Complete each step in the following solution.
10x + 8 = 3(x – 2)

10x + 8 = 3x ___
7x = ___
x = -2

Answers

Answer 1

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Answer 2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

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Related Questions

provided
Solve this equation. Explain your reasoning.
3x-2.5x + 0.5 = 4.5​

Answers

Answer:

hope this helps!

Step-by-step explanation:

3x-2.5x+0.5=4.5

We move all terms to the left:

3x-2.5x+0.5-(4.5)=0

We add all the numbers together, and all the variables

0.5x-4=0

We move all terms containing x to the left, all other terms to the right

0.5x=4

x=4/0.5

x=8

/ / * ANSWER PLS * / / MK and ML are tangent to circle J. If MK = 6x – 15 and ML = 2x + 9, find x.

Answers

Answer:

x=6

Step-by-step explanation:

As MK and ML are tangent to the circle, they are also congruent (MK = ML). Thus we can set the equation:

6x-15 = 2x+9

Now solve for x:

6x-2x = 9+15

4x=24

x=6

Answer:

B.

Step-by-step explanation:

MK and ML are tangents to a circle and " originating from the same point" so

MK=ML

Since MK = 6x-15 and ML = 2x+9

So,

6x-15 = 2x+9

6x-2x = 9+15

4x = 24

Dividing both sides by 4

So, we'll get

x = 6

which of the following values are in the range of the function graph below? Check all that apply.

Answers

Answer:

hey there,

Step-by-step explanation:

make sure you add your image. we don't know what to answer

Answer:

Add a graph so that we are able to answer for you.

Step-by-step explanation:

If p(x) is a quadratic function and p(-1) = p(7) = 2,
which of the following could be the coordinates of
the vertex of the parabola formed when y = p(x) is
graphed in the xy-plane?
PLEASE EXPLAIN- I really don’t know:,)

(0,8)
(4,3)
(6,7)
(3,9)

Answers

Answer:

3,9

Step-by-step explanation:

hint: quadratic function

the form can be x² or x²+b or x²+bx+c

when p(-1)= 2 it means if we take x-axis = -1 the result (y-axis) will be 2. Same thing happen if we take x = 7

the vertex will always in the middle. So the middle of x = -1 and x = 7 is 3

-1, 0, 1, 2, 3, 4, 5, 6, 7

the vertex will occured when x = 3

the only answer with x = 3 is the fourth one (3,9)

Find the coordinates of the midpoint of the segment whose endpoints are given.

A (2, 3) and B (6, 11)

(4, 7)
(11, 4.5)
(2, 4)

Answers

The answer should be (4,7)

Answer:

a

Step-by-step explanation:

Find the next term in the
sequence.
Simplify completely.
3
3,3
3, 3, [?]

Answers

3 or 9 could be an answer

Lines a and b are parallel lines cut by transversal f.

Parallel lines a and b are cut by transversal f. At the intersection of lines f and b, the uppercase left angle is angle 4. At the intersection of lines f and a, the uppercase right angle is angle 1.

If , what is ?

20°
70°
110°
130°

Answers

Answer:

110

Step-by-step explanation:

110°

PLS HELP EASY QUESTIONS
1.
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:


Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22


What is the experimental probability that Jenny will pull out a pink tile?
22 over 50
22 over 28
24 over 50
4 over 50

2.
Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 6 red and 9 yellow beads. Based on the result, what is most likely the number of red beads in the bag?

10
20
30
40

Answers

Answer:

24 over 50 and 20 red beads

Step-by-step explanation:

Which is constant term in the equation given in standard from 5x+3y=15

Answers

Hi there!

The constant term would be 15.

A constant term is a term that does not or can not be changed.

Hope this helps !

78% of the class completed their homework last night. What fraction of the class completed their homework?

Answers

Answer:

[tex]\frac{39}{50}[/tex]

Step-by-step explanation:

=> 78% makes:

=> [tex]\frac{78}{100}[/tex]

In simplest form:

=>[tex]\frac{39}{50}[/tex]

Answer:

[tex]\frac{39}{50}[/tex]

Step-by-step explanation:

78% is .78 as a decimal and it is [tex]\frac{78}{100}[/tex].

[tex]\frac{78}{100}[/tex] can be simplified to [tex]\frac{39}{50}[/tex]

Find the area of the
8 in
6 in
A
5 in
4in
10 in please help explained answer please thanks. ​

Answers

Answer:

108

Step-by-step explanation:

6x8 = 48

10x4= 40

5x4= 20

add them up and you get 108

Answer:

the area is 108

Step-by-step explanation:

cut the shape into parts.

6x8=48

10x4=40

5x4=20

48+40+20=108

What is the product of 523 and 48

Answers

Answer:

25104

Step-by-step explanation:

PRODUCT=MULTIPLICATION, SO

423 X 48= 25104

Barrett purchased a piece of sandpaper for his electric sander, as shown above. The radius of the sandpaper is 2.5 inches. Approximately what area does the sandpaper cover ignoring the center hole? (Use 3.14 for .)

Answers

Answer:

Look at the attachment

18. A brother carries his little sister, who weighs 24kg, across a field 20 meters. How
much work did he do?

Answers

Answer:

4800 joules

4.8 kilojoules

Step-by-step explanation:

[tex]Work done = Force * distance\\Workdone = (mass*acceleration)*distance\\Note : force = (mass*acceleration) , Acceleration- due- to -gravity =10m/s^2\\W.D = 24 * 10*20\\W.D = 4800 joules\\W.D =4.8Kilo joules[/tex]

1. Explain why the equation has two solutions. Then solve the equation to find the solutions. Show your work.

Answers

Answer:

Some equations have two solutions because a quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

The answer to the quation is x = -2 or x =10

Step-by-step explanation:

Quadratic equation are equations with a leading degree of two. The solutions to the given quadratic equation is 10 or -2

Solution to quadratic equation

Quadratic equation are equations with a leading degree of two. Given the equation

(x-4)^2-28=8

The equation has two solution because it has a leading degree of 2.

Given

(x-4)^2-28=8

Add 28 to both sides

(x-4)^2-28 + 8=8 + 8

(x-4)^2= 36

Take square root of both sides

√(x-4)^2= ±√36

x - 4 = ±6
x = 6 + 4 or -6 + 4
x = 10 or -2

Hence the solutions to the given quadratic equation is 10 or -2

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1 point
1. Mr. Smith visited the park one sunny afternoon. He noticed that only
dogs and people were in the park that day. While he was resting on a park
bench, he observed that there were 15 heads and 50 legs in the park.
Which pair of system of equations can be used to determine the number
of dogs and the number of people in the park that day (use x = # of people;
y = # of dogs)?
x + y = 50: 2x + 4y = 15
x + y = 15, 4x + 2y = 50
X + y = 15:2x + 4y = 50
x + y = 50; 4x + 2y = 15

Answers

Answer:

x+y=15 ; 2x+4y=50

Step-by-step explanation:

Let x be the number of people

Let y be the number of dogs.

Equation regarding Total Heads:

Total number of heads = 15

As

1 person has 1 head

1 dog has 1 head

Total no. of heads of people = 1 * x = x

Total number of heads of dogs = 1*y = y

Equation becomes:

x+y=15

Equation regarding Total Legs:

Total number of legs = 50

As

1 person has 2 legs

1 dog has 4 legs

Total no. of legs of people = 2 * x = 2x

Total number of legs of dogs = 4*y = 4y

Equation becomes:

2x+4y=50

The probability that a person has immunity to a particular disease is 0.6. Find the mean number who have
immunity in samples of size 12.

Answers

Answer:

Step-by-step explanation:

This is a binomial probability problem. There are only two outcomes. It is either a chosen person has immunity to a particular disease or he does not. The probability of success in this case, p is the probability that a chosen person has immunity to a particular disease. Thus

p = 0.6

The probability of failure, q is q = 1 - p

Thus, q = 1 - 0.6 = 0.4

Mean = np

Where n represents sample size. Thus,

Mean = 12 × 0.6 = 7.2

Given the equation (x - 13) ^ 2 + y ^ 2 = 64 identify the center and radius

Answers

Answer:

radius is 8; center is at (13, 0).

Step-by-step explanation:

Compare the given  (x - 13) ^ 2 + y ^ 2 = 64 to:

                                  (x - h)^2 + (y - k)^2 = r^2.  (h, k) represents the center

                                                                             and r the radius.

Since 64 = r^2, r = the radius = 8 units  = r

We also see that h = 13 and k = 0.  

Thus, the center of the given circle is (13, 0).

All rhombus we have all sides that are equal in length.
Which of these quadrilaterals are rhombuses?

Answers

The middle one and bottom because all their sides are equal

The quadrilaterals that are rhombus is

Figures B and C.

Options B and C are the correct answer.

What is a rhombus?

A rhombus is a quadrilateral whose all four sides are equal and the parallel sides are equal and the opposite angles are equal

We have,

A rhombus has all four sides equal.

A rhombus has equal parallel sides.

A rhombus's opposite angles are equal.

Now,

The figure in option B has the following properties:

All sides are equal.

Parallel sides are equal.

The figure in option C has the following properties:

All sides are equal.

Parallel sides are equal.

Opposite angles are equal.

Thus,

Figures B and C are rhombus.

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A school has a square playground with each side

measuring 120 feet. A scale drawing of the

playground uses the scale = inch equals 12 feet.

What is the length of a side of the playground on

this scale drawing?

Help!

Answers

Answer:

10 inches

Step-by-step explanation:

The length of the playground in its actual size is 120 feet.

The scale drawing uses a scale of 1 inch to 12 feet.

This means that 1 inch in the drawing equals 12 feet in actual size.

Therefore, the length of the playground on the scale drawing is:

1 inch = 12 feet

x = 120 feet

Cross-multiply:

120 * 1 = 12 * x

=> x = 120 / 12 = 10 inches

The length of a side of the playground on  the scale drawing is 10 inches.

You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow. You will win $14 if you draw a yellow ball, and $11 if you draw a green ball. What is the expected value of the game?

Answers

Answer:

Green ball. $11

Step-by-step explanation:

Let's see.

15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.

Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11

The total expected value of the game is $2 if you pay $8 to play the following game of chance.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow.

Yellow balls = 15 - 7 - 6= 2

Probability of yellow = 2/15

Probability of green = 6/15

Expected value of the game = 6(2/15) + 3(6/15) = $2

Thus, the total expected value of the game is $2 if you pay $8 to play the following game of chance.

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WILL MARK BRAINLIEST! 30 PTS-----An equilateral triangle has what type of symmetry?

A.
line symmetry only
B.
point symmetry only
C.
both point and line symmetry
D.
neither point nor line symmetry
E.
both point and rotational symmetry

Answers

Answer:

A. line symmetry only.

equilateral triangles have 3 lines of symmetry

Denice had 236 yellow stars and 196 blue stars. She wants to arrange them in rows of 4. How many rows of stars would Denice have?

Answers

Answer:

108

Step-by-step explanation:

236 + 196 = 432 (total stars)

432 / 4 = 108 rows.

Answer:

108 rows.

Step-by-step explanation:

236 stars + 196 stars = 432 stars in total

So if you're putting 432 stars in 4 rows, you have to divide 432/4, which equals 108 rows with 4 stars in each row.

Hope this helped you :)

Please answer this question as a fraction, will mark you the brainliest if ur right!

Answers

Answer:

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49

Step-by-step explanation:

Plz help as soon as possible
what is 150*70

Answers

Answer:

10500

Step-by-step explanation:

An angle turns through
30
360
of a circle.
What is the measure of the angle?
A
12°
30°
С
330°
D
360°
need help please​

Answers

Answer:

Not widely used. If you continue to increase an angle it will eventually 'double back' on itself and form a full 360° angle. This is the Full Angle. One could argue that this is the same as a zero-sized angle. But we generally mean the reflex angle and so it is a full circle or 360°. Adjust the angle above and try to create the full angle going around in both directions.

Step-by-step explanation:


What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
y=2/3x+3
y=2/3x+2
y=-3/2+3
y=-3/2x+2

Answers

Answer is 2/3 + 2

Look at the image and if you need further explains I will be glad to.


Choose the answer to complete each statement
The slope of the line is
The y-intercept is at
The graph represents the function
(3, 4)
(0, -3)..

Answers

Answer:

1. The slope of the line is 7/3

2. y intercept is -3

3. y= 7/3x -3

Step-by-step explanation:

To find the slope of the line you use the equation y2-y1/x2-x1

y2 and y1 are y coordinates of the 2 coordinates on the same line that you want to find the slope of and the same with x2 and x1

The y-intercept is the point where the line crosses the y axis and x= 0

the equation of a line is y= mx+b

m= slope

b= y intercept

Sean is one-fourth his dad's height. If his dad is 6 feet, 6 inches tall, how tall is Sean?

Answers

Answer:

19 1/2 inches.

Step-by-step explanation:

edge 2020 OwO

Answer:

19.5 inches a.k.a. 1 foot and 7.5 inches

Step-by-step explanation:

1) To make it easier, convert Sean's dad's height into solely inches.

6 feet and 6 inches = 6(12) + 6 = 72 + 6 = 78 inches

2) Find out what is one-fourth of Sean's dad's height.

In order to do that, you must simply multiply 78 by [tex]\frac{1}{4}[/tex].

[tex]78(\frac{1}{4} ) = 19.5[/tex]

3) Convert back to feet and inches (if necessary)...

19.5 inches = 12 + 7.5 = 1 foot and 7.5 inches

I hope this helps!

Prove that
[tex]x {}^{2} - 2[/tex]
will never be divisible by 3.​

Answers

Answer:

Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).

Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3

(notice that 2 is not divisibble by 3, but 9k^2)

Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3

(notice that 1 is not divisibble by 3, but 9k^2 + 6k)

Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3

(notice that 2 is not divisibble by 3, but 9k^2 + 12k)

=> x^2 - 2 will never be divisible by 3

Hope this helps!

:)

Other Questions
what type of joints connects flat bony surfaces, keeping them slightly separate to avoid friction? a) saddle joints b) gliding joints c) hinge joints d) pivot joints You have received an order of 100 robotic resistance spot welders which contains 5 defective welders. You randomly select 15 welders from the order without replacement to inspect to check whether they are defective. (a) Determine the PMF of the number of defective welders in your sample? Remember to list all possible values of the random variable. (b) Determine the probability that there are at least 4 defective welders in the sample? Hint: No need to calculate the final numerical results. Appropriately plugging in numbers in the mathematical expression is sufficient MAX POINTS / ASAP / ONLY RIGHT ASNWER / Will Mark BrainliestDrag the correct tiles to the box. 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Nester buys 10,000 shares of Olive Grove stock. When the dividend is announced to the public and the price of the stock increases, Nester sells his shares for a profit. Nester would not be liable for insider trading if the information about the dividend was:__________.A) material when he sold the stock.B) available to the public after he bought the stock.C) available to the public before he bought the stock.D) forward-looking when he bought the stock. Approximating square root of 17 to the nearest hundredth. Which lines from ovids pyramus and thisbe establish setting? What is the purpose of natural selection? 7x + 3 = 5 and y - 1= 6 Which objects in space formed from the huge disk of ice and debris beyond the outer planets? You drove 640 miles in 5 hours. How many miles did you travel in 1 hour? How does Jackson most clearly use a non sequitur about Indian removal inthis excerpt?A. He concludes that the population of American Indians is declining.B. 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The activities, costs, and drivers associated with these two manufacturing processes and the production support process follow. Process Activity Overhead Cost Driver QuantityComponents Changeover $458,000 Number of batches 810 Machining 307,000 Machine hours 7,650 Setups 232,000 Number of setups 160 997,000 Finishing Welding 188,000 Welding hours 4,100 Inspecting 231,000 Number of inspections 835 Rework 62,000 Rework orders 150 $ 481,000 Support Purchasing $143,000 Purchase orders 525 Providing space 32,000 Number of units 5,020 Providing utilities 61,000 Number of units 5,020 $ 236,000 Additional production information concerning its two product lines follows.Model 145 Model 212Units produced 2,000 3,020 Welding hours 1,200 2,900 Batches 405 405 Number of inspections 465 370 Machine hours 2,350 5,300 Setups 80 80 Rework orders 100 50 Purchase orders 350 175 Required:1. Determine departmental overhead rates and compute the overhead cost per unit for each product line. Base your overhead assignment for the components department on machine hours. Use welding hours to assign overhead costs to the finishing department. Assign costs to the support department based on number of purchase orders.(Round your intermediate calculations and per unit cost answers to 2 decimal places.)2. Determine the total cost per unit for each product line if the direct labor and direct materials costs per unit are $210 for Model 145 and $150 for Model 212. (Round your intermediate calculations and cost per unit answers to 2 decimal places. Identify the nations that made up the triple alliance