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Given the system of linear equations:

{x+6y=6 y= 1/3 x−2


Part A: Graph the system of linear equations.

Part B: Use the graph created in Part A to determine the solution to the system.

Part C: Algebraically verify the solution from a Part B

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

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

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

1/2-(-1/3+2/5)

= 1/2-(-0.33333333333333+2/5)

= 1/2-(-0.33333333333333+0.4)

= 1/2-(0.066666666666667)

= 1/2-0.066666666666667

= 0.5-0.066666666666667

= 0.43333333333333

Answer: 13/30 or 0.4333333333

Step-by-step explanation:

Just add and subtract them.

Correct me if I am incorrect.

Answer:

-5

Step-by-step explanation:

4x -2 = 8 + 6x

-2x = 10

x = -5

Answer:

A

Step-by-step explanation:

Consider all options and find f(3):

A.

Then

Not -5, so this option is false.

B.

Then

This option is true.

C.

Then

Not -5, so this option is false.

D.

Then

Not -5, so this option is false.

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

This is so because angle 3x - 6 must be between 0° and 24° since 36 > 34

By evaluation;

x < 10

Also,

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

Answer:

Your answer .

Step-by-step explanation:

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

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According to the calculation, 24 books can fit on the shelf.

Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:

Therefore, 24 books can fit on the shelf.

Learn more about maths in https://brainly.com/question/25879518

Answer:

6,174

Step-by-step explanation:

in total we have 20,160 rand.

3/10 of that is =  6048.

6048 rand is euros.

we now have a remaining 14,112 rand.

the rest of the rands is split up into 9:5:2

to find out how much one part equals we add 9, 5 and 2 together.

9 + 5 + 2 = 16.

We then divide the remaining 14,112 rand by 16 to find out one part.

14,112 / 16 = 882.

1 part = 882.

(dollars) 9 parts = 882 x 9 = 7,938 rand

(rupees) 5 parts = 882 x 5 = 4,410 rand

(francs) 2 parts = 882 x 2 = 1,764 rand

to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.

7, 938 - 1,764 = 6,174

Pieter changed 6,174 more rands into dollars than francs.

Hope this helped :)

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Read more about areas of triangles at:

https://brainly.com/question/9664477

Answer:

[tex]k\le \:-18[/tex]

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: [tex]k-66+66\le \:-84+66[/tex]

Finally, you simplify and get: [tex]k\le \:-18[/tex]

Hope this helped!

Answer:

(y/5)-6

Step-by-step explanation:

quotient is dividing, less than is subtracting

[tex]\text{Given that,}\\\\y = -\dfrac 4{15} x + 24\\\\\text{When x = 120,}\\\\y = -\dfrac 4{15} (120) + 24\\\\\implies y = - \dfrac{480}{15} +24\\\\\implies y=-32+24 \\\\\implies y = -8[/tex]

Answer:

(240 × 60)/100 = 144

Step-by-step explanation:

(Whole × Percent)/100 = Part

Answer:

25%

Step-by-step explanation:

60 times 4 is equal to 240.

1/4 is 25%

60 is 25% of 240

Answer: Alright, I did UnU

Answer:

I think that if u times it i will be 80 s and 320 f

Step-by-step explanation:

A) The number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

B)  32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

[tex]\huge \rm༆ Answer ༄[/tex]

The Correct choice is D

Consider two points (0 , 3) and (2 , -1), now let's find the slope ~

And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.

that is ~

Answer:

the answer is 9

Step-by-step explanation:

Answer:

It is the second one 20^247

Step-by-step explanation:

Answer:

x-y=12 or x=12+y??????

Step-by-step explanation:

6x+y=30

-2x-5y=18

Add the equations up: 4x-4y=48

Divide by 4

x-4y=12

Divide by 4 again

x-y=12

+y on both sides

x=12+y

(I might be wrong)

Answer:

[tex]x=6; y=-6[/tex]

Step-by-step explanation:

Unless you're required to use any particular method, let's add the first to twice the second to eliminate x:

[tex]6x+y-6x-15y=30+54 \rightarrow -14y=54 \rightarrow y=-6[/tex]

At this point let's plug this value of y in the first equation and find x:

[tex]6x+(-6)=30 \rightarrow x-1=5 \rightarrow x=6[/tex]