What is the value of x when 3/x+6=6/8x-12

Answers

Answer 1

3/(x+6) = 6/(8x-12)
6(x+6) = 3(8x-12)
6x+36 = 24x-36
36+36= 24x-6x
72= 18x
4=x
X=4

Related Questions

what is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..

Answers

Hey there :)

-96, 48, -24, 12, -6

Each term is divided by - 2 or multiplied by [tex] -\frac{1}{2} [/tex]

[tex] \frac{48}{-96} [/tex] = [tex] -\frac{1}{2} [/tex]
[tex] \frac{-24}{48} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac{12}{-24} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac-{6}{12} [/tex] = [tex]- \frac{1}{2} [/tex]

The common ratio is -[tex] \frac{1}{2} [/tex]

The common ratio of the given geometric sequence is [tex]-\frac{1}{2}[/tex], as each term is half the value and opposite in sign of the previous term.

The common ratio of a geometric sequence can be found by dividing any term by the previous term. In the given sequence, -96, 48, -24, 12, -6,..., let's divide the second term by the first term:

Common ratio (r) = [tex]\frac{48 }{-96} = -\frac{1}{2}[/tex]

This ratio will be consistent throughout the sequence. For example, dividing the third term by the second term also gives [tex]-\frac{24 }{ 48} = -\frac{1}{2}[/tex], confirming that the common ratio is indeed [tex]-\frac{1}{2}[/tex].

In a right triangle a=2b+4 and all side lengths are integers. The possible values for b are 4cm, 5cm, 8cm,10cm,12cm,and 24cm. Determine the values for a,b, and c. For the right triangle, a is ______cm long, b is _________cm long, and c is __________cm long. Create a similar triangle with different side lengths. Draw and label the side lengths.

Answers

a) The values for (a, b, c) are (24 cm, 10 cm, 26 cm).

b) A similar triangle is one with sides 12 cm, 5 cm, and 13 cm.

Cereal is packaged in a box shaped like a rectangular prism with a base 7.5 by 2 inches, and a height of 10 inches. Manufacturing each box requires 10% more cardboard than the box’s surface area. How much cardboard is needed to make each box

Answers

1.10*2*(7.5*2 + 10*(7.5+2)) = 242 . . . . square inches

The total area is 2(LW +H(L +W)). You want 10% more than that, so can find it by multiplying the area by 1.10.

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?

Answers

Divide 60 by 12 and multiply that answer by 7. Take that answer and subtract it from 60, the number you have left over should be the number of red balloons you have.

Answer: 25, mark brainlist

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply

Answers

Hello there!

the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.

Using this method, you get A and C as your answers because they are in the blue region.

I really hope this helps!
Best wishes :)

The points that are solutions to the system of inequalities is ( -12,0), (-10,1), the correct option is A and C.

What is System of Inequalities?

The system of Inequalities are the set of inequalities that have a common solution.

The solution of the set of Inequalities can be obtained by plotting a graph and finding the common area.

The solution to the system of inequalities is shown in the graph.

The points that are solutions to the system of inequalities is

( -12,0)

(-10,1)

To know more about System of Inequalities

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solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2

Answers

[tex]\bf 1+cos(\theta )=\cfrac{\sqrt{3}+2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}+2}{2}-1 \\\\\\ cos(\theta )=\cfrac{\sqrt{3}+2}{2}-\cfrac{2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}\underline{+2-2}}{2}\implies cos(\theta )=\pm\cfrac{\sqrt{3}}{2} \\\\\\ cos^{-1}[cos(\theta )]=cos^{-1}\left( \pm\cfrac{\sqrt{3}}{2} \right)\implies \measuredangle \theta = \begin{cases} \frac{\pi }{6}\\\\ \frac{5\pi }{6}\\\\ \frac{7\pi }{6}\\\\ \frac{11\pi }{6} \end{cases}[/tex]

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6

Answers

Answer: the number is x = 1 + 21/52

Step-by-step explanation:

we have

(5 + 5/12) - x = (6 + 1/6) - (2 + 2/13)

this means that x is smaller than 5 + 5/12 by the same amount as (2 + 2/13) is smaller than (6 + 1/6)

We can solve it directly, first solve the parentheses, put the whole numbers at one side and the fractions in the other side:

5 - 6 + 2 - x = -5/12 + 1/6 - 2/13

1 - x = -5/12 + 2/12 - 2/13

1 - x = -3/12 - 2/13 = -1/4 - 2/13 = -13/(4*13) - (2*4)/(4*13) = -21/52

x = 1 + 21/52

Answer:

73/52

Step-by-step explanation:

Leanne can clean a fish tank in 30 minutes. Karl can clean a fish tank in 20 minutes. If they work together, how many minutes does it take them to clean a fish tank? (2 points)

Answers

it takes them 50 minutes to clean the fish tank together

Answer:

12 minutes

Step-by-step explanation:

Just took the test and got it right

if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p

Answers

we know that
the law of sines
a/sinA=b/sinB=c/sinC

then
p/sinP=r/sinR--------> p=r*sinP/sinR-------> (22*0.2)/0.4------> p=11

the answer is p=11 units

Answer:

Thank you

Step-by-step explanation:

Which of these examples is an error of addition by one?
A. 46,371 + 32,618 = 78,989
B. 38,273 + 51,425 = 89,798
C. 13,246 + 84,631 = 97,877
D. 52,634 + 25,145 = 77,779

Answers

Your answer will be B the reason is because 38,273+51,425=89698

Answer: B. 38,273 + 51,425 = 89,798

Step-by-step explanation:

Let's check all the sum by adding their corresponding places.

A. [tex]46,371 + 32,618 = 78,989[/tex]

Its correct.

B. [tex]38,273 + 51,425 =89698\neq 89,798[/tex]

Here when we add the digits on the hundredth place we get 6 not 7.

Hence, it is the example of an error of addition by one.

Its correct.

C. [tex]13,246 + 84,631 = 97,877[/tex]

Its correct.

D. [tex]52,634 + 25,145 = 77,779[/tex]

Its correct.

32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:

Answers

First, convert 15'66'' to degrees. Every degree is 60' and every minute (') is 60''. Thus, 15' x (1° / 60') = 0.25°and 66'' x (1' / 60'') x (1° / 60') = 0.01833°Add all the measurements in degrees including the 32° from the given. That is, 32° + 0.25° + 0.01833° = 32.268°Rounding the answer to the nearest hundredth gives us 32.27°.

Answer:

32.27

Step-by-step explanation:

A computer screen consists of small rectangular dots called pixels. Find the number of pixels on a screen that has 600 rows with 700 pixels in each row. PLEASE HELP.

Answers

It's just like finding the area of a figure. The length is 700 and the width is 600
A = LW
A = 700 * 600
A = 420,000 square units
There are 420,000 pixels on the screen.

Hope this helps =)

Answer:
Number of pixels = 420000 pixels

Explanation:
The pixels are covering the whole area of the computer screen. This means that to the number of pixels, we will simply need to get the area of the computer.
Number of pixels = area of computer screen = length * width
Number of pixels = 600*700 = 420000 pixels

Hope this helps :)

which number is irrational? A.0.7 repeating B. √3 C. 4/3 D. 3.14

Answers

By definition, we have:
In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.
It is any real number that is not rational, and its decimal expression is neither exact nor periodic.
Therefore, the following number is irrational:
√3
Its result is:
√3 = 1.732050808
Answer:
The following number is an irrational number:
B. √3

If carleys mows the lawn for 2 weeks Ina row and does her chores 7 weeks straight how many more weeks will she need

Answers

Well how much money is she earning? And how much does she need to have this question isn't clear enough sorry

Find the derivative of y with respect to x. y= ((lnx)/(2+lnx))

Answers

Using the known theorem [tex]\left(\frac{f}{g}\right)'=\frac{f'g-g'f}{g^2}[/tex] you get
[tex]y'=\left(\frac{\ln x}{2+\ln x}\right) '=\frac{(\ln x)'(2+\ln x)-(2+\ln x)'\ln x}{(2+\ln x)^2}=\frac{\frac{1}{x}(2+\ln x)-\frac{1}{x}\ln x}{(2+\ln x)^2}[/tex].

Therefore, [tex]y'=\frac{\frac{2+\ln x}{x}-\frac{\ln x}{x}}{(2+\ln x)^2}=\frac{\frac{2}{x}}{(2+\ln x)^2}=\frac{2}{x(2+\ln x)^2}[/tex].

Find the length of a rectangle with area of 16 sq. cm. and width of 8 cm.

2 cm
8 cm
128 cm

Answers

Thank you for coming to Brainly with your questions!

I believe the answer is:

A. 2 cm. because to find the area of the rectangle, you multiply length times width, so to find what the length is, you divide the width by the area, which is 2 cm.

I hope this helps you! Please mark me Brainliest! Lemme know if I can help with any further questions!

~Belle

its A cuz thats the answer

Please help, math question.

Identify the variable and the categories represented in this problem. Set up and fill in a two-way table to represent the frequencies in this problem.

Answers

Part a)
Identify the variable and categories

By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below

A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on these animals. How many of each animal does the farmer have?

Answers

Ccows = x
Chickens = y

x+y = 34
4x + 2y = 110 or 2x + y = 55
subtract them
x = 21

so, 21 Cows and 13 Chickens, Total = 34

check:
Cowlegs = 84
Chickenlegs = 26
Total = 110

13 chickens and 21 cows

a step on a stairway is at least 8 inches high. Write and solve an inequality to represent the minimum number of steps between floors that are 10 feet apart

Answers

The hight of the step is

h ≥ 8 inches

If we take that in one feet we have twelve inches

The hight between floors are H=10ft = 120 inches

If we named number of steps with n, the appropriate inequality is

n ≤ 120/8 => n ≤ 15

Good luck!!!!

Answer:

If a step is "at least" 8 inches high, the minimum number of steps is theoretically 1, because that 1 step could be a 10-foot high step.

Step-by-step explanation:

Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?

Answers

Just by adding both of these, pens and also pencils, these actually both signify the same word, "pencils".

We do . . . .

[tex]\boxed{56+37=3}[/tex]

(93) should be your correct answer!

A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.

Answers

The hypotenuse is 20.59. 10^2+18^2=C^2

The hypotenuse of the paper is 2√106 cm.

What is Pythagorean theorem ?

Hypotenuse ² = Height ² + Width ²

Know more about Pythagorean theorem,

The Pythagorean Theorem, also known as the Pythagoras Theorem, explains the relationship between the three sides of a right triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. Pythagorean triangles are the name given to the sides of a right triangle. Let's learn about Pythagorean theorem, formula, derivation and examples in detail.

The history of the Pythagorean theorem goes back to the ancient Babylonian and Egyptian era. The Greek mathematician Pythagoras of Samos introduced the Pythagorean theorem. Pythagoras was born in 570 BC. The Greek philosopher studied with other monks and formed a group of people; he finally stated the Pythagorean theorem. Even before Pythagoras, the ratio was shown on a Babylonian tablet 4000 years ago, but the theorem is published under the name of Pythagoras.

Here given, a triangle shaped paper’s height is 18 cm and width is 10 cm.

We want find the hypotenuse of the paper ?

Here, height of the paper = 18 cm and width of the triangle = 10 cm.

[tex] = {18}^{2} + {10}^{2} \\ = 324 + 100 \\ = 424[/tex]

So,

[tex]hypotenuse = \sqrt{424} \\ = \sqrt{2 \times 2 \times 2 \times 53} \\ = 2 \sqrt{2 \times 53} \\ = 2 \sqrt{106} \: cm[/tex]

Therefore,the hypotenuse of the paper is 2√106 cm.

Pythagoras theorem related one more question:

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Honi is looking at a map with a scale of 1 4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:

Step 1: Set up a proportion 1 4 20 = 2.5 x
Step 2: Cross multiply (20)(2.5) = ( 1 4 )(x)
Step 3: Simplify 50 = 1 4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4

Answers

the correct question is
Honi is looking at a map with a scale of 1/4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:

Step 1: Set up a proportion 1/4/20 = 2.5/ x
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x)
Step 3: Simplify 50 = 1/4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?

we have that
Step 1: Set up a proportion 1/4/20 = 2.5/ x ----------> is correct
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x) ----------> is correct
Step 3: Simplify 50 = 1/4 x --------------------------------> is correct

Step 4: Solve for x, x = 250 miles ------------> is not correct
because in the step 3 we have ----------> 50=(1/4)*x
x=50*4----------> x=200 miles

the answer the option D) Step 4

Final answer:

The mistake is in Step 4 of Honi's calculation. The correct actual distance between Niceville and Live Oak should be 200 miles instead of the 250 miles that was stated in the original steps.

Explanation:

The student's question pertains to setting up and solving a proportion to find the actual distance between two places using a map scale. The map scale given is ¼ in. = 20 miles. Honi measures a distance of 2.5 inches on the map. The steps to find the actual distance, using a proportion, should be evaluated for accuracy.

To set up the proportion correctly, we use the ratio of the map scale and compare it to the ratio of the measured distance to the actual distance (x). The correct proportion should be: (1/4 in.) / 20 miles = 2.5 in. / x miles.

Step 1 is correct, setting up the proportion based on the scale and measured distance. Step 2 involves cross-multiplying to find the relationship between the scale and the actual distance, which should yield (1/4) * x = 2.5 * 20. Step 3 should simplify this equation correctly, which would give us x = 2.5 * 20 * 4 = 200 miles. Therefore, Step 4 has a mistake because the solution provided should be 200 miles, not 250 miles as given.

Penélope bakes pretzels. She salts 3/8 of the pretzels. Write a fraction that is equivalent to 3/8.

Answers

An equivalent is 6/16

3/8= (2*3)/(2*8)=6/16 generally we could says that (n*3)/(n*8) for n positive integer will be a equivalent fraction of 3/8

Experts/ace/geniuses helpp

Answers

because the .21 is repeating the fraction is:

1 and 21/99

0.2121... = 21 / 99

So your answer is 1 21/99 = 120 / 99 answer

The following question has two parts. First, answer part A. Then, answer part B.
Isabella's mother has a garden with a total area of
10/23 square feet. She plans her planting season like this:
1/4 of the garden will be used for planting peas. And,
3/4 of the garden will be used for planting corn.

Answers

Peas = 5/46 square feet. Corn = 15/46 square feet.
If you are looking for the total area for each portion multiply the original fraction by the fraction of each section.
[tex] \frac{10}{23} * \frac{1}{4} = \frac{10}{92} = \frac{5}{46} [/tex]

[tex] \frac{10}{23} * \frac{3}{4} = \frac{30}{92} = \frac{15}{46} [/tex]

find the values of x that satisfy

Answers

Setup 2 problems
2x - 7 < 15   and    2x - 7 > -15
2x < 22                  2x > -8
x < 11                    x > -4

Or you can write it -4 < x < 11

At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.

Answers

Let
x---------------> number of men in the theater
y---------------> number of women in the theater
z---------------> number of children in the theater
T--------------> total number of persons in the theater

we know that
T=x+y+z
x=(1/4)*T
y=(5/8)*T----------> equation 1
z=T-[(1/4)*T+(5/8)*T]-----> z=T-(7/8)*T------> z=(8*T-7*T)/8------> z=(1/8)*T
z=(1/8)*T----------> equation 2

y=100+z--------> equation 3
I substitute (1) and (2) in (3)
(5/8)*T=100+(1/8)*T------> (5/8)*T-(1/8)*T=100--------> T=200 persons

the total number of people in the theater was 200 persons
number of men in the theater------> 200*(1/4)=50 men
number of women in the theater----> 200*(5/8)=125 women
number of children in the theater----> 200*(1/8)=25 children

Help please help I need help please like pretty please btw this is on mobile

Answers

is just their difference

[tex]\bf 1-\cfrac{3}{8}\implies \cfrac{1}{1}-\cfrac{3}{8}\impliedby \textit{our LCD is 8}\implies \cfrac{8-3}{8}\implies \cfrac{5}{8}[/tex]

how many solutions 2x+3y=-3 and 3x + 5y = -9

Answers

Since the slopes of the two lines are the not equal, they will have only one solution. The solution will be a point and can be found using the method given below.

We can find the solutions by simultaneously solving the two equations.

From first equation, the value of y comes out to be:

[tex]2x+3y=-3 \\ \\ 3y=-3-2x \\ \\ y= \frac{-3-2x}{3} [/tex]

Using this value of y in second equation, we get:

[tex]3x+5( \frac{-3-2x}{3} )=-9 \\ \\ 9x-15-10x=-27 \\ \\ -x=-27+15 \\ \\ -x=-12 \\ \\ x=12[/tex]

Using this value of x, we can find y:

[tex]y= \frac{-3-2x}{3}= \frac{-3-24}{3} =-9 [/tex]

Therefore, there is only one solution to the given equations is which is (12, -9)

what is the length of AC?

Answers

Your answer would be 18. AC must be longer than 9

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