What's the answer to this equation? Please include steps
6(915 - x) = 100 + x

Answers

Answer 1

Answer:

  x = 770

Step-by-step explanation:

You want the solution to the equation 6(915 - x) = 100 + x.

Solution

It often works well to simplify the equation first. Here, that means eliminating parentheses using the distributive property:

  6(915) -6(x) = 100 +x

  5490 -6x = 100 +x . . . . . . . . carry out the multiplication

  5490 -6x +6x = 100 +x +6x . . . . . add 6x to both sides

  5490 = 100 +7x . . . . . . . . . . collect terms

  5490 -100 = 100 +7x -100 . . . . . . subtract 100 from both sides

  5390 = 7x . . . . . . . . . . . . . . collect terms

  5390/7 = (7x)/7 . . . . . . . . . . . . . . . . divide both sides by 7

  770 = x . . . . . . . . . . . . . . . . carry out the division

The solution to the equation is x = 770.

__

Check

  6(915 -770) = 100 +770 . . . . use the value of x in the equation

  6(145) = 870 . . . . true

__

Additional comment

After eliminating parentheses, this is a 3-step linear equation, so is solved in the usual way. First, the variable terms are collected on one side of the equal sign. Then the constant terms are collected on the other side of the equal sign. Finally, the equation is divided by the coefficient of the variable.


Related Questions

Change-4x - 2y = -6 to slope intercept form
(y=mx+b)

Answers

Answer:

Step-by-step explanation:

-4x-2y=-6

-2y=-6+4x

divide by -2

y=3-2x

y=-2x+3

Please help I’ll mark you as brainliest if correct!!

Answers

Answer:

y (y + x)

Step-by-step explanation:

Simplify the following:

y^2 + x y

Factor y out of y^2 + x y:

Answer: y (y + x)

Cross out the unnecessary information. Then solve the problem.Pedro had a very busy Saturday. After a 6:00 a.m. tennis match, he hadbreakfast with his grandmother, stopped at the corner store to get an icecream cone, hurried to his Spanish lesson, stopped by the swimming poolfor a quick dip, and then ate lunch with his buddies. At 2:00p.m. he wentto a movie and finally stopped at the soccer match to cheer for the team.Just on time he met his family for pizza. When he arrived home he fell intobed and slept 14 hours. His clock showed 10:00 a.m. when he opened hiseyes the next morning. What time did Pedro fall into his bed?Yes

Answers

Pedro went to bed and slept 14 hours, when he woke up next day it was 10 am, it means he went to sleep 14 hours before 10am, it means he went to sleep at 8 pm

question is in picture :) help me work out this problem

Answers

Given

Since they are similar

[tex]\begin{gathered} \frac{10}{4}=2.5 \\ \\ \\ \\ The\text{ scale factor is 2.5} \end{gathered}[/tex][tex]The\text{ square of scale factor=2.5}^2=6.25[/tex]

Then multiply

[tex]6.25\times30=187.5[/tex]

The final answer

[tex]187.5m^2[/tex]

Use your calculator on the following data X1=3, Y1=7, X2=4, Y2=8, X3=5, Y3=10.

Determine (1) correlation, (2) slope of the regression line, (3) y-intercept of the regression line:

Answers

From the given data-set, we have that:

The correlation coefficient is of: r = 0.982.The slope of the regression line is of: 1.5.The intercept of the regression line is of: 2.33.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

To find the correlation coefficient, we find the same strategy, inserting these points into a calculator of correlation coefficients.

From the data, the points are given as follows:

(3, 7), (4, 8), (5, 10).

Hence the correlation coefficient is of:

r = 0.982.

The line of best-fit is given by:

y = 1.5x + 2.33.

Which has a slope of 1.5 and an intercept of 2.33.

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Please help me with my calculus homework :)

Answers

Given

Answer

Let the side of square be s

s = 10 ft

[tex]\Delta s=\pm0.1ft[/tex][tex]\begin{gathered} A=s^2 \\ \frac{dA}{ds}=2s \\ \text{ now error in area is} \\ dA=\frac{dA}{ds}\Delta s \\ dA=(2s)\pm0.1 \\ dA=2(10)(\pm0.1)=\pm2ft^2 \end{gathered}[/tex]

ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR CORRECT ANSWER

please only answer b​

Answers

Answer:

Positive Slope, the graph interprets how much it costs to rent a canol per hour.

Step-by-step explanation:

factor -6 out of 18z-15

Answers

If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).

A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as

-6 × (18z - 15)/(-6)

Further we get

-6 × (-3z + 15/6)

-6 × (-3z + 5/2)

which is the required value.

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List the measures of the exterior angles for the triangle shown.



exterior angle at 60° interior angle:
°
exterior angle at 65° interior angle:
°
exterior angle at 55° interior angle:
°

Answers

Exterior angle at 60° interior angle is 120°Exterior angle at 65° interior angle is 115°Exterior angle at 55° interior angle is 125°

Given,

The measurements of interior angles of a triangle are given:

60°, 65° and 55°

We have to find the corresponding exterior angles:

We know that exterior and interior angles are supplementary.

That is, the sum of the exterior and interior angle is 180°

So here,

Exterior angle at 60° interior angle:

180° - 60° = 120°

Exterior angle at 65° interior angle:

180° - 65° = 115°

Exterior angle at 55° interior angle:

180° - 55° = 125°

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which of the following is a weakness of plotting a scatterplot and drawing a regression line?

Answers

Answer:

A

Step-by-step explanation:

i just did this one

The weakness of plotting a scatterplot is given below

What is a scatterplot?

A scatterplot (also known as a scatter plot, scatter graph, scatter chart, scattergram, or scatter diagram) is a form of plot or mathematical diagram that uses Cartesian coordinates to represent values for a collection of data for generally two variables. One more variable can be presented if the points are coded (color/shape/size). The data is represented as a collection of dots, with the value of one variable defining the horizontal axis and the value of the other variable determining the vertical axis. A scatterplot can be used when one continuous variable is within the experimenter's control and the other is reliant on it, or when both continuous variables are independent.

The weakness of plotting a scatterplot is:

(A) This provides no indication of whether there is cause and effect relationship.

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Amber sold 23.4 pounds of chocolate. She sells the chocolate for $4.76 per pound. How much money did she collect?

Answers

Answer: She collected $111.38

I need the answer for these 2

Answers

The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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The science club members are using transformations on coordinate grids to track the movement of constellations in the sky. Choose the left side of the constellation depicted by the line passing through​ (1,7) and​ (2.5,1), and find the linear functions that correspond to the series of motions of the side given below.

Answers

The linear function passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the coefficients are described as follows:

The coefficient m is the slope of the function, representing the rate of change of the function.The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(1,7) and (2.5, 1).

The slope is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the intercept b of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the equation is:

y = -4x + 11.

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Find the slope of the line:

Answers

Answer:

20

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Choose any two points on the line. For this, I will use (0, 5) and (1, 25):

[tex]\frac{25-5}{1-0}=\frac{20}{1} = 20[/tex]

Can someone show me how to answer this question? On paper so I can see the steps clearly.
Thanks!!!

Answers

Using the comparison test, we have that [tex]\frac{2}{\sqrt[3]{n}}[/tex] is divergent, as the given sequence [tex]a_n = \frac{1}{n}[/tex] is divergent and [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1.

What is the comparison test for two series?

Suppose that we have two series, defined by [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex], considering that [tex]a_n, b_n \geq 0[/tex] for all n and [tex]a_n \leq b_n[/tex] for all n, then:

If [tex]\sum b_n[/tex] is convergent, then [tex]\sum a_n[/tex] also is convergent.If [tex]\sum b_n[/tex] is divergent, then [tex]\sum a_n[/tex] also is divergent.

For this problem, the sequences are given as follows:

[tex]a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}[/tex]

Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.

From the graph, we have that [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1, and since [tex]\frac{1}{n}[/tex] is divergent, as stated in the problem, then [tex]\frac{2}{\sqrt[3]{n}}[/tex] is also divergent.

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Help!
A. 1.5
B. 18
C. 24
D. 15

Answers

Answer:

the answer is B

Step-by-step explanation:

What is the position of the other number line below? Write the answer as a fraction or a mixed number

Answers

Given:

Number line is given.

D is point locateed in 2.6 on the number line.

D is in 2.6

Fully factorise w² - 144

Answers

Answer:

(w-12)(w+12)

Step-by-step explanation:

Using the identity

a^2-b^2=(a-b)(a+b)

now,

w^2-144=(w)^2-(12)^2=(w-12)(w+12)

Convert the measurement as indicated.

11 ft=_yd_ft

Answers

Answer:

3 yards, 2 feet

Step-by-step explanation:

Convert the measurement as indicated. 11 ft=_yd_ft

There are 3 feet in a yard so 3 yards (equal to 9 feet) and a remainder of 2 feet equal 11 feet so:

11 feet = 3 yards, 2 feet

56 POLES ARE SET 3 METERS APART IN A STRAIGHT LINE.HOW FAR IS IT FROM THE FIRST POLE TO THE LAST

Answers

Answer:

168 meters

Step-by-step explanation:

If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole

Hope this helps

-6n ≥ 18 or n+10> 18

Answers

The required result of the given inequality is n≤-3 or n>8.

What is inequality?

Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, -6n≥18 or n+10>18

-n≤18/6 or n>18-10

n≥-3or n>8

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Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?

Answers

The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

Estimation

Given data  or information :

Actual Product  =  ( – 21.06) (– 30.45)

Now let estimate the product by approximating the product to the nearest tenth.

Approximation :

So,

- 21.06 = - 21.1 ( Approximately )

- 30.45= - 30.5 ( Approximately )

Hence , her estimate can be calculated as :

Estimate :

Estimate =  ( - 21.1) (-30.5)

Estimate = - 643.55

Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

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The complete question is:

Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45

front-end estimation

rounding to the nearest tenth

rounding to the nearest whole number

compatible numbers

The diameter of the bicycle wheels is 22 inches what is the radius of the bicycle wheels what is the circumference of the bicycle wheels what is the area of the bicycle wheels

Answers

The radius, area, and circumference of the given bicycle wheels are:

Radius = 11 inCircumference = 69.14 inArea = 380.29 in

What are the area and circumference of a circle?The circle is a two-dimensional rounded figure in which all the points on the boundary of the circle maintain a fixed distance from a definite point called the center of the circle and the fixed distance is called the radius of the circle.The area of the circle is the total space taken by the circle.If r is the radius of the circle, the area of the circle is calculated by the formula:Area = πr²The circumference of the circle is the length of the boundary of the circle.If r is the radius of the circle, the circumference of the circle is calculated by the formula:Circumference = 2πr

So, the Diameter of the bicycle wheel = is 22 inches

Radius of bicycle wheel = 22/2  = 11 inches

Circumference of a bicycle wheel:

2πr2 × 22/7 × 11184/769.14 in

Area of bicycle wheel = πr²

22/7 × 11 × 112662/7380.29 in

Therefore, the radius, area, and circumference of the given bicycle wheels are:

Radius = 11 inCircumference = 69.14 inArea = 380.29 in

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PLEASE CAN SOMEONE HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Fill in the gap in the equation below by
completing the square.
2
x² +14x+55= (x + 7)² +

Answers

The correct value of the equation that's illustrated will be x² + 14x + 55= (x + 7)² + 6

How to illustrate the information?

It should be noted that an equation can be used in order to show the relationship between the variables.

It should be noted that (x + 7)² will be:

= (x + 7)(x + 7)

= x² + 7x + 7x + 49

= x² + 14x + 49

Therefore, x² 14x + 55 - (x² + 14x + 49) = 6

In conclusion, the answer in the box is 6.

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What number gives a result of −5 when 8 is subtracted from the quotient of the number and 6?

Answers

Answer: 18

Step-by-step explanation:

n=number

-5=n/6 - 8

-5*6=6(n/6 - 8)

-30=n - 48

48-30=n-48+48

n=18

Select all the intervals where h is increasing A:-1.5< x < -0.5B: 0 < x <1c: 3.5 < x <4D none of the above

Answers

So,

We can identify that the function is increasing when it goes up.

In this graph, we can notice that the graph goes up in the intervals:

[tex]-1.5As the function increases in that whole interval, the correct answers are A and B.

Need help for solving fox x

Answers

-6 is the value of X

The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:

Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.

Because, both the angles given in the question are vertically opposite to each other

Therefore, angle 80 degree = angle 86 + X

i.e   80 = 86 + X

-->   80 - 86 = X

-->   -6 = X

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The minimum value of Y in the equation y = x2 - 6x + 8

Answers

Given

[tex]y=x^2-6x+8[/tex]

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

[tex]y^{\prime}=2x-6[/tex]

Equating

[tex]y^{\prime}\text{ = 0}[/tex]

gives the minimum value we require.

Doing that, we have:

[tex]2x-6=0[/tex]

So that

[tex]\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}[/tex]

Therefore, the minimum value is x = 3

The point (-3,-2) is rotated 180 degrees about the origin. The coordinates of its image are:A. (−3,2)B. (3,2)C. (−2,−3)D. (2,3)

Answers

Given point :

(-3, -2)

When the rotation is about 180 degree about the origin then a point M(h, k)

will become M'(-h, -k)

So, the point (-3, -2) will become (-(-3), -(-2)) that is (3, 2)

Answer : Option (B)

lim
x→ pi/4
(sec x)/(4x^2 -5x)

Answers

The correct answer for the limit expression is √2 (π/4)(π - 5).

What is limit?

In mathematics, the value of the limit of a function always approaches as input and finally it approach to some value. It is used for the calculation of the continuity function, derivatives or calculus.

According to the question, the value of the variable 'x' should be substituted in the limit expression.

Now, the required expression will be:

[tex]\lim_{x \to \\pi /4} (secx)(4x^{2} -5x) = sec(\pi/4)(4(\pi /4)^{2} -5(\pi /4))[/tex]

Now, the value of the sec(pi/4) is √2

⇒ √2((π²/4)-5(π/4)) = √2 (π/4)(π - 5)

Hence, the correct answer for the limit expression is √2 (π/4)(π - 5).

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