Which value of x makes the following equation true?

3(x - 4) - 12 = 2(x - 6) + 5

Answers

Answer 1

Answer:

x = 17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

3x - 12 - 12 = 2x - 12 + 5

3x - 24 = 2x - 7

3x - 2x = -7 + 24

x = 17

Answer 2

Answer:

x=17

Step-by-step explanation:

3(x - 4) - 12 = 2(x - 6) + 5

Distribute

3x -12 -12 =2x-12 +5

Combine like terms

3x-24 = 2x -7

Subtract 2x from each side

3x-2x -24 =2x-2x-7

x-24 = -7

Add 24 from each side

x-24+24 = -7+24

x = 17


Related Questions

To make a profit, stores mark up the prices on the items they sell. A sports store buys skateboards from a supplier for s dollars. What is the retail price for skateboards that the manager buys for $35 and $56 after a 42% markup ? Which expressions represent the markup of the skateboard, where s is the original cost of the skateboard

Answers

Answer:

The retail price for the $35 skateboard = $49.70

The retail price for the $56 skateboard = $79.20

Step-by-step explanation:

Please kindly check the attached files for detalils

what is a compound inequality that represents all real numbers that are greater than -8 but less than 8

Answers

Answer:

The inequality is "-8 < x < 8" that can also be expressed as x > - 8 and x < 8

Step-by-step explanation:

In this case there are two inequalities. The first one is for all real numbers that are greater than -8. In this case we will represent the real numbers as "x" and this inequality can be represented as:

x > - 8

The second inequality is for all real numbers that are less than 8, this can be represented as:

x < 8

To create the compound inequality we have two use both of the inqualities above:

-8 < x < 8

x > - 8 and x < 8

In this case we use and because the real number must satisfy both inequalities at the same time.

Help please!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

they always make some kind of angle usually 90 degress.

3 they always make like a 90 degree

Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2

Answers

Answer:

it’s not a right triangle

Step-by-step explanation:

2^2 + 2^2 = 8 < 4^2

what is the value of x?

Answers

Pretty sure it’s 7! You subtract 15 and 8

The table contains data for five students: hours studied, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line.

A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 4, 7, 8. Column 2 is labeled y with entries 76, 81, 89, 87, 91.

Based on the trend line, what score would you expect after studying for 5 hours?
As the number of hours studying increases, the coressponding test score

Answers

Answer:86 tends to increase

Step-by-step explanation:

just did this

After 5 hours of studying, expected score will be 86.

As the number of hours studying increases, the corresponding test scores also tends to increase.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a table containing the hours studied, x and the corresponding test scores, y of five students.

x : 1     2     4     7     8

t : 76  81   89   87   91

The trend line is drawn below.

The trend line passes through (2, 81) and (8, 91).

Slope of the line = (91 - 81) / (8 - 2) = 10/6 = 5/3

Equation is of the form y = 5/3 x + c

Substituting the point (2, 81),

81 = 10/3 + c

c = 233/3

Equation of the line is y = 5/3 x + 233/3

When x = 5, y = (5/3 × 5) + 233 / 3 = 86

Hence after 5 hours of studying, there will be a score of 86.

As the number of hours studying increases, the corresponding test scores also tends to increase.

Hence the trend line is given below.

Learn more about Scatterplots here :

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A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table.

Which statements are correct? Check all that apply.

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

A,C,D on edg, 2021

Step-by-step explanation:

Help me! Thank you! :)

Answers

Look at the attached picture

Hope it will help u..

Answer:

14

Step-by-step explanation:

Find the sum -6/3 - (-7/15)

Answers

Answer:

-1 [tex]\frac{8}{15}[/tex]

Step-by-step explanation:

That's the answer I think

Answer:

- 23/15 or - 1 8/15

Step-by-step explanation:

When you want to subtract fractions, you first want to see if they have the same denominator. In this case, there isn't a common denominator so we need to make it so there is. Since 15 is the larger one and a multiple of 3, we can change -6/3 to -30/15 by multiplying the top and bottom by 5. Now the double negatives cancel each other out so instead of -30/15 - (-7/15), it will be -30/15 + 7/15. Add them together and you get -23/15.

A population has a standard deviation of 5.5. What is the standard error of
the sampling distribution if the sample size is 49? Round your answer to two
decimal places.​

Answers

Answer:

The standard error of the sampling distribution is [tex]\sigma_x = .79[/tex].

Step-by-step explanation:

We can find the standard error of the sampling distribution using this formula:

[tex]\displaystyle \sigma_x = \frac{\sigma}{\sqrt{n} }[/tex]

The standard deviation of the sampling distribution, also known as the standard error, can be found by taking the population standard deviation and dividing it by the square root of the sample size, both of which we are given in the problem.

[tex]\displaystyle \sigma_x = \frac{5.5}{\sqrt{49 }} = .7857[/tex]

Rounded to two decimal places: [tex]\sigma_x = .79[/tex]

The standard error of the sampling distribution if the sample size n = 49 and the population standard deviation σ = 5.5 is .79.

Solve for x. 2+x/9 = 4/6

Answers

Answer:Solve for x. 2+x/9 = 4/6

Step-by-step explanation:

Solve for x. 2+x/9 = 4/6

Round 88.27 to the nearest one.

Answers

Answer:

88

Step-by-step explanation:

Basically you look at the number after the decimal point and if it is below 5 it will turn to 88. If it is over 5 it will be a 89. For this you also ignore the 7. The 7 does not mean anything.

The radius of a circle is 22 kilometers. What is the circle's circumference?
Use 3.14 for ​.

Answers

Answer:

138.16  km

Step-by-step explanation:

Circumference=2*pi*radius

22*3.14=69.08

69.08*2=138.16

Answer:

138.16 kilometeres

Step-by-step explanation:

C= 2 *π * r

C= 2 * 3.14* 22

C = 138.16 kilometers

Use the equation to complete the table.
y = 7x + 1
Input Output
X
Y
10

Answers

Answer:

4 / 29

7 / 50

10 / 71

Step-by-step explanation:

7=7x+1

This means that you multiply the input number by 7 then add 1  then that's the output answer. Hope This Helps!

solve the equation for x
-2(-4-6x)=-10+3x

Answers

Your answer will be negative 2

Answer:

x= -2

Step-by-step explanation:

[tex]-2(-4-6x)=-10+3x \: [/tex]

[tex]8 + 12x = - 10 + 3x[/tex]

[tex]12x - 3x = - 10 - 8[/tex]

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

[tex]x = \frac{ - 18}{9} = - 2[/tex]

What is the volume of a 3 foot tall cylindrical trash can with a 1 foot radius

Answers

Final answer:

The volume of the cylindrical trash can with a 1 foot radius and 3 foot height is 9.426 cubic feet.

Explanation:

The volume of a 3-foot tall cylindrical trash can with a 1-foot radius can be calculated using the formula V = πr²h, where r is the radius and h is the height.

Given that the radius is 1 foot and the height is 3 feet, we can substitute these values into the formula:

V = 3.142 × (1 foot)² × 3 feet = 9.426 cubic feet

Therefore, the volume of the trash can is 9.426 cubic feet.

What is the inverse of *
y = log, 8

Answers

Answer:

if [tex]log_{10}8[/tex] then no solution, but if [tex]log_{8}[/tex] then the answer is [tex]y=8^x[/tex]

Step-by-step explanation:

it depends if its a common logarithm or of ot a logarithm of  a base of 8. normally, a common logarithm would look like [tex]log_{10}x[/tex] or it will look like [tex]logx[/tex]. the 10 does not need to be visible to be a common logarithm. if the function is  base 8 like i suspect then it will look like[tex]log_{8}[/tex]. the inverse of a logarithmic function is an exponential function. sorry if that made your brain hurt.

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65. On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. How far did the tornado travel? PLEASE HELPPPP

Answers

Hope this helps you I solved it

Which statement is true about the data set 4, 5, 6, 6, 7, 9, 12

Answers:
A: mean=mode
B: mode=median
C: mean < median
D: mode > mean

Answers

Answer:

b

Step-by-step explanation:

Because there are two sixes so that is the mode and the middle is 6 so that would be the middle  and both of them are six so the answer would be B

The mode and the median have the same value which is 6. Therefore, option B is the correct answer.

The given data set is 4, 5, 6, 6, 7, 9, 12.

What is the mode?

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

The mode of the given data is 6.

Median: The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average.

The median of the given data is 6.

Mean = (4+5+6+6+7+9+12)/7

=49/7 = 7

Here, the mode and the median have the same value which is 6. Therefore, option B is the correct answer.

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Can you work out this math puzzle?

Answers

Answer

Answer is 20 because the traingle is 10 the circle is 5 and the half of square is 2

The value of the missing puzzle after summing each shape is 17

From the puzzle :

Triangle = 30 ÷ 3 = 10

Circles :(10 + 2x) = 202x = 20 - 10x = 10 ÷ 2 x = 5

Hence, circles = 5

Squares :

5 + 2x = 13 2x = 13 - 5 2x = 8x = 4

Hence, squares = 4

Half of a square = 4 ÷ 2 = 2

For the missing puzzle :

Triangle + circle + half square10 + 5 + 2 = 17

Hence, the value of the puzzle is 17

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what is (-9x)+(-14x)=?

Answers

Answer:

-23x

Step-by-step explanation:

(-9x)+(-14x)

Combine like terms

Factor out the x

x (-9 + -14)

x (-23)

-23x

Answer:

-23x

Step-by-step explanation:

add -9 and -14

Select the option that best describes the relationship between the variables on the scatterplot... PLEASE HELP

Answers

Answer:

Negative, linear

Step-by-step explanation:

If you look at it, it is relatively in a line and the values are going down.

Answer:

Negative, linear association

Step-by-step explanation:

i know because i got it correct

Given
below, is PQ a minor arc, a major arc, or a semicircle?
A. Minor arc
B. Semicircle C. Major arc

Answers

Answer:

B. Semicircle

Step-by-step explanation:

Semicircle means "half of a circle"

A minor arc is when the arc has a degree of less than 180°

A major arc is when the arc has a degree of more than 180°

If the degree is exactly 180°, then it's a semicircle. And it tells you the degree, which is 180°

Answer:

Semicircle

Step-by-step explanation:

Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.

Answers

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

2/15, 3/10, 7/30
What is the least common denominator

Answers

Answer:

30

Step-by-step explanation:

to find the least common denominator you can do the GCF of the denominators so 15 10 and 30 so 3*5 2*5 and 2*3*5 so every number is divisible by 30 so its 30

Write an expression and solve it with the given values of the letters: b There are x candies in a bag. 4/9 of all the candies are chocolates. How many candies which are not chocolates are in the bag? (x=36)

Answers

Answer:

There are 20 candies which are not chocolates are in the bag.    

Step-by-step explanation:

We are given the following in the question:

Number of candies in bag = [tex]x[/tex]

Number of candies that are chocolate =

[tex]\dfrac{4}{9}\text{ of the total candies}[/tex]

Number of chocolate candies in the bag =

[tex]=\dfrac{4}{9}\times x=\dfrac{4x}{9}[/tex]

We are given that x = 36.

We have to find the number of candies which are not chocolates are in the bag.

Number of chocolate candies in the bag =

[tex]=\dfrac{4}{9}\times 36 = 16[/tex]

There are 16 chocolate candies in the bag.

Number of candies that are not chocolate =

[tex]= 36-16\\=20[/tex]

Thus, there are 20 candies which are not chocolates are in the bag.

Please someone help me in this

Answers

Answer:

20 watches were made.

Step-by-step explanation:

385=15n+85

300=15n

20=n

Answer:

20 watches

Step-by-step explanation:

385= 15n+85

-85          -85

300=15n

divide both sides by 15

20=n

Sarina’s dog, Bruno, has to go on a diet! Sarina puts Bruno on a diet plan of daily exercise and a special type of dog food. She estimates Bruno will lose

1 1/2 pounds per week on this plan.

Answer the following questions regarding Bruno's weight loss.


a. How many pounds does Sarina estimate Bruno will lose in 2 weeks?

b.How many pounds does Sarina estimate Bruno will lose in

8 1/2 weeks?

c. Write an equation for this situation. Use w to represent weeks and use p to represent the number of pounds Bruno loses. (Because Bruno is losing weight, the number of pounds he loses will be defined as a negative value.
please help

Answers

In two weeks he will lose 3 pounds

In 8.5 weeks he will lose 12.75 pounds

p= w(-1.5)

Please help solve this question. You are hiking to a ranger station. There is one correct path. You come to a fork and randomly take the path on the left. You come to another fork and randomly take the path on the right. What is the probability you are still on the correct path?

Answers

Answer:

1 out of 3

Step-by-step explanation:

because there is 3 total paths and there is only 1 correct path so it is 1 out of three chances you are on the correct path.

Answer:

1/4

Step-by-step explanation:

P(left) = 1/2

Next,

P(right) = 1/2

1/2 × 1/2

1/4

need help i will be giving brainlest
In the Three-Dimensional Figures and Cross Sections section, what is the difference between a prism and a pyramid? *

Answers

Answer:

prism has two identical bases that are parallel. A pyramid has one base. A prism or pyramid is named for the shape of its base.

Final answer:

The primary difference between a prism and a pyramid is their base shapes, the number of vertices, edges, and faces, with prisms having parallel and congruent bases while pyramids have triangular faces that meet at an apex.

Explanation:

The main difference between a prism and a pyramid lies in the shapes of their bases and the number of faces, edges, and vertices. A prism is a polyhedron that has two parallel and congruent faces called bases that are polygons of the same shape and size, and the other faces, known as lateral faces, are parallelograms resulting from connecting the corresponding vertices of the two bases. In contrast, a pyramid has a polygonal base and triangular faces that connect the base to a single point called the apex. A prism has as many lateral faces as the sides of its base, while a pyramid has as many triangular faces as the sides of the base polygon. Another way to distinguish them is by their vertices and edges; a prism will always have twice as many vertices and edges in the sides of the bases than a pyramid with the same shaped base.

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Which of the following sources of candidates for job openings is relatively inexpensive and helps build employee morale? 1. executive search firms. 2. current employees. 3. public employment agencies. 4. colleges and universities. 5. newspaper advertisements. 2. Each one of the following words ends in est. Which one is spelled correctly?O A. SweettestO B. BigestO C. FlattenO D. Sillyest The English social critic, writer, artist and theorist who inspired the philosophy of the arts and crafts movement challenged orthodoxy around the Renaissance and Industrial Revolution and pointed toward the union of art and labor in service to society. 2(2x +1) = 3(x-8) =how do you solve this 5x + 2y = 7y=x+1What is the solution set of the given system?{(5/7, 1217){(9/7,16/7){(1217,5/7){(16/7.9/7)] Solve the equation 3x = 2x + 5.What can you do to isolate the variable on one side of the equation?What is the solution? Are salmon considered unclean ? Using third person allowed the author to show the actions of all of the characters,but not show the feelings or thoughts. Throughout the story, the reader must infer the emotions being portrayed by the characters through their diction and actions. For example, the handyman was not being sincere while talking about the flowers, but the reader would not know that until they read, " It's nice, just like you say. Only when you don't have no dinner, it ain't." and realizing the handyman is using Elisa for a free dinner. Using the third person allows the large amount of imagery to help narrate Factor completely 14g^5 - 21g^7 A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6 10-11 m2/s, and the diffusion flux is found to be 1.2 10-7 kg/m2 -s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3? Assume a linear concentration profile. Reyhan is writing an essay about climate change. His thesis is, "The Earths climate is different from 100 years ago, though there are some similarities. Which organizational pattern is the best choice for his essay? aproblem and solution bsummary and review ccompare and contrast dcause and effect Describes a time in your life that you felt voiceless A fitness instructor exercises about 15 hours per week.a. Write an equation to find the total number of hours h the instructor exercises in any number of weeks w.b. Use the equation to determine the total number of hours the instructor will exercise in 9 weeks. A particular gun (10kg) is able to fire 20 gram bullets at a speed of 350 m/s. From this information, calculate roughly how much energy contained in the powder in the bullet (Hint: you will need to calculate the recoil speed of the gun.) A. 2455 J B. 620 J C. Cannot be determined. D. 1230 J Where do most Africans live A. Near oil production sites where workers are needed B. Along the many rivers of this region where there is lots of water C. In the mountains in Desert where the land is an expensive D. Along coasts in rivers or in areas where there is more rainfall The term cerebral dominance designates the hemisphere that is dominant for language. True or False The regression equation Credits = 17.9 0.09 Work was estimated from a sample of 21 statistics students. Credits is the number of college credits taken and Work is the number of hours worked per week at an outside job. (Round your answers to 1 decimal place.) (a) Choose the correct statement. An increase in the number of hours worked per week increases the expected number of credits. A decrease in the number of hours worked per week decreases the expected number of credits. An increase in the number of hours worked per week decreases the expected number of credits. (b) Choose the right option. The intercept is not meaningful as a student who works outside may not earn any credits. The intercept is meaningful as a student may not have a job outside of school. (c) If Work = 0, then Credits = . If Work = 60, then Credits = . Simplify this exponent 10^7 A glass lens, nglass=1.52, has a 127 nm thick antireflective film coating one side, nfilm=1.39. White light, moving through the air, is perpendicularly incident on the coated side of the lens. What is the largest wavelength of the reflected light that is totally removed by the coating? Assume that nair=1.00. information in relation to protection and safeguarding.