Classify the system and identify the number of solutions.
3x + 5y + 4z = −11
2x − 4y − z = −11
4x + 3y − 2z = 11

Answers

Answer 1

Answer:

Hello,

Step-by-step explanation:

Only one solution: x=-2, y=3,z=-5

Answer 2

Answer:

consistent, independent; one

Step-by-step explanation:

The solution is (−2, 3, −5). Because the system has one solution, it is consistent and independent.


Related Questions

Jennifer has a total of 25
marbles. She gives 5 marbles
to her friend, Elizabeth.
What fraction of marbles did
Elizabeth receive?

Answers

Answer:1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Ex) You pick a marble from a bag containing 2 blue marbles, 5 red marbles, and 3 purple marbles. You replace the marble and select a second marble.

need answer asap:
Shelby made a list of her test scores: 88,100,92,80,85,94,90. What is the lowest score she can get on her next test to have a mean score of 90?

ty pls answer quickk

Answers

......................

If 1 shoe equals 6.5 socks, how many socks are equivalent to 2.3 shoes?

Answers

The equivalent number of socks to 2.3 shoes is 14.95 socks

Ratio and proportions

Fractions are expression written as a ratio of two integers. For instance If 1 shoe equals 6.5 socks, this can be written as:

1 shoe = 6.5 socks

In order to determine the number of socks for 2.3 shoes, we will have:

2.3 shoes = x socks

Determine the ratio

1/2.3 = 6.5/x

Cross multiply

1 * x = 2.3 * 6.5

x =  2.3 * 6.5

x = 14.95

Hence the equivalent number of socks to 2.3 shoes is 14.95 socks

Learn more on proportion here: https://brainly.com/question/19994681

#SPJ1

What's the answer someone please help!

Answers

Step-by-step explanation:

Across

1.26

2.59

3.19

5.38

6.82

7.62

8.48

9.72

11.40

12.64

Down

1.24

2.59

3.18

4 42

5.32

6.88

7.65

8.42

9.70

10.34

If an employee at Tacos R US gets paid $11.50 per hour. Find his net pay if the
employee works 38 hours in that one week. Employee has a 10% federal tax rate. SS
tax is 6.2% and Medicare tax is 1.45%

Answers

the net pay (weekly) is $359.87

How to find the net pay?

First, we know that the employee wins $11.50 per hour. The employee works 38 hours per week, then the weekly pay is:

38*$11.50  = $437

Now we need to discount the taxes:

There are 10% from federal tax, 6.2% from social services and 1.45% from medicare.

The total is:

10% + 6.2% + 1.45% = 17.65%

Then we need to discount a 17.65% of the weekly pay, we will get:

$437*(1 - 17.65%/100%) = $437*(1 - 0.1765) = $359.87

We conclude that the net pay (weekly) is $359.87

If you want to learn more about taxes:

https://brainly.com/question/9437038

#SPJ1

find the lcm of the following set of number using decomposition method.
8,16 and 24 =lcm=

Answers

Answer:

48

Step-by-step explanation:

[tex]\mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

LCM of 8, 16 and 24

Decompose to prime factors
8/2 = 4; 4/2 = 2. So 8 = 2 x 2 x 2

16 =  8 x 2  = (2 x 2 x 2) x 2

24 =  8 x 3 = (2 x 2 x 2) x 3

2 x 2 x 2 is common, 2 appears once more as a factor in 16 and 3 appears in 24 so the LCM = (2 x 2 x 2) x 2 x 3 = 48

4. To make a specific hair dye, a hair stylist uses a ratio of 1 } oz of red tone, À oz of gray
tone, and oo | ur
Oz of brown tone.
a.
If the stylist needs to
b.
make 20 oz of dye, how much of each dye color is needed?
If the stylist needs to make 100 oz of dye, how much of each dye color is needed?

Answers

The answers to both the questions are as follows:

We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.

The quantity of specific hair dye produced by given ingredients are:

= 1(1/8) + 3/4 + 5/8= 9/8 + 3/4 + 5/8= (9+6+5)/8 = 20/8 = 5/2oz

As a result, the amount of specific hair dye produced by given ingredients = 5/2qz

To calculate the amount of each ingredient needed to make 1 oz of specific hair dye, multiply the reciprocal of 5/2 by each ingredient.

The amount of red tone required to make 1 oz of a specific dye:

= 3/8 × 2/5 = 3/20 oz

Gray tone = 3/1 × 2/5 = 3/10 Oz Brown tone =  5/8 × 2/5 = 1/4 Oz=

Now, multiply each by 20.

The amount of red tone required to make 20 oz of a specific dye:

3/20 × 20 = 3 oz

Gray tone = 3/10 × 20 = 6oz Brown tone = 1/4 × 20 = 5oz

To find each dye needed to make 100 ounces of dye, multiply the above amounts by 5.

(Since, 100 = 20 × 5)

The amount of red tone required to make 20 oz of specific dye: 15oz

Gray tone is similar: 30 ozBrown tone is: 25 oz

Therefore, the answers to both the questions are as follows:

We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.

Know more about ratios here:

https://brainly.com/question/2328454

#SPJ9

The correct question is given below:
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of a gray tone, and 5/8 ounces of brown tone. If the stylist needs to make 20 ounces of dye, how much of each dye color is needed? If the stylist needs to make 100 ounces of dye, how much of each dye color is needed?

Evaluate 13a+4b when a = 2 and b = 5

Answers

Answer:

46

Step-by-step explanation:

13a+4b

Substitute

13(2)+4(5)

Multiply

26+20

Add

46

When time equals 0, why is the temperature in the oven not equal to 0? Why does the temperature eventually oscillate around 350°F?

Answers

The ambient temperature, aka the outside air temperature, isn't 0 degrees Fahrenheit. This is the reason why the oven isn't at 0 degrees Fahrenheit when the oven is off. For example, if it is 68 degrees Fahrenheit outside, then the oven's temperature is likely around this figure when it is off.

------------------------------

The way the oven works is that it heats the air using a gas or electric source. Once reaching 350 or slightly higher, the oven burner will turn off for a set period of time. This is so the temperature doesn't go too far over 350.

After the burner is turned off, the air inside the oven is still really hot and will stay around 350 for a while. But the temperature will slowly decrease. Once dipping slightly below 350, the oven will turn back on to heat back up to 350 again. This process repeats over and over.

This explains why you see the oscillating bouncing curve like this. It also explains why ovens seem to go on or off in the middle of a baking session.

what is 3x + 7 = 5x + 15?

Answers

Answer:

Step-by-step explanation:

if solved for x the answer is x=−4

step wise step

3x+7= 5x+15

3x-5x=15-7

-2x=8

x=8÷2

×=4

Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

For the given question options C, D and E are correct answers.

Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.

What are the exterior angles of a triangle?

When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.

Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)

m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)

m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)

Therefore, options C, D and E are correct answers.

To learn more about the exterior angles visit:

https://brainly.com/question/11379452.

#SPJ1

GRAPH the line y=kx+4 goes through point (2,-2)
Please answer sketch the graph of the line

Answers

Answer:

Step-by-step explanation:

First plug in the values for x and y:

y=-2
x=2

-2=2k+4

Then just simplify to get k:
-2=2k+4
Minus 4 from both sides
-6=2k
Divide each side by 2
k=-3



I hope this helps!

Kenny and his family went on a backpacking trip. They started hiking at 3:48 P.M. It took 2 hours and 59 minutes to reach their campsite. After they arrived, it took 1 hour and 35 minutes to set up the campsite. What time was it when Kenny and his family finished setting up their campsite?

Answers

Based on the time that it took Kenny and his family to reach the campsite and set it up, the time when they finished setting up the campsite was 8:22 pm

How to find the time taken to set up?

First, find the time that Kenny and his family reached their campsite:
= 3:48 pm + 2 hours 59 minutes

= 6:47 pm

After getting to the campsite at 6:47 pm, Kenny and his family took 1 hour 35 minutes to finish setting up their campsite:

= 6:47 pm + 1 hour 35 minutes

= 8:22 pm

In conclusion, Kenny and his family finished setting up at 8:22 pm.

Find out more on time taken at https://brainly.com/question/17007404

#SPJ1

Paulette is paid 2 1/2 % commission on all sales, and an extra 1 1/2 % on all sales over $6,500. Her sales last week totaled $17,400. What were her total earnings for the week?

Answers

The total earnings in the form of commission for Paulette is $ 598.5.

Commission till sales of $ 6,500 = 2 1/2 %

So amount of commission will be

A = 5 / 200 × 17400

A = 5 / 2 × 174

A = $ 435

Extra commission:

E = 3 / 200 × ( 17400-6500)

E = 3 / 200 × 10900

E = 3 / 2 × 109

E = $ 163.5

Total commission = $ 435 + $ 163.5

T = $ 598.5

Therefore, the total earnings in the form of commission for Paulette is $ 598.5.

Learn more about commission here:

https://brainly.com/question/957886

#SPJ1

If angle YXZ measures 90 degrees, which statement is true?

A. segment XZ is perpendicular to segment WY


B. WX =XY


C. segment XZ is a perpendicular bisector of segment WY


D. X is the midpoint of segment WY

Answers

Answer:

The 1st option is correct.

We are not clear that WX = XY.

3rd is is not correct.

4th option is also incorrect.

What is: 14 - (-20) + (-13)

Answers

Answer:

21

Step-by-step explanation:

14 - (-20) + (-13) =

= 14 + 20 - 13

= 34 - 13

= 21

If the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second. What are the integers?

Answers

Answer:

gg

Step-by-step explanation:

Answer:

Three consecutive integers are 43, 44, 45

Step-by-step explanation:

Let three consecutive integers be x, (x + 1), (x + 2)

According to the question, if the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second.

[tex] \therefore [/tex]

[tex] \implies \rm 132 - (x + 2) = x + (x + 1) \\ \\ \implies \rm 132 - x - 2 = x + x + 1 \\ \\ \implies \rm 130 - x = 2x + 1 \\ \\ \implies \rm 130 - 1 = 2x + x \\ \\ \implies \rm 129 = 3x \\ \\ \implies \rm 3x = 129 \\ \\ \implies \rm x = \frac{129}{3} \\ \\ \implies \rm x = 43[/tex]

So,

The integers are as follows:

x = 43

x + 1 = 44

x + 2 = 45

Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.

Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.

kx+y = 3
25x+ky = 3

The system has a unique solution when k =

Answers

Answer:

12+2=14odokxjxnxnxnxnjskaowoowsjd

On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050. On December 31, 2020, Akron, Inc., acquires an additional 25 percent of Zip Company's outstanding common stock for $94,000.



During the next two years, the following information is available for Zip Company:



Income Dividends Declared Common Stock
Fair Value (12/31)
2019 $321,000
2020 $79,000 $6,200 376,000
2021 89,000 15,800 478,000


At December 31, 2020, Zip reports a net book value of $280,000. Akron attributed any excess of its 30 percent share of Zip's fair over book value to its share of Zip's franchise agreements. The franchise agreements had a remaining life of 10 years at December 31, 2020.

On Akron’s December 31, 2021, balance sheet, what amount is reported for the Investment in Zip account?

Answers

The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400, which is the fair value of the Common Stock of Zip Company.

What is the fair value of an investment?

The fair value of an investment is the current value and not the historical cost when the investment was made.

Fair value refers to the intrinsic worth of an asset or security.

Data and Calculations:

           Income   Dividends     Common Stock      Akron's Investment

                           Declared      Fair Value (12/31)     in Zip Company

2019                                             $321,000         $16,050 ($321,000 x 5%)

2020  $79,000   $6,200             376,000        $94,000 ($376,000 x 25%)

2021     89,000    15,800             478,000        $143,400 ($478,000 x 30%)

Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).

Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400.

Learn more about the fair value of an investment at https://brainly.com/question/13219936

#SPJ1

If √128 = 2k , find the value of k.

Answers

Answer: k=[tex]{4\sqrt{2}[/tex]

Step-by-step explanation:

√128 = 2k

k=[tex]\frac{\sqrt{128}}{2}[/tex]

k=[tex]\frac{\sqrt{64*2}}{2}[/tex]

k=[tex]\frac{8\sqrt{2}}{2}[/tex]

k=[tex]{4\sqrt{2}[/tex]

Find an equation for the line tangent to the circle
x2 + y2 = 100
at the point
(8, −6).


Answers

First, this circle has center at the origin with a radius of 10. Draw this picture.
Second, plot the point (-6,8) on the circle.
Third, draw a radius from the origin to this point. You should be able to determine the SLOPE of this radius. Since slope is -8/6, this reduces to -4/3.
Fourth, use the point-slope form to find the equation:
y - y1 = m ( x - x1)
y - 8 = -4/3 ( x - -6 )
y - 8 = -4/3 ( x + 6 ) This is the Point-Slope form of the equation.
Fifth, sometimes the question specifies the Slope-Intercept form of the equation. If that is the case, then you only have 2 steps left. First, distribute the -4/3 on the right side of the equation.
y - 8 = -4/3(x) + 8 Now, we isolate the "y" by adding 8 to both sides of the equation.
+8 +8
_________________
y = -4/3(x) + 16

If segment AB has a midpoint coordinate at (0, -2) and one endpoint is A(4, 2), what is
the coordinate of the other endpoint B?

Answers

( -8 , -8) are the coordinate of the other endpoint B .

What is coordinate ?

To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.Geographic coordinates, namely latitude and longitude, also known as "GPS coordinates," are the applicable literal sense of the word "coordinates." However, (s)he isn't actually expecting a response with coordinates; it's merely a lighthearted manner to inquire as to where you are right now.

the coordinates of the second endpoint are  ( x₂, y₂ )

 x = x₁ + x₂/2      

  0 = 4 + 0/2

   x₂  = -8

y = y₁  + y₂/2

-2 = 2 + y₂/2

-2 -2 = y₂/2

- 8  = y₂

( -8 , -8) are the coordinate of the other endpoint B .

Learn more about coordinate

brainly.com/question/27749090

#SPJ9

Decide whether the conditional statement is true or false:
It is noon when the clock strikes 12.

Answers

Answer:

True, When the clock transitions from 11:59am to 12:00pm, it is the first hour of noon.

Step-by-step explanation:

A 14 yo client with type 1 diabetes
Heighing 110 pounds has on attack of
hypoglycemia. He has been prescribed
0.5g/kg of 50%. dextrose. The 50%
dextrose is supplied in 0.5mg/ml
Prefilled syringes. Calculate the dosage for
the client by converting the weight into Kilograms and the amount of
dextrose in syringe into grams.

Answers

Answer:

Step-by-step explanation: it will be having 10 kg each

Pre algebra pick a yes or no

Answers

Answer:

see explanation

Step-by-step explanation:

to determine if the values of y are a solution to the equation, substitute the values of y into the left side and if equal to the right side then they are a solution.

y = 70

[tex]\frac{70}{7}[/tex] - 1 = 10 - 1 = 9 ≠ - 2 → NO

y = 56

[tex]\frac{56}{7}[/tex] - 1 = 8 - 1 = 7 ≠ - 2 → NO

y = - 7

[tex]\frac{-7}{7}[/tex] - 1 = - 1 - 1 = - 2 → YES

y = 0

[tex]\frac{0}{7}[/tex] - 1 = 0 - 1 = - 1 ≠ - 2 → NO

Answer:

Yes. I think that is a pre algebre question.

f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2

There are _____ Zeros( how many)

Answers

The number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5

What are polynomial expressions?

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the number of zeros?

The polynomial expression is given as

f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2

The degree of the above polynomial expression is

degree = 5

The degree of a polynomial expression is the number of zeros of the polynomial

This means that

Zeros = 5

Hence, the number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5

Read more about polynomial at

https://brainly.com/question/17517586

#SPJ1

the midpoint of AB is M (2,0). if the coordinates of A are (-3,3), what are the coordinates of B?

Answers

Hence , the coordinate of point B is (7 , -3) .

Midpoint refers to some extent that's within the middle of the road connexion 2 points. A centre could be a purpose lying between 2 points and is within the middle of the road connexion the 2 points. If a line is drawn connexion the 2 points, then the centre could be a purpose at the center of the road and is equal from the 2 points.The centre formula is outlined for the points within the coordinate axes. Let (x₁), (y₁) and (x₂), (y₂) be the endpoints of a line section is given by  M = (x₁ + x₂ /2 , y₁ + y₂ /2 ).

We have given two coordinate A (-3,3) and M (2,0) .

Let the coordinate of B (x, y) .

Using midpoint formula , we get

[tex](2,0) = ( \frac{-3+x}{2} ,\frac{3+y}{2} )[/tex]

On comparing , we get

[tex]\frac{-3+x}{2} =2\\\ \\-3+x = 4\\x = 7[/tex]

[tex]\frac{3+y}{2} =0\\3+y=0\\y=-3[/tex]

We get coordinate (7 , -3) .

Learn more about midpoint formula here :

https://brainly.com/question/5566419

#SPJ9

To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her 8 hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself.

How long will it take Tracy and Dave to complete the task together?

Answers

Tracy and Dave  together complete the task in [tex]\frac{24}{5}[/tex] hours

Given Tracy alone  take 8 hours to complete work and dave alone take 12 hours to complete the work.

Let's say together they worked in x hours

⇒in 1 hour they worked  [tex]\frac{1}{x}[/tex]th part of the work

Tracy herself worked 8 hours to complete the whole task

⇒ in 1 hour Tracy completes [tex]\frac{1}{8}[/tex]th part of the task

Dave himself worked 8 hours to complete the whole task

⇒ in 1 hour Dave completes [tex]\frac{1}{12}[/tex]th part of the task

By proportions

⇒[tex]\frac{1}{8}[/tex]+[tex]\frac{1}{12}[/tex]=[tex]\frac{1}{x}[/tex] { using operation addition}

⇒ x=  [tex]\frac{24}{5}[/tex]  

Therefore,Tracy and Dave  together complete the task in [tex]\frac{24}{5}[/tex] hours

Learn more about hour here:

https://brainly.com/question/13533620

#SPJ9

2,414(goal) each person pays 34 how many people need to come to reach that goal

Answers

The required number of people that contribute 34 pays in the goal of 2414 is 71.

What is arithmetic?

According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.

Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71

Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ1

helpnsisiisisisisiwiwiwi​

Answers

Answer:

For Ai - P = 4 , Q = 4 , R = 4

For Aii - P = 3 , Q = 4 , R = 5

For Aiii - b^13 × b^-2 / b^1 = b^10

Step-by-step explanation:

I hope this is correct answer.

the answer is - a^12
Other Questions
please help!! will mark branliest if correct!!! Pedro uses cardboard to make a model of a square pyramid. The edges of the base of the model are 5 in. long. The height of each triangular face is 4 in. What is the area of the cardboard in Pedro's model? Show your work. 3 waves are shown with a line through their center. The bottom of the first wave is labeled C. A bracket labeled D connects the bottom of the second and third waves. A line from the center to the top of the first wave is labeled A. The line leading to the top is labeled B.Label the parts of this wave.A: B: C: D A 150. 0 ml sample of an aqueous solution at 25c contains 15. 2 mg of an unknown nonelectrolyte compound. If the solution has an osmotic pressure of 8. 44 torr, what is the molar mass of the unknown compound?. Do some research and find out whether the Pascaline calculator is a computer according to the Turing model. What is the step by step formula for figuring out a home mortgage? Answer this question please whogave georgia more land after the french and indian war Which of the following describes what good good writers are trying to achieve by varying the length of their sentences Why are floods most common in the spring and summer in Mississippi? What number makes the equation true? -5 + (Blank) = -7 1/3Please hurry! Folding of the _________ allows for its __________""square-foot surface area to fit into the skull. a. cerebral cortex . . .1.5 b. corpus callosum . . . 2.5 c. right hemisphere . . . 2.5 d. cerebrum . . .1.5 please select the best answer from the choices provided a b c d Find the radius of a circle that has an area of 121 pi ft2. The Internet makes communicating with othersA. more difficult.B. nearly impossible.C. very expensive.D. easier Lydia was doing without realizing it was based on Whole Number Properties. In what way did Puritan theology contribute to their support for the enslavement of Africans? Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.36,12,4,... it's suppose to be travel and tourism Tad has run into some issues on his most recent government-sponsored recreation site regarding zoning issues and land use. What should Tad have researched more before embarking on this project to avoid zoning and land use issues? A. community input B. state regulations and civic bylaws C. financial stability D. creative rights Factor the expression: 1.5x + 6 You buy a stock that has a price of $50 per share. A week later the stock's price drops to $25 per share (it's lost half its value). If you are affected by loss aversion you would be likely to...1. Do nothing2.Buy more shares3. sell the shares4.look for other stocks to buy