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AlekseyPX
2 years ago
5

The donaldson furniture company produces three types of rocking​ chairs: the​ children's model, the standard​ model, and the exe

cutive model. each chair is made in three​ stages: cutting,​ construction, and finishing. stage ​children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for​ cutting, 9292 hours for​ construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.
Mathematics
1 answer:
kirza4 [7]2 years ago
5 0
<span>the question is 3 variable equation solution the three equation will be 5x+4y+7z=152 3x+2y+5z=92 2x+2y+4z=74 solving by elimination we get x=11,y=12,z=7</span>
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Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y
kotykmax [81]

Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

xy

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy  ............... 1

-x + (-y) = - x - y

            = - (x + y)  .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

3 0
2 years ago
Jonathan has a bag that has 2 red marbles and 3 blue marbles inside of it if you were to pick one marble from the bag without lo
Vika [28.1K]
There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.

When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.

Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.

Divide 2 by 5

2/5

That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get

2/5
= 0.4
= 40%

Those are all acceptable answers.
Have an awesome day! :)
8 0
2 years ago
The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which
Ksenya-84 [330]

They diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right angle with legs that are diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.


0 0
2 years ago
Read 2 more answers
Let the random variable x have a discrete uniform distribution on the integers 8 ≤ x ≤ 10. determine the mean, μ, and variance,
arsen [322]
The discrete uniform distribution is on the interval 8 ≤ x ≤ 10.
Therefore the probability density function (shown in the figure) is
P(x) = 1/3 = 1/3 for x = 8, 9, 10
       = 0 otherwse

The mean is μ = 1/3.

The variance is 
σ² = Σp(x) (x- μ)²

Because x - μ = 0 for x = 8,9,10, therefore
σ² = 0

Answer:
μ = 1/3
σ² = 0

8 0
2 years ago
Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,
taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at  (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point (x_1,y_1) and end point (x_2,y_2) in the ratio m:n, we use the formula

Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )

(x_1,y_1)=(2, -1), (x_2,y_2)=?, Q(x,y)=(4,1), m:n=1:4

Therefore:

(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)

The correct option is A.

6 0
2 years ago
Read 2 more answers
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