Linear combination of matrices

Answer:

Where s represents silver and g represents gold,

Length constraint: s+g=240

Cost constraint: 0.04s+0.07g=15

s= 60

g=180

Step-by-step explanation:

The measurement of silver and gold threads in yards is given as 60 and 180 respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the number of yards for silver threads be x and that of gold be y.

Then the equation for the total yard is given as,

x + y = 240                  (1)

And, the equation for the cost is,

0.04x + 0.07y = 15      (2)

The value of x from equation (1) is x = 240 - y.

Substitute the value of x in equation (2) to obtain,

0.04(240 - y) + 0.07y = 15  

=> 9.6 - 0.04y + 0.07y = 15

=> 0.03y = 15 - 9.6

=> 0.03y = 5.4

=> y = 180

Substitute the value of y in x = 240 - y to obtain,

x = 240 - 180 = 60

Hence, the costume designer should get  silver and gold thread of 60 yards and 180 yards respectively.

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Answer: 832

Step-by-step explanation:

Below is how I solved it

You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!

2 x 6 = 12

2 x 10 = 20

6 x 50 = 300

50 x 10 = 500

500 + 300 + 20 + 12 = 832

52 x 16 = 832

If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.

1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.

1 cubic meter = 1000 liters

because, 1 liter = 1 decimeter³

1 meter = 10 decimeters

1 decimeter= 0.1 meters

1 liter = 0.1³ meter³

1 m³ = 1000 liters

Given:

In 1 hour the amount of water filled = 500 cubic meters

In half an hour the amount of water filled = 250 cubic meters

= 250,000 liters.

Therefore, 250,000 liters of water exists filled in the pool in half an hour.

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Answer: 33

Step-by-step explanation: hope this helps

Answer:

47

Step-by-step explanation:

just keep adding by 5

Answer:

28

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

i think its 3

Step-by-step explanation:

Answer:

232.05

Step-by-step explanation:

find out how much it started out with

so divide 46dollars and 50 cents by 3

then you'll have 15dollars and 5 cents

now you know thats how much earned at first you multiply by 15 and you get the answer above

good luck

Answer:

The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.

Step-by-step explanation:

Answer:

with what lol

Step-by-step explanation:

Answer:need me points

Step-by-step explanation:

Answer:

First,Third Only

Step-by-step explanation:

Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.

Standard form of a quadratic expression

[tex]ax^2+bx+c[/tex]

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

Answer:

Its the third option.

Step-by-step explanation:

No,  all points on the line are solutions of the equation.

Answer:

answer the last    yes because all the points meet

Step-by-step explanation:

Answer:

90 minutes

Step-by-step explanation:

See attachment for graph.

First, we need to determine the slope.

When y = 900, x = 0

When y = 600, x = 30

The slope is then calculated as:

m = (y2 - y1)/(x2 - x1)

m = (600 - 900)/(30 - 0)

m = -300/30

m = -10

Next, we determine the equation of the line using

y - y1 = m(x - x1)

So, we have:

y - 900 = -10(x - 0)

y - 900 = -10x

y = 900 - 10x

When the container is empty, y = 0.

So, we have:

0 = 900 - 10x

Collect Like Terms

10x = 900

Solve for x

x = 900/10

x = 90

Answer:

i think you have the right answer

Step-by-step explanation:

good job!

Answer:

A

Step-by-step explanation:

Unless the shape is dialatedthe side lengths remain constant because you are just moving its position ,

Answer: 16

Step-by-step explanation:

40 / 5 = 8 = 1/5 of 40

8 × 3 = 24 = 3/5 of 40

40 - 24 = 16

Answer:

20

Step-by-step explanation:

because 4x5 equals 20

The constant is 18

To find distance (d) you would multiply the constant by the time(t).

D = 18t

Distance is speed x time, so the given constant would be the speed of the ant.

Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.

Answer:

1.) Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2.) Mixture A

Step-by-step explanation:

Given the daya:

MIXTURE A

___Salt A(teaspoons _____water (Cups)

___4 _____________5

___7 _____________8 3/4

___9 _____________ 11 1/4

Mixture B is defined by the equation'

y = 2.5x ;

x = number of teaspoons of salt ;

y = number of cups of water

Respond to the following questions:

1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

For mixture B:

If number of cups of water, y = 10

y = 2.5x ; 10 = 2.5x

10/2.5 = x

x = 4 ; 4 teaspoons of salt

Let's write an equation in terms of y and x to represent mixture A.

Mixture A:

5 = k4

k = 5/4

k = 1.25

Equation for mixture A:

y = 1.25x

10 = 1.25x

10/1.25 = x

x = 8 ; 8 teaspoons of salt

Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2. Which mixture tastes saltier? Explain how you know.

Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.

1. Mixture A will use 4 more teaspoon of salt

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Recall:

From the information given:

Therefore, k = y/x

Equation for mixture B is given as: y = 2.5x

Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.

Using (4, 5):

Equation for Mixture A is: y = 1.25x

1. Let's find the mixture that will have more salt if y = 10 (cups of water).

Mixture A: y = 1.25x

10 = 1.25x

8 = x

x = 8

Mixture B: y = 2.5x

10 = 2.5x

4 = x

x = 4

Thus, Mixture A will use 4 more teaspoon of salt.

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

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Answer: 180

Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.

Answer:

The value is   [tex]p-value  =  0.22663[/tex]

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  [tex]H_o  :   p =  0.08[/tex]

    The alternative hypothesis is  [tex]H_a  :  p >  0.08[/tex]

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      [tex]p-value  =  P(Z > z)[/tex]

=>    [tex]p-value  =  P(Z > 0.75)[/tex]

From the z-table  

    [tex]P(Z > 0.75) =  0.22663[/tex]

So  

    [tex]p-value  =  0.22663[/tex]

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

Answer:

C. WP WB, WC, PB, PC, BC

Step-by-step explanation:

List the possible combinations. (With no duplicates)

WP, WB, WC

PB, PC

BC

Now check your options for the answer with the combinations you had.

That is your answer.

Answer:

x = -4

Step-by-step explanation:

8x-3=5(2x+1)

8x-3=10x+5

-3=2x+5

-8=2x

-4=x

Answer:

No. Since the value of the ratio

is not the same for each pair of​ values, the relationship is not proportional.​ So, an equation cannot be written for the situation. its c

Step-by-step explanation: