A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles

Answers

Answer 1

Answer:

a. Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

b) Ending Inventory: Matrix D:

                            Hard      Soft      Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

Step-by-step explanation:

a) Data and Calculations:

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

Restocking: Matrix C

                           Hard    Soft       Plastic

San Francisco     500   1,400      1,400

Los Angeles       600      600       600

Total Sales over the first 6 months =

Matrix B * 6 = Matrix B6

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

* 6

=

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Matrix C6 = Matrix C * 6

=

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

Inventory at the end of June =

Matrix A + Matrix C6 - Matrix B6

= Matrix D

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

+

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

-

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Ending Inventory: Matrix D:

                             Hard      Soft       Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200


Related Questions

Which two integers does the square root of 99 lie between?

Answers

Answer:  the square root of 99 lies somewhere between 9.9 and 10.

Step-by-step explanation:

Answer:9 and 10

Step-by-step explanation:

it was hw

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

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Evaluate this expression for a = 2 and b= 3.

Answers

Answer:

16

Step-by-step explanation:

replace a with 2 and b with 3 in the expression and solve as follows

(2 + 5)-3 / 3-4 + 2(3+3)/ 2

7 - 3/-1 +12/2

14 + 6 +12/2

32 / 2

16

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)

A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2


Answers

Answer:

D) [tex]\frac{-3}{2}[/tex]

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the points are (-4,10) and (4,-2)

we have to find that the slope of the line

Step(ii):-

Solution:-

                   [tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                  [tex]m = \frac{-2-10}{4-(-4) }[/tex]

                 [tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]

Final answer:-

The slope of the line m =  [tex]\frac{-3}{2}[/tex]


[tex] - x - 3 + x = \sqrt{9 - 2x} + x[/tex]

Answers

This is the answer
Thank you

Answer:

x= -8

Step-by-step explanation:

PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.

Answers

Hey! I believe this is correct :) If you have any questions, feel free to ask!

Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.

Answers

Answer:

NO

Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.

A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?

Answers

rate*time=job
r*60 minutes =5 cakes
60r=5, divide off 60 to find her rate
r=1/12
1/12 * c minutes =job
i’m not sure if there’s meant to be a value for the C but if so just divide the time in minutes by twelve for the amount of cakes she would bake

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Find the values of x, y, and z.

Answers

Answer:

x = 20°

y = 160°

z = 160°

Step-by-step explanation:

x = 20°

(Measure of arc is equal to the measure of its corresponding central angle)

z = 180° - 20°

(Linear pair angles)

z = 160°

y = z

(Measure of arc is equal to the measure of its corresponding central angle)

y = 160°

20, 160, 160 hope it helps

choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure do you get? in what quadrants does this figure lie in?

Answers

Answer:

The figure is a straight line.

The figure lies in the first and the third quadrants.

Step-by-step explanation:

Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]

Here, the first and second coordinates are equal.

Now, plot these points and connect them.

From the graph, it can be observed that the figure is a straight line.

Also, the figure lies in the first and the third quadrants.

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

Answers

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

Mr. D’Alton made some radium in his lab. He used kg of the radium every time he 5 2ran his experiment. If he did the experiment four times and had kg left, how much2 3 1radium did Mr. D’Alton make at first?

Answers

Answer:

no lo sé por eso te lo escribo en español

Who is good at accounting

Please answer

Answers

Answer:

I'm

Step-by-step explanation:

does this question make any sense ?

What’s this shape called?

Answers

Answer:

This shape is called triangle

The shape is a concave polygon

Jerry has a bag of counters.
Inside his bag are

2 blue
4 green
5 red and
9 yellow counters
Jerry is going to take a counter at random from his bag.
Write the correct colours to complete these sentences.

The probability that it will be ..................... is 0.2

Answers

Blue is the answer....

The solution is 4 green

The probability of choosing a green counter from the bag is 0.2

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a green counter be = P

Now , the value of P is

Let the total number of blue counters be G = 2

Let the total number of green counters be G = 4

Let the total number of red counters be G = 5

Let the total number of yellow counters be G = 9

So , the total number of counters = number of blue counters + number of green counters + number of red counters + number of yellow counters

Substituting the values in the equation , we get

The total number of counters = 2 + 4 + 5 + 9

The total number of counters = 20

Now , the probability of choosing the green counter P = total number of green counters / total number of counters

Substituting the values in the equation , we get

Probability of choosing the green counter P = 4/20

Probability of choosing the green counter P = 2/10

Probability of choosing the green counter P = 0.2

Therefore , the value of P is 0.2

Hence , the probability of choosing green counter is 0.2

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HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT


if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin

Answers

Answer:

( -1 , -2 )

Step-by-step explanation:

Show mathematically why the ratio 15:10 is not equal to 10:15

Answers

Answer:

Hello here is my answer

Step-by-step explanation:

The 2 ratios are 15:10 and 10:15

multiply the numbers of the first ratio with the last number if the second ratio, which means,

15*15=225

10*15=150

we get 225:150

now we multiply the numbers of the second ratio with the last number if the first ratio.which means,

10*10=100

15*10= 150

now compare bot of them

225:150::100:150

we see that 225:150>100:150

hence proven that 15:10 is not equal to 10:15

6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!

Answers

18

Explanation:
4x6=24
2x3=6
24-6=18

Hope this helps!:)

Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you

Answers

a

Step-by-step explanation:

Please please please answer this and show the steps. I’ll give Branliest to whoever replies first

Answers

Answer:

x = -3

y = 4

Step-by-step explanation:

distribute first

7x + 35 = 2y + 6

combine 'like terms'

7x - 2y = -29

do same steps for second equation

4x + 4y = 13 + 3x

x + 4y = 13

System of Equations:

7x - 2y = -29

x + 4y = 13

Multiply the first equation by 2 to eliminate the 'y-term'

  14x - 4y = -58    (Now add this to the second equation)

+  x + 4y = 13

  15x = -45

x = -3

Substitute -3 for 'x' to find 'y'

-3 + 4y = 13

4y = 16

y = 4

Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =

Answers

Step-by-step explanation:

r = 7x + 7y

8 = 7x + 7 ×2

8 = 7x + 14

7x = 14 - 8

7x = 6

X = 6 / 7

Answer:

it's clear right

Step-by-step explanation:

i hope it's helps

Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)

Answers

A is correct, (x-4)(x-5)

The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.

What is trinomial?

A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.

To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:

[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]

Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.

You can factor the trinomial as (x - 4)(x - 5).

Thus, the correct option is A.

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Item 3
Solve for a.

a+(−4)=−13




a=−17

a=−9

a = 9

a = 17

Answers

Answer:

a = -9

Step-by-step explanation:

a+(-4)=-13

add 4 to each side

a-4+4 = -13+4

a = -9

Answer:

a = - 9

Step-by-step explanation:

a  + (-4) = -13

Add  4 to both sides

a + (-4) + 4 = -13 + 4

       a + 0 = -9

        a = -9

When two numbers have different sign, subtract and the result will have the sign of the bigger number

Which is the directrix of a parabola with equation x2 = 8y?
O y = 2
O X=-2
O y=-2
O X=2

Answers

Answer:

Y=-2

Step-by-step explanation:

You would use the vertex form to find the directrix

The directrix is a horizontal line that is y = -2.

Option C is the correct answer.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x-h)^2 + k

We have,

The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.

To find the value of p, we need to rewrite the equation of the parabola in the standard form:

x² = 8y

Dividing both sides by 8, we get:

x²/8 = y

Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.

Therefore,

The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).

i.e

y = -2.

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Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?

Answers

there are 4 people in total
(including herself)
so 36 smarties should be evenly distributed among 4 people

so answer = 36/4 = 9

Why is California at higher risk for earthquakes than North Dakota

( Also i know this isnt math but people answer faster when its in math )

Answers

California is at higher risks for earthquakes, because it near the Pacific Ocean

Solve for the variable: (x – 3)2 = 0

Answers

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

Answer:

thw answer is x=3

Step-by-step explanation:

hoped I helped:)

-7(-2w-2y+4) distributive property to remove the parentheses

Answers

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distributive:

14w + 14y - 28

good luck, hope this helps :)

pls just solve its 7th grade not hard :)

Answers

The solving is :

4x = 336
x= 84

The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.

Answers

Answer:

1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2

Step-by-step explanation:

Let's solve your problem step by step:

First side should be: 2x+4

Because 2 times the second side =, and 4 longer than that.

Second side should be: x

This is the base of the equation, since all the numbers depend on "x"

Third side should be: (3x+4)-5

Because x + x+4, and the third side is 5 shorter..

We add all and we get 72.

Solve for x.

x=23/2

Now, we can solve for other sides, by doubling it and adding 4.

This is answer is correct, I tried it. :)

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