How many solutions can be found for the equation 3z + 2[z - 3) = 7z+12

Answers

Answer 1
Given :-

3z + 2(z - 3) = 7z + 12

Solution :-

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzAdmire

Answer 2
Given :-

3z + 2(z - 3) = 7z + 12

Solution :-

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzMaster


Related Questions

Find the measure of the marked angles.
The measure of the angles is
___ degrees

Answers

Answer:

43 degrees

Step-by-step explanation:

The angles are vertical angles. All vertical angles are congruent meaning that these 2 expressions can be set equal to each other. Then, solve for x and finally plug x back in to get the answer.

First, set of the equation

(4x+19)=(6x+7)

Then, subtract 7 from both sides

4x+12=6x

Next, subtract 4x both sides

12=2x

Finally, divide both sides by 2

x=6

Now, we can plug 6 into the expression given to show that both angles are 43 degrees.

250000 divided by 100

Answers

Answer:

250,000÷100 is equal to 2,500

Answer:

2500 is the answer

hope it helps u

mark as brainlist


Rikki got her haircut which cost $16. She gave the stylist a 25% tip. How much was the tip?
0/2

Answers

Answer:

$4

Step-by-step explanation:

Because 16*.25 is 4

Work out the volume of the frustrum please

Answers

Answer:

3744:\p=11756.16 m^2

Step-by-step explanation:

[tex] {12}^{2} \pi(18 + 9) - {4}^{2} \pi \times 9 = 3744\pi \: \: {m}^{2} [/tex]

A rectangular prism has a length of 14in, a height of 18in, and a width of 17in. What is
its volume, in cubic in?

Answers

Answer:

4284in

Step-by-step explanation:

Because 14*18*17 is 4284

[tex]\sf 10\times 5\times 11[/tex]

Answers

Answer:

[tex]\sf\longmapsto \: 550[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 50 \times 11[/tex]

[tex]\sf\longmapsto \: 550[/tex]

Answer:

[tex]\sf 550[/tex]

Step-by-step explanation:

[tex]10 \times 5 = 50 \\ [/tex]

[tex]50 \times 11 = 550[/tex]

Imagine you write the letters of the word GREAT on individual cards. You shuffle them, turn them facedown on a table, and turn over the top card. What is the probability of turning over an E?​

Answers

Answer:

that's hard

Step-by-step explanation:

Answer:

The probability of turning over E would be 1/5

Step-by-step explanation:

since there are 5 cards and there is an equal chance you could get any one of them, the probability is one (the amount of cards drawn) over five (the amount of cards total.)

Hope this helps :)

Solve: 2/3-4x+7/2=-9x+5/6 X=-3/2 X=-2/3 X=2/3 X=3/2

Answers

Answer:

x=2/3

Step-by-step explanation:

HELP ASAP I'LL GIVE BRAINIEST


Maggie was constructing a set of perpendicular lines with a compass and straightedge. However the teacher said that she made an error on her construction and she wants Maggie to fix her mistake. Find Maggie’s mistake and summarize what she did wrong and what she needs to do to fix the construction.

Answers

Answer: im wrong dont give me anything

She should’ve had her compass on the purple line, not above it, and draw the red and blue lines. Then draw the second line upwards from the intersection of the red and blue lines.

helppp please;;o8naeoicnpinepicanpinpaivandipsonasicnascicnqneci
qncoieafnpinpnasicnpiipceamcaoepcje

Answers

Answer:

See below.

Step-by-step explanation:

First question:

Think of the x-axis as a mirror. Quadrilateral is above the x-axis. Quadrilateral is below the x-axis. Quadrilateral ABCD was reflected across the x-axis. Quadrilateral A'B'C'D' is a mirror image of quadrilateral ABCD.

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'.

Second question:

Quadrilaterals ABCD and A"B"C"D" are both turned the same way. Quadrilateral A"B"C"D" is just moved left and down from quadrilateral ABCD. That transformation is called a translation.

Quadrilateral ABCD undergoes a translation 7 units left and 1 unit down to form quadrilateral A"B"C"D".

A recipe calls for 2/3 a cup of butter. Georgia wants to cut the recipe in half. How much butter would she need?

Answers

Answer: 1/3

Step-by-step explanation: 2/3 - 1/3 = 1/3

Which number is in the relations domain?

Answers

Answer:

-9

Step-by-step explanation:

domain is the x numbers so -9 is the only one that is under x

Mark solved the equation 23x=9 by using the Division Property of Equality to get x=6. Did Mark solve the equation correctly? Explain why or why not.

Answers

Answer:

wrong

Step-by-step explanation:

The division property states that when we have an equation in the form [tex]ax=b[/tex], then [tex]x=b/a[/tex](i.e. we "divide" by [tex]a[/tex] on both sides).

So, Mark was supposed to get [tex]x=9/23[/tex], which is not equal to [tex]6[/tex].

So, Mark solved it [tex]\boxed{wrong}[/tex]

No, Mark solve the equation correctly.

because, Mark was supposed to get x = 27/2 , which is not equal to x= 6.

The division property of equality applicable.

The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same. The formula for this property is if a = b, then a / c = b / c.

We have the following information available from the question is:

The equation is:

[tex]\frac{2}{3}x=9[/tex]

It solved by using the Division Property of Equality and get x = 6

If we solved for x: then,

x = 27/2

No, Mark solve the equation correctly.

So, Mark was supposed to get x = 27/2 , which is not equal to x= 6.

Learn more about Division property at:

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y = x - 5 and y = -x + 3

Answers

Answer:

Point form:

(4,-1)

x=4,y=-1

Step-by-step explanation:

Graph:

Answer:

x = 4 , y = -1

Step-by-step explanation:

Note that both equations equal y. Set the two equations equal to each other.

x - 5 = y = -x + 3

x - 5 = -x + 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, add x and 5 to both sides of the equations:

x (+x) - 5 (+5) = -x (+x) + 3 (+5)

x + x = 3 + 5

2x = 8

Next, divide 2 from both sides of the equation:

(2x)/2 = (8)/2

x = 8/2

x = 4

Plug in 4 for x in the given equations and solve:

y = x - 5

y = (4) - 5

y = -1

y = -x + 3

y = -(4) + 3

y = -1

x = 4 , y = -1 are your answers.

~

~

• Chocolate bars were sold for $2 each.
• Boxes of candy were sold for $1.50 each.
• The soccer team sold 168 items in total.

of the items sold, 3/4 were chocolate bars and the remaining items were boxes
candy.

How much money did the soccer team raise from the boxes of candy that were sold?

Answers

Answer:

63

Step-by-step explanation:

1/4 of 168 is 42 which is how many Boxes of Candy they sold

42 x 1.50 = 63

Answer:

From the sale of boxes of candy, the team made $63

Explanation:

We know that 3/4 of the sold items were chocolate bars. A fast trick to find 3/4ths, or 75%, of a number is to multiply it by 3 and divide by 4.

168 * 3 = 504

504 ÷ 4 = 126

Now, we do 168 - 126 to find the number of candy boxes.

168 - 126 = 42

So, the soccer team sold 42 boxes of candy. Since each box was $1.50, we just multiply

42 * 1.50 = 63

The soccer team made $63 dollars by selling candy boxes.

Note: This is just my way that I did quickly, there are many many other ways to do this. Try to find what's best for you.

Need help asap pls pls pls

Answers

(D) {-4, -1, 0, 1, 4 }

is the correct answer

The student council at Spendtoomuch High School is planning a school dance. The table below shows the budget for the dance.
School dance budget
Item Funds raised Expenses
Dance tickets
$
300
$300dollar sign, 300
DJ Denny
$

250
$−250dollar sign, minus, 250
Decorations
$

100
$−100dollar sign, minus, 100
What is the student council's expected profit?

Answers

Answer:

-$50.00

Step-by-step explanation:

Which function represents the graph

Answers

Answer:

A

Step-by-step explanation:

the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x

en el supermecado hay promociones de 2 refrescos a $3. cuantos me cuesta llevar el de los 37 chicos de mi clase y el mío

Answers

Answer:57

Step-by-step explanation:

please help me or I'm gonna fail math​

Answers

Answer:

As follows,

Step-by-step explanation:

a) Completely wrong,

Correction

x^2-7x+12

x^2-4x-3x+12

x(x-4)-3(x-4)

(x-3)(x-4)

b)Partially wrong

Correction

35x^2-5x

5x(7x-1)

Evaluate the expression 8 + 6 − (8 ÷ 4) x 2 using PEMDAS.

21
17
14
10

Answers

10. 8 divided by 4 is 2 times 2 is 4 8 plus 6 minus 4 is 10
Answer : 10
You can do all the work on a calculator

1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)

Answers

I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

What is Equation of line?

The equation of the line in slope-intercept form is expressed as:

y - y₁ = m(x - x₁)

where: m is the slope.

and (x₁, y₁) is the point on the line.

1. Given that;

Equation of the line as y = -x

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - (-8) )

y - 2 = x + 8

y = x + 8 + 2

y = x + 10

Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,

⇒ y = x + 10

2.  Given that;

Equation of the line as y = -x

Point as (8, 2)

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - 8 )

y - 2 = x - 8

y = x - 8 + 2

y = x - 6

Hence, The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

Thus,

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

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The point S(0, – 2) is translated 4 units left. What are the coordinates of the resulting point, S'?

Answers

Answer:

(-4, -2)

Step-by-step explanation:

When trying to find a translation left or right, add or subtract the X. Left would be subtraction so, subtract 4 units and this is what you get. (-4, -2)

find the value of s

Answers

Where is the letter s

Line m has a Slope Of -4/7 .Line n is perpendicular to m .What is the slope of line n?

Answers

Answer:

7/4

Step-by-step explanation:

x and y are exchanged for each other, and the sign is flipped.

The speed s (in miles per hour) of a car driving on dry asphalt can be given by s = 4.747 d, where d is the stopping distance
(in feet). What is the approximate stopping distance of a car traveling 30 miles per hour? Round your answer to the nearest
hundredth

Answers

Answer:

30mph

Step-by-step explanation:

i forgot how to show the problem....

Which linear inequality represents the solution set graphed?

A) y ≥ 4x + 5

B) y > 4x - 5

C) y ≥ 4x - 5

D) y > -4x - 5

Answers

Answer:

C

Step-by-step explanation:

first of all since the line is solid then we know that the answer is not D or B.

so it has to be either A or C.

now to graph it let's start with A.

you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.

now let's try with C.

you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.

Compare the values 4x107 is what times as much as 4x103

Answers

Answer:

[tex]10^{4}[/tex]

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

Answer:

10^4

Step-by-step explanation:

10^7-3

Hahaha that's all

An auditorium has 300 seats.at the beginning of a concert,100 people were in the auditorium.every 10 minutes,15 people leave and 40 people sit down.if this continues,how long will it take for the auditorium to be full?

Answers

The auditorium will be full after 80 minutes

The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full

Total number of people in the auditorium = 300

Every 10 minutes,15 people leave and 40 people sit down

Number of people joining the room every 10 minutes = 40 - 15

Number of people joining the room every 10 minutes = 25

The number of people originally in the room = 100

Number of people remaining for the auditorium to get full = 300 - 100

Number of people remaining for the auditorium to get full =  200

Number of times 25 people join the auditorium = 200/25

Number of times 25 people join the auditorium = 8

Since 25 people join every 10 minutes for 8 different times:

Time taken for the auditorium to be full = 10(8)

Time taken for the auditorium to be full = 80 minutes

Therefore, the auditorium will be full after 80 minutes

Learn more here: https://brainly.com/question/24962274

what is the value of x?

Answers

Answer:

x=18

Step-by-step explanation:

the sum of all the angles in a triangle is 180 degrees.

we can use this to get an equation:

5x-6 + 3x+13 + 2x-7 = 180

combine the x's to get:

10x-6-7+13=180

combine the numbers to get:

10x=180

divide both sides by 10 to get your answer:

x=18

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