3x+6=-3(2x+4)


Show your work

Answers

Answer 1

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3x + 6 = -3(2x + 4)[/tex]

-Use Distributive Property:

[tex]3x + 6 = -3(2x + 4)[/tex]

[tex]3x + 6 = -6x - 12[/tex]

-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:

[tex]3x + 6 + 6x = -6x + 6x - 12[/tex]

[tex]9x + 6 = -12[/tex]

-Subtract both sides by [tex]6[/tex]:

[tex]9x + 6 - 6 = -12 - 6[/tex]

[tex]9x = -18[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9x}{9} = \frac{-18}{9}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-2[/tex].


Related Questions

Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?


14%

24%

48%

36%

Answers

Answer:

24% is the answer

Step-by-step explanation:

What is the Remainder when using long Division?​

Answers

Answer:

it's the number that u end up with at the bottomof the division process. hope this helps...

Step-by-step explanation:

Answer:

[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]

Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?

Answers

Answer:

14:8

Step-by-step explanation:

Please help, Fake answers = report

Answers

Answer:  3400 feet

========================================================

Explanation:

Let

A = (-5, -3)B = (-5, 5)C = (4, 5)D = (4, -3)

be the labels for buildings 1 through 4 in that order.

You could use the distance formula to calculate the distance between each adjacent point, and then add up those values.

A quicker way is to plot all four points on the same xy grid system. Then simply count the spaces between each point to find that

AB = 8BC = 9CD = 8DA = 9

See below for the diagram.

Essentially we have rectangle ABCD with base 9 and height 8

The perimeter of this rectangle is 8+9+8+9 = 34

The problem tells us that 1 unit on the grid represents 100 feet. Since the perimeter was 34, this scales up to 34*100 = 3400 feet that the courier traveled.

This is a little over half a mile since 1 mile = 5280 ft and 3400 ft = 3400/5280 = 0.64 miles approximately.

Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.

Answers

Answer:

Step-by-step explanation:

Given

Volume of cylinder =36π

Radius of cylinder=3cm

Volume of cylinder=πr^2h

πr^2h=36π

r^2h=36. ( π cancel from both side)

3×3×h=36

h=36/9

h=4cm

Answer:

h=4cm

Step-by-step explanation:

Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5

Answers

Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26

Answers

Answer:

s = 54/31

r= -156/31

t= -17/31

Step-by-step explanation:

A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?

Multiply your answer in the first question (the number of weeks) by 34.

Answers

11 weeks hope this helps

Can somebody answer quick please!

Answers

Answer:27/2

Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2

Answer: 18 in.

Step-by-step explanation:

Write the first step you would take to solve each equation.
1. 3x + 2 = 7x

Answers

Answer:

Subtract [tex]7x[/tex]from both sides of the equation.

Step-by-step explanation:

According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.

The first step is subtract -3x from both sides

POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
<
1 2 3
4
5
6
ET Review

Answers

18.344 should be right. Have a good day!

Select all points that do not lie on this line.

Answers

its A and B bro. Hope it helps

A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost

Answers

Answer:

$49.12

Step-by-step explanation:

At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help

Answers

Answer:

your answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

Answer

Answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!

The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.

Answers

Part A - The approximate y-intercept of the line is 3. It represents the “starting point”. So when you practiced for 0 months (no practice at all) you won 2 matches

Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles


B. 240 miles


C. 300 miles


D. 360 miles

Answers

Marsha had driven 240 miles

Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)

Answers

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) of the function.

Similarly, Range of a function is a set of y-values (output values).

Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.

Domain → {-2, 2, 1, -2}

Range → {-1, 1, 4, 5}

Option C will be the correct option.

Find m 5

Lines L and M are parallel

Answers

Answer:

142

Step-by-step explanation:

<38 and <6 are vertical angles so they both measure 38

<6 and <5 are same side interior angles so they add up to 180

knowing this, you can simply subtract 38 from 180 to find <5

180 - 38 = 142

Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.

Answers

Answer:1,2,4,6

Step-by-step explanation:

I just finished this assignment!!! Good luck and God bless.

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2

Answers

Answer:

-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4

Good Luck!!!

Plzz help if u can plzzzz

Answers

Answer:

I think 32

I'm not sure

slope = -2. y-intercept: (0, 0)
in slope intercept form

Answers

y=-2x because the formula for slope intercept form is y=mx+b and m is gonna be the slope, -2, and then b is going to be the y intercept, which is 0 in this particular situation. so your answer is y=-2x because your y intercept is 0

Please help me understand this math problem! :D​

Answers

Answer:

48 cm^2

Step-by-step explanation:

First find the area of each shape.

2 triangles- [bxh]x1/2

(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12

Square- (l x w)

3 times 3 (You get the other three from the other side of the rectangle) =9

Left rectangle- (l x w)

3 times 4 = 12

Right rectangle- (l x w)

5 times 3 (You get the three from the side of the square) = 15

Total: 2 triangles Area + Square Area  + Left rectangle Area+ Right rectangle Area = Surface Area

12 + 9 + 12 + 15 = 48 cm^2

Hope this helps!!

In the diagram, Find the value of y

Answers

Answer:

y = 42

Step-by-step explanation:

we can start by getting teh degree of x

62 + 65 = 127

180 - 127 = 53

x = 53

x - y = 11

we know that 53 is x

53 - y = 11

y = 42

Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)​

Answers

Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!

GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B

Answers

1.Z~ Q
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX

Similar triangles may or may not be congruent.

The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] ,   [tex]\mathbf{YZ \cong PQ}[/tex]   ,  [tex]\mathbf{X \cong N}[/tex]   ,  [tex]\mathbf{NQ \cong XQ}[/tex]  , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex]   , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

https://brainly.com/question/19589236

Cait went apple picking with 3 friends. The 4 of them picked 17.4 lbs of
apples and want to split it equally. How many lbs of apples do they each
get?

Answers

Answer:

4.35 pounds each gets

Step-by-step explanation:

if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Find the value of W please help due tomorrow

Answers

Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

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