HELP PLEASE! HAIR BUNDLES: B'UNIQUE Hair Salon owner buys seven hundred bags of a brand of synthetic hair bundles and four hundred bags of a brand of natural hair bundles for her Forestville and Largo locations to get ready to welcome back their clients for her reopening this weekend. The Forestville location receives three hundred bags of synthetic hair bundles and two hundred and fifty bags of natural hair bundles for a total retail value of twenty-three thousand, six hundred dollars. The Largo location receives four hundred bags of a brand of synthetic hair bundles and one hundred and fifty bags of a brand of natural hair bundles for a total retail value of twenty-four thousand, five hundred dollars. What is the retail value of one bag of a synthetic hair bundle and one bag of a natural hair bundle. In your answer, write a system of equations of how you would determine your answer. Provide evidence of your calculations and answer your result in a complete sentence.

The retail value of one bag of one bag of a synthetic hair bundle is $47 and the retail value of a bag of natural hair bundle is $38

Step-by-step explanation:

The given information are;

The number of bags of synthetic hair bundles the owner buys = 700

The number of bags of natural hair bundles the owner buys = 400

The number of synthetic hair bundles the Forestville location receives = 300

The number of natural hair bundles the Forestville location receives = 250

The total retail value of the hair bundles the Forestville location receives = $23,600

The number of synthetic hair bundles the Largo location receives = 400

The number of natural hair bundles the Forestville location receives = 150

The total retail value of the hair bundles the Largo location receives = $24,500

Let the price of a bag of synthetic hair bundle = x

Let the price of a bag of natural hair bundle = y

∴ 300·x + 250·y = $23,600...(1)

400·x + 150·y = $24,500...(2)

Making y the subject of the formula in both equations gives;

For equation (1)

y = 23,600/250 - 300/250·x = 94.4 - 1.2·x

y = 94.4 - 1.2·x

For equation (2)

400·x + 150·y = 24,500

y = 24,500/150 - 400/150·x = 490/3 - 8/3·x

y = 490/3 - 8/3·x

Finding the common solution gives;

490/3 - 8/3·x = 94.4 - 1.2·x

490/3 - 94.4 = 8/3·x  - 1.2·x

1034/15 = 22/15·x

x = 1034/15/(22/15) = 47

x = 47

∴ The price of a bag of synthetic hair bundle = x = $47

The price of a bag of synthetic hair bundle = $47

y = 490/3 - 8/3·x = 490/3 - 8/3 × 47 = 38

y = 38

The price of a bag of natural hair bundle = y = $38

The price of a bag of natural hair bundle = $38.

Therefore, the retail value of one bag of one bag of a synthetic hair bundle is $47 and the retail value of a bag of natural hair bundle is $38.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column