     

 

 

b.

 

x1=x2=-5

6x1-5x2=-8

 

c.

 

-8x1=x2=3

x1-5x2=-5

 

6x1-5x2=-8

AccountingQueen

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