Use the Distributive Property to solve the equation.
3(x-6)+6=5x-4

what is x?

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4


Related Questions

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Roshaun kept track of the number of hours that he spent
playing his saxophone each week for several weeks. He
spent 8 25 10 and 5 hours.
What is the range of the data set?
O A 10 hours
B. Shours
C. 5 hours
OD 6 hours
SUBMIT
PREVIOUS

Answers

D 6 hours hope this helps

Who’s in 10th grade and who’s in 9th? I’m doing a poll for math?

Answers

Answer:

I'm in 10th

hope that would help, lol

What is the volume of the rectangular prism? 5cm 6cm 5cm?

Answers

Answer:

150cm

Step-by-step explanation:

Multiply all sides together.

5 x 5 x 6 = 150

150cm is the volume of the rectangular prism.

Aannswer..............​

Answers

Answer:

It's telling you what to do...Um I can do this tho...

You do the first step...And you move on..It says..Across That tells you to go across. And you keep moving on. Do one step at a time.

I dk how to really help you.

Step-by-step explanation:

~XxRexXx~

Please help!


Find the measure of angle A. Round your answer to the nearest hundredth

A. 33.56 degrees
B. 39.81 degrees
C. 50.19 degrees
D. 56.44 degrees

Answers

C. i hope this is correct

Someone HELP!!!!!!!!!!!

Answers

Answer:

I got x= 3

[tex]m < DBE = 64\\m < CBE =26[/tex]

Step-by-step explanation:

since x= 3,

I put 3 in the equations,

first equation,

17x + 13

17*3 + 13

=64

second equation,

32-2x

32 - 2*3

=26

What is a function that converts an input of letters and numbers into an encrypted output of a fixed length

Answers

The function that converts an input of letters and numbers into an encrypted output of a fixed length is the hash function

How to determine the function?

From the question, we have the following highlights:

The inputs are letters and numbersThese inputs are converted and encryptedThe output has a fixed length

The mathematical function with the above features is a hash function

Hence, the function is the hash function

Read more about hash at:

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Which two consecutive integers does sqrt20 fall between? Explain your reasoning for. For example, sqrt5 is between 2 and 3, because 5 is between 2^2 and 2^3

Answers

Answer:

4 and 5

Step-by-step explanation:

√20 is between 4 and 5 because 20 is between [tex]\sf 2^4[/tex] and [tex]\sf 2^5[/tex]:

[tex]\sf 2^4=16[/tex]  and  [tex]\sf 2^5=32[/tex]

Answer:

It falls in between 4 and 5

Step-by-step explanation:

Hello!

We can find the perfect squares that are before and after 20.

Perfect squares are numbers that are made by multiplying a number by itself. Numbers that are multiplied by itself 3 times are called perfect triples.

To find the square root of a number is to find out what number multiplied by itself gives us the number.

The perfect square before 20 is 16, as it is 4², or 4 x 4

The perfect square after 20 is 25, as it is 5², or 5 x 5

Therefore, the square root of 20 will fall between 4 and 5.

A university decides to accept only the top 15% of

the applicants applying. Their acceptance is based on

performance on an entrance exam. If the mean was 70 and

the standard deviation was 8, then what is the minimum

score needed to be accepted to the university?

Answers

The minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, suppose that:

X = the score a student gets in the considered university's entrance exam.

Then, we have:

[tex]X \sim N(\mu = 70, \sigma = 8)[/tex]

Let X = x be the score such that scores bigger than x is 15% of all the scores applicants get.

That means, P(X > x) = 15% of the total area the distribution of X have under its normal distribution. Or, we can say that there is 15% chance of getting scores above X = x

Now, we can rewrite this statement as:

[tex]1 - P(X \leq x) = 0.15[/tex]

Converting X to Z (standard normal variate), we get:

[tex]1 - P(X \leq x ) = 0.15\\\\1 - P\left(Z \leq z = \dfrac{x - 70}{8} \right) =0.15\\\\P(Z \leq z = (x-70)/8) = 0.85[/tex]

The value Z = z for which the p-value is approx 0.85 is found from the z-tables as:

Thus, we get:

[tex]z = \dfrac{x-70}{8}\\x = 8z + 70\\x \approx 8 \times 1.04 + 70 = 78.32[/tex]

Thus, the minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.

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#SPJ1

URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT!!!!!!!
Plans for a new apartment complex call for buildings directly across the fence from each other to be congruent. This computer printout shows Building A.

if the vertices of Building B are located at (2x1,2y1),(2x2,2y2),(2x3,2y3), and (2x4,2y4), will building B be congruent to Building A?

Answers

Because the transformation is a dilation, we conclude that the buildings are not congruent.

Is building B congruent to building A?

You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.

Where for a point (x, y), a dilation of scale factor k is written as:

(kx, ky).

The vertices of building A are:

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).

And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.

(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).

So, because there is a dilation, building B is not congruent to building A.

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In order to better decide how to market a new line of clothing, mary is researching the demographics of the customers of a certain clothing store. she counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students. her collected data is in the table below. week 1 2 3 4 customers 2,848 3,141 3,861 3,911 students 2,033 1,937 2,076 1,721 mary predicts that the store will see 4,238 customers next week. approximately how many high school students should the store expect next week? a. 1,865 b. 2,392 c. 2,446 d. 3,025

Answers

Number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.

What is expected value?

The expected value is the long term average of the data or the mean of the data.

In order to better decide how to market a new line of clothing, Mary is researching the demographics of the customers of a certain clothing store.

She counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students.

Her collected data is in the table below.

Week                1          2         3            4 Customers    2,848    3,141    3,861    3,911 Students       2,033    1,937   2,076    1,721

Mary predicts that the store will see 4,238 customers next week.

From using the long term mean value calculator for the provided data, the predicted value of the next week we get as 2392.

Hence, the number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.

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Answer:

B

Step-by-step explanation:

B because the of the is the cool make of giga chad braincells :)

A cylindrical piece of iron pipe is shown below. the wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: the figure shows a cylinder of height 16 inches and diameter 6 inches. what is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches

Answers

Answer:

254.4

Step-by-step explanation:

if its 0.75 inch thick, then to get the radius you just times to thickness by 2 which gets 1.5.

6-1.5= 4.5

to get the radius you divide 4.5 by 2 which gets 2.25

and then put this in the formula you get=

V=πr2h=π·2.252·16≈254.469

so the answer is 254

edit:i might be wrong feel free to correct me

Answer: 254

Step-by-step explanation:

kate has the following scores on her math test this quarter 89,79,83, and 94.if she want an average of 85 ,what musther score be on the 5th test

Answers

She must score an 80.

85*5= 425
425-89-79-83-94= 80

The length of the walk-in closet is 2 more than 5 times its width. If the perimeter of the closet is 64 feet, what is its width?
a) 10 feet
b) 2 feet
c) 6 feet
d) 5 feet
e) 8 feet

Answers

Step-by-step explanation:

a) 10 feet ,64=2(2+5w)

64=4+10w

64-4=10w

60=10w

60*10=10w*10

w=6

Nancy went hiking on Mt Math. On Saturday, she started at an elevation of 15 meters below sea level. On
Sunday, she went up the elevation 7 meters and down 5 meters. What was Nancy's elevation at the end of the
day on Sunday?
27 meters above sea level
27 meters below sea level
13 meters below sea level
13 meters above sea level

Answers

Answer:

13 meters below sea level.

Step-by-step explanation:

she started at -15m.

Then she went up 7m, making it -8m.

Then down 5m, making it -13m.

the equation would look like this: -15+7-5. All the best, -Crispin

13 meter below sea level hope it helps

You can catch a bus near your home to and from work for $3.75 a day. The monthly pass is
$70. Assuming that you work about 22 days a month, how much can you save by buying the
pass?
O $5.00
O $3.75
O $12.50
O $82.50




Answers

Answer:

$12.50

Step-by-step explanation:

I multiplied $3.75 by 22 to figure out how much you would make in that month.

3.75 x 22 = $82.50

I then subtracted $70 from $82.50 to figure out how much you would have left after buying the pass.

82.50 - 70 = $12.50

Hope this helps!

You would start by multiplying 3.75 • 22 which would give you 82.5 then you would just subtract giving you the answer of 12.50

solve and check
x=2x-4/3

Answers

Answer:

it = -1

Step-by-step explanation:

-1

Valla
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
4
6
34
36
Next
Mark this and return
Save and Exit
Submit

Answers

Answer: 4

Step-by-step explanation:

4*9=36+the 4 red =40

Find x.
41°
110°
35°
= 0
Х
?

Answers

Answer:

x^33-12*x^2-42)-(x^2+x-3)

Step-by-step explanation:

Find the circumference of the circle of 13 inches use 3.14 for pi and round to the nearest whole number

Answers

Answer:

C=2pi r

2pi= 6.2831

r=13

2pir=81.64

What is the value of K?

Answers

Answer:

k = 2.31

Step-by-step explanation:

You will use the Law of Cosine to determine the unknown angles, then you will use the Sine Rule to determine the unknown side.

help w this !!!!!!!!!!

Answers

Answer:

1.  BC = 24

  Perimeter of ABCD = 96

3. PT = 9

   ST = 7

Step-by-step explanation:

Question 1

All the side lengths of a rhombus are equal.

Therefore, BC = AB = 24

So the perimeter of ABCD = 24 × 4 = 96

Question 3

The diagonals of a rhombus bisect each other at right angles.

Bisect means to divide into two equal parts.

Therefore, PT = TR  so  PT = PR ÷ 2

As PR = 18  then  PT = 18 ÷ 2 = 9

QT = ST  so  ST = QS ÷ 2

As QS = 14  then  ST = 14 ÷ 2 = 7

What is the probability that a point chosen randomly inside the rectangle is in the square?

Answers

Answer:

9/308

Step-by-step explanation:

The probability is the area of the square divided by the area of the rectangle.

p = (3 in.)² / (22 in. × 14 in.)

p = 9/308

Solve the word problem below. Enter your answer in simplest terms, using the
slash () to represent the fraction bar.
A recipe for a soup calls for 3/6 cup of chopped onion and 1/4 cup of chopped
celery. What is the total amount of celery and onion needed for the soup help me.

Answers

Answer:

3/4

Step-by-step explanation:

Here,cup of chopped onions=3/6

cup of chopped celery=1/4

Then,

total amount celery and onion needed for the soup =3/6 + 1/4

=3*2 + 1*3/12

=6+3/12

=9/12

=3/4

Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2

Answers

Answer:

y = -x - 1

Step-by-step explanation:

soo since we already know the slope we can subsitute it to the slope form equation

y = mx + b

y = -x + b

now to find the y intercept we have to subsitute the given point

-3 = -(2) + b

-3 = -2 + b

b = -1

Answer:

y = -x - 1

Step-by-step explanation:

Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).

Why? It has a slope of 2, and our answer wants a line with a slope of -1.

y = mx + b

m is the slopeb is the y-intercept.

To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).

(2, -3)

y = -x - 1

-3 = -2 - 1

-3 = -3

This statement is true

(2, -3)

y = -x - 3

-3 = -2 - 3

-3 = -5

This statement is false

(2, -3)

y = -x + 2

-3 = -2 + 2

-3 = 0

This statement is false

Therefore, the correct answer is a) y = -x - 1

*View the graph to verity the answer*

Hope this helps!

After 10 weeks, how much money would William have in his bank account? Show your work.

Answers

Answer:

The answer seems to be going up by $14 every week

Step-by-step explanation:

Week 5 is $100, Week 6 is $114, Week 7 is $128, Week 8 is $142, Week 9 is $156, Week 10 is $170

What is the equation of this line in slope-intercept form?
y = 3x - 1
y = -3x -1
y = -⅓x -1
y = 3x + 1​

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

To find the slope, use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plugging in the given values, we have: [tex]\frac{-4-2}{1-(-1)}[/tex]

[tex]\frac{-4-2}{1-(-1)}[/tex]

= [tex]\frac{-6}{2}[/tex]

= -3

Now that we know that the slope is -3, we need to find the y-intercept. Anazlyzing the graph, we can see that the line passes through the point (0, -1) on the y-axis, therefore, that is our y-intercept.

Combining the information, the result is: y = -3x - 1

hope this helps!

Which arrow indicates the probability of choosing a blue marble from a bag of five red marbles and fifteen blue marbles?




Arrow A

Arrow B

Arrow C

Arrow D
I needs help asap

Answers

Answer: Its c

Step-by-step explanation: hope it helps :)

Answer:

ARROW A

Step-by-step explanation:

I need help with is question please.

Answers

D Undefined is the right answer to your question

cual es la inversa de la funcion f(x) = -1/2 (x + 3 )​

Answers

Answer:

-2x - 3

Step-by-step explanation:

f(x) = -1/2(x + 3)  is the same as  y = -1/2(x + 3)

change all y terms to x terms and all x terms to y terms

So  change  y = -1/2(x + 3) to x = -1/2(y + 3)

Now use the new equation and slove for y

x = -1/2(y + 3)

-2x = -2· -1/2 (y + 3)

-2x = y + 3

-2x - 3 = y

Rewrite your answer y = -2x - 3

Write the equation in the  inverse

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