solve the following equation: x/7-6=-x/6+5

Answers

Answer 1

By solving the given equation x/7 - 6 = - x/6 + 5 we get x value = 462/13.

What is called the equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculation.

Given that :

     x/7 - 6 = - x/6 + 5

Multiply the denominators with numerator on both sides

                x / 7 - 6(7) = - x / 6 + 5(6)

                  x - 42 / 7 = - x + 30 / 6

Multiply both denominators with numerator on both sides

                  6 (x - 42) = 7 (- x + 30)

Multiply 6 and 7 inside the bracket

                   6x - 252 = - 7x + 210

Separate x terms and constant terms

                    6x + 7x = 210 + 252

                           13x = 462

                              x = 462 / 13

Therefore, x = 462 /13

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Related Questions

if a two sided test of hypothesis is conducted at a 0.05 level of significance and the test statistic resulting from the analysis was 1.23. the potential type of statistical error is :

Answers

Potential type of statistical error would be Type I statistical error.

What is statistical error?

The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy. Both sampling error and non-sampling error can have an impact on data.

Given that:

two sided test of hypothesis is giving 0.05 level of significance.

and statistic resulting from the analysis was 1.23.

According to statistic result,

the results are not statistically significant because the p-value > 0.05.

So, Here we can say that it follows the Type I statistical error.

Hence, potential type of statistical error would be Type I statistical error.

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Given f(x)=−3x−1, find f(−6

Answers

The Value of f(-6) is -19

What is Function?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Function: f(x) = 3x - 1

To Find the value of f(-6)

We need to replace x with -6

f(-6) = 3*(-6) - 1

f(-6) = -18 - 1

f(-6) = -19

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researchers randomly assigned a sample of clinically depressed patients to receive a new antidepressant medication or a sugar pill. what type of research study is being used?

Answers

The experiment type of research study is being used.

What is an experiment ?

A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law

In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.

As opposed to option A, where the participants are being observed in their natural context, this is not a naturalistic observation example.

The lack of a relationship means that it is neither a correlation research, as in option C, nor a survey, as in option D.

Option B is the appropriate response, thus.

So, the experiment  type of research study is being used.

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A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. What proportion of exam scores are between 797979 and 86. 586. 0586, point, 05 points?.

Answers

A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. 28.34% proportion of exam scores are between 797979 and 86. 586. 0586..

Define mean and standard deviation.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean.

Given,

Mean = 76.55

Standard deviation = 5

To calculate this, we first need to get the Z score mathematically

Z = X - mean/standard deviation

For the 79,

Z = 79 - 76.55/5

Z = 0.49

For the 86.05

Z = X - mean/standard deviation

Z = 86.05 - 76.55/5

Z = 1.9

So, we have

P(0.49 < Z < 1.9)

P( Z < 1.9) - P( Z < 0.49)

Using the table of standard score probability

P(Z < 1.9) = 0.9713

P( Z < 0.49) = 0.6879

P( Z < 1.9) - P( Z < 0.49)

0.9713 - 0.6879

0.2834

In percentage,

0.2834 × 100%

28.34%

A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. 28.34% proportion of exam scores are between 797979 and 86. 586. 0586..

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A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to?

Answers

The area of the circle is more usefull than circumfrence of the circle.

Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.

What is area of the circle?

Area of circle is given by the pie times square of radius.

Area of circle = πr^2

here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access

Thus, the area of the circle is more usefull than circumfrence of the circle.

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solve x for -0.2x - 1.4 = 2x + 16.2

Answers

Answer:

x = -8

Step-by-step explanation:

Step 1: Combine multiplied terms into a single fraction.

(-x / 5) - 1.4 = 2x + 16.2

Step 2: Find a common denominator.

(-x / 5) + [5(-1.4) / 5] = 2x + 16.2

Step 3: yeah this is boring idc about the explanation

What is the median of 23 and 23?

Answers

The precise middle value of a dataset when it is ordered is called the median. Separating the lowest 50% of data from the top 50% of values is a measure of central tendency. the median of 23 and 23 is 23

The median is the middle number when the numbers are arranged in order from least to greatest. Since 23 and 23 are the same number, the median is 23.The median is an important measure of central tendency. It is the middle value of a data set when the numbers are arranged in order from least to greatest. In this case, since there are only two numbers and they are the same, the median is simply the number itself, 23.

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What are 2 linear functions?

Answers

For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

the amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed here. condiments cereals desserts 270 260 100 130 220 180 230 290 250 180 290 250 80 200 300 70 320 360 200 140 300 160 at the 0.05 significance level, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals and desserts?

Answers

Gustafson cardio rescue byssinosis

I need help simplifying this problem

Answers

Answer: Use math x way it is very helpful for problems like these. The answer is attached.

Step-by-step explanation:

Help meeeeeeeeeeeeee

Answers

Answer:

143.30

you can give me more

How do you solve maximum problems?

Answers

A minimax problem minimizes the maximum value of a number of decision variables and the maximin problem maximizes the minimum value

We know that a minimax problem minimizes the maximum value of a number of decision variables. It is sometimes applied to minimize the possible loss for a worst case (maximum loss) scenario. On the other hand a maximin problem maximizes the minimum value. Generally it is used to maximize the minimum objective (such as profit or revenue) for all potential scenario.

To solve the  optimization problem for maximum :

First we find the derivative of the function.

Set the derivative equal to 0 and solve for x. This gives the x-values of the maximum and minimum points.

Now substitute those values of x back into the function to find the corresponding values of y. This will give the maximum and minimum points of the function.

Therefore, the maximin problem maximizes the minimum value  of a number of decision variables.

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A grocery store's receipts show that sunday customer purchases have a skewed distribution with a mean $32 and a standard deviation of $20. Assume that the next 100 sunday customers can be treated like an srs from this population. What is the approximate probability that the next 100 sunday customers will spend an average of at most $28?.

Answers

The approximate probability that the next 100 sunday customers will spend an average of at most $28 is 0.97725

What is Central limit theorem ?

This theorem limits the central value (mean) of a sample measure to the mean value of the population from which the sample was drawn. There are two versions of this set, average and ratio respectively. This is true only if each sample is the same size and that size matters.

We have given that,

Mean , μ = $32

Standard deviations, σ = $20

sample size, n = 100

The probability that the test 100 sunday customers will spend on average of at most $28.

Using formula,

Standard error = 20/Sqrt(100) = 2

Test- statistic, Z = (x -μ)/S.E

here we have, x = 28 , S.E = 2 , μ = 32

=> Z = ( 28 - 32)/2 = - 4/2 = -2

Now, the approximate probability value, P(X≤ x )

is P(X≤ 28) = P(X - μ / S.E < 28- 32/2) = P(Z≤ -2)

= 1 - P(Z>-2) = 1- P(Z< 2) = 1 - 0.02275 = 0.97725 To learn more about Central Limit Theorem, refer:

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Question 13 (1 point)
(01.05 MC)
Which number line represents all of the values of x for the equation x² = 25? (1 point)

Answers

Answer: x= 5 and 5=x.

Step-by-step explanation: no comment.

I hope i'm right.

good luck.

a student is randomly choosing the answer to each of seven true-false questions in a test. how many possible ways can the student answer the seven questions?

Answers

128 possible ways can the student answer the seven questions.

What is combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

We have 7 true-false questions.

Each question can be answered 2 different ways and the answer for one question has no effect on the answer for another.

They are independent events.

So, the number of different ways that 7 questions can be answered is

= 2⁷

= 128 ways

Hence, there are 128 possible ways can the student answer the seven questions.

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what is the minimum number of integers from 0 to 80 that must be selected in order to be sure of getting at least one that is odd?

Answers

We need 42 minimum number integers from 0 to 80 that must be selected in order to be sure of getting at least one that is odd.

We need Pigeonhole Principle which states,

The pigeonhole principle is one of the simplest but most useful ideas in mathematics, and can rescue us here. A basic version says that if (N+1) pigeons occupy N holes, then some hole must have at least 2 pigeons. Thus if 5 pigeons occupy 4 holes, then there must be some hole with at least 2 pigeons.

We know that there are 40 odd integers 1, 3, 5, 7, ....79 and 41 even integers 0, 2, 4, 6, .....80 from 0 to 80 .

So, at most, 41 integers picked out of them. If we pick one more integer after picking all of these then it must be odd integer according to Pigeonhole  Principle. Therefore, we need to at least one more integer from 0 through 80 to be sure that there is at least one odd integer.

So, in total we need to pick at least 41 + 1 = 42 integers from 0 to 80 to be sure of getting at least one that is odd.

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During August, the average cost of gasoline was $3.22 per gallon. During September, the average cost of gasoline was $3.67 per gallon. Suppose the cost of gasoline is expected to rise by the same percentage with each passing month. Select the response that is true.

Answers

To ensure the proper number amount to the bond make sure that you multiply using the numerator and the denominator as well as check over the passage because you dont know how much to use according to the results so the answers should be

(B)

Translate vertex W to vertex M then reflect across the line containing
Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX.

Answers

Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX is MXY

The intersection of two lines, two line segments, or any suitable combination of rays, segments, and lines that results in two straight "sides" coming together at one point is known as an angle's vertex. 1. Translate vertex W to vertex M: Move point W to the right by 4 units, creating point M.

2. Reflect WXY across the line containing WX: Create a line perpendicular to WX, and reflect WXY across it. The resulting figure is MXY.

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what is angle 1 2 and 3

Answers

The Measure for the Following

m< 1= 72 degree.

m< 2= 72 degree.

m< 3= 58 degree.

What is Vertical Opposite Angle?

Horizontal Angles (Vertically Opposite Angles) The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.

Given:

In Δ MQP and Δ OQN

<3 = 58 (Alternate Interior Angle)

Now, In Δ OQN Using Angle Sum Property

<2+ <3 + 50= 180

<2 + 58+ 50 = 180

<2 = 180 - 108

<2 = 72

and, <1 = <2 = 72  (Vertical Opposite Angle)

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If f(x) = x² - 1, and g(x) = x + 2, then g(f(x)) = [?]x² +
please explain ​

Answers

Answer:

g(f(x)) = x² + 1.

Step-by-step explanation:

To evaluate g(f(x)), we need to first evaluate f(x) and then plug the result into g(x). Since f(x) = x² - 1, we have g(f(x)) = g(x² - 1). Plugging this into g(x), we get g(x² - 1) = (x² - 1) + 2. So the final result is g(f(x)) = x² + 1.

Here's a step-by-step breakdown:

g(f(x)) = g(x² - 1) [substitute f(x) = x² - 1]g(f(x)) = (x² - 1) + 2 [substitute g(x) = x + 2]g(f(x)) = x² + 1 [simplify]

Note that this is only the case if f(x) and g(x) are defined for all values of x. If either function is only defined for certain values of x, then the result of g(f(x)) will depend on the specific input value used.

A triangle has vertices (2, 3), (5, 9), and (3, 11) is reflected across the y-axis. What are the new vertices of the reflected triangle? (-2, 3), (-5, 9), and (-3, 11) (-2, -3), (-5, -9), and (-3, -11) (2, -3), (5, -9), and (3, -11)

Answers

Answer:( -2,3),( -5,9), (-3,11)

Step-by-step explanation:

Which is a way to describe the fraction of 2/3

Answers

An equivalent fraction of 2/3 is 16/24

Hope this helps

Barry has a medical plan with a $1,000 deductible, 20% coinsurance, and a $5,000 coinsurance cap. His allowable medical expenses during the past year are $18,000. How much of this amount will he have to pay out of pocket?.

Answers

Based on his deductible and coinsurance cap, the amount that Barry will pay is $4,560.

Barry will pay x amount.

Barry will be responsible for covering the entire $1,200 deductible. The remaining costs will subsequently be split between him and the insurer in a ratio of 20% to 80%, although he will not be required to pay more than $5,000.

He will consequently pay the following total out of pocket:

= Deductible + ( 20% x (Medical expenses - deductible)

Solving gives:

= 1,200 + ( 20% x (18,000 - 1,200))

= $4,560

He will pay $4,560 in total.

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2.1.3 Quiz: Solving Multistep Linear Equations
Question 5 of 10
What is the solution to this equation?
4x + 2(x+6)=36
A. x=4
OB. x=7
OC. x=8
OD. x=5
SUBMIT

Answers

Answer:

The solution to this equation is x=4 (or A)

Step-by-step explanation:

First, you want to remove the parentheses from the equation and distribute 2 through the parentheses:

4x+2x+12=36

Then you collect like terms:

6x+12=36

Then you move the constant to the right-hand side and change its sign:

6x=36-12

Then you subtract the numbers:

6x=24

Then you divide both sides of the equation by 6, which gives you your solution:

x=4

pls someone help with Literal Equations
Solve for R

T=a-p/pr

Answers

Assuming pr is the denominator the answer is
r=-1/T-a

Which of the following quadratic equations has roots at (-4, 0) and (10, 0) and goes through the point (5,45)

Y=(x-4) (x+ 10)
Y=(x+4) (x- 10)
y= -(x+4) (x- 10)

Answers

The quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)

What is the simple quadratic formula?

The quadratic formula is as follows. The equation Ax2+Bx+C=0 can be divided by A to get x2+B/Ax+C/A=0, and the procedure repeated to get the more generic version.

How do you square a number?

How to use the Quadratic Formula to solve a quadratic equation.

Ax2 + bx + c = 0 is the quadratic equation in standard form. Find the values of a, b, and c.

the quadratic formula in writing. Then enter the values for a, b, and c.

Simplify.

Verify the answers.

Given that :

Roots are (-4, 0) and (10, 0)

and goes through  the point (5,45)

So as we can see that that only second and third option satisfy the roots and the third one satisfy the point conditions.

hence the quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)

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Write an equation of the circle with center (5,9) and radius 4

Answers

(x-5)^2 + (y-9)^2 = 16

im pretty sure thats the answer as you only need the equation

PLEASE HELP AND SHOW WORK!
The price of a home (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smavile can be modeled using the equation p = 150 + 0.041a where p is the price of the home in thousands of dollars and a is the area of the house in square feet Home prices in Fancyville can be modeled using the equation p = 250 + 0.198a Ngoc saw a real estate advertisement for a 2800 square foot home that was selling for $280,000. Which city should she predict that the home is in?

Answers

The city that she should predict that the home is in is given as follows:

Smavile.

How to predict the city that the home is in?


We are given the linear regression equations for each town, which predicts the value of a home with a square feet.

Then the prediction of the city is given by the one whose prediction for a input of 2800 square feet gives the least residual relative to 280, that is, the value that has the least absolute difference relative to 280.

For Smaville, the equation is given as follows:

p = 150 + 0.041a.

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 150 + 0.041(2800) = 264.8.

For Fancyville, the equation is given as follows:

p = 250 + 0.198a

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 250 + 0.198(2800) = 804.4.

Smavile has the least residual, hence is the prediction.

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100 POINTS WILL GIVE BRAINLIEST Understanding business cycles is important because it helps us make informed decisions. Which of the following would most likely be done in a business during a boom?
A. hire employees
B. cut jobs
C. save cash

Answers

Answer:

The correct answer is A. hire employees.

During a boom, or an economic expansion, businesses typically experience increased demand for their products and services. This often leads to higher profits and sales, and as a result, many businesses will choose to hire additional employees to help meet the increased demand. Hiring employees allows businesses to increase their production and sales, and it can also help them to capitalize on opportunities for growth and expansion.

The other answer choices, cutting jobs (B) and saving cash (C), are not typically associated with a boom. Cutting jobs would be more likely to occur during a recession or a downturn in the economy, when businesses are trying to reduce costs and improve their bottom line. Saving cash, on the other hand, is something that businesses might do during any economic conditions, as it can help them to build up a financial cushion and prepare for unexpected events. However, during a boom, businesses are more likely to focus on expanding their operations and taking advantage of the increased demand for their products and services.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It seems like the most logical answer, as boom usually means it's doing well. When a business is doing well I doubt they would want to cut jobs or have to be worried about saving their extra cash.

Helppppppppppppppppppp

Answers

Answer:

Gas - state of matter with no definite matter or shape.Chemical equation - an equation that represents atoms and molecules rearranging in a chemical reaction.Matter - anything that has mass and takes up space.Liquid -  state of matter with a definite volume, but not a definite shape.Solid - state of matter that has a definite shape & volume.Law of conservation of matter - scientific law that states no matter can be created, nor destroyed.Atom - A tiny particle that makes up matter and is made up of 3 smaller particles: protons, neurons, and electrons.

      I hoped this helped! Please give me brainliest :D

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