Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.

Adelle Solved The Equation, 4x/7 - 6 = -20 , As Shown.Fill In The Following Blanks With The Correct Justification

Answers

Answer 1

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

Answer 2

The value of x for the given linear equation is -24.5.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

 

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Related Questions

help pls !! i am confused

1. 2. 3. 4.

Answers

<NOR and <ORS<QRO and < ROP

The letter in front of a number, showing multiplication.


A.) Combining like terms
B.) Coefficient
C.) Distributive property
D.) Like terms

Answers

A it’s A because you’re combining those two things to get your answer

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

Please help me

if v=6, w=-9, and x=7

Answers

Answer:

im sorry but r u even trying..... bc i just answer one of ur questions

Step-by-step explanation:

-19

(-9)^2 = 81
3(6) + (7) = 25
(-9) + (6-1) = -4

Now solve. 81-5= 76
76\ -4 = -19

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Compute the fare without tip: 4 passengers, 20 miles.


$57.50


$59.70


$56.40


$58.60

Answers

I had this question earlier, and if I remember correctly the answer was 56.40

If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.

Answers

The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

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Answer:

Its B. 2

Step-by-step explanation:

Edge

What is the correct answer for this?

Answers

Answer:

Tan (X) = 72/65. = 1.1

Step-by-step explanation:

tan x = (opposite side) / (adjacent side)

From angle X the adjancent is the closest leg which has the value of 65 and the opposite is the furthest leg with a value of 72. (the line that is connecting the legs which is the biggest line is the hypotenuse and has a value of 97). You will not need the hypotenuse I just gave you extra information for future purposes.

so, since tan x = (opposite side) / (adjacent side):

Tan (X) = 72/65.

What is 100 x (81 + 283) - 67 x 4

Answers

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

Determine the sign of the trigonometric values listed below.
(i) sin 250°
(ii) tan 330°
(iii) cos(-40°)

Answers

Answer:

(i) sin 250°: negative

(ii) tan 330°: negative

(iii) cos(-40°): positive

Step-by-step explanation:

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!

Answers

Answer:

10

Step-by-step explanation:

First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.

So 2x + 4x - 10 = 4x.

6x - 10 = 4x

6x - 4x - 10 = 4x - 4x

2x - 10 = 0

2x - 10 + 10 = 0 + 10

2x = 10

x = 5.

IJ is 4x - 10, so it becomes 4(5) - 10

20 - 10 = 10

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

In two or three sentences, summarize what the essay suggests could help women succeed in

business. How does the summary help you identify Sandberg's message, audience, and

purpose?

Answers

The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.

Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.

About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:

Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.

Moreover, this idea helps identify other elements of the text by stating the main purpose.

Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.

Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.

"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.

Learn more about sexism in: https://brainly.com/question/6022376

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.

Answers

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

1/2x + 4 = 3 (x - 1/3) what is the solution

Answers

Answer:

x = 1.76129406    

x=0.09462739

Step-by-step explanation:

Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)

Answers

[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]

what is 7x5 and ummmmmm

Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=

Answers

Answer:

Step-by-step explanation:

Given:

y1 = 5.2

y2 = 1

x1 = 0

x2 = -1.5

Solution:

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

m = ( 1 - 5.2 ) / ( -1.5 - 0 )

m = -4.2 / -1.5

m = 2.8

then

y - y1 = m ( x - x1 )

y - 5.2 = 2.8 ( x - 0 )

y - 5.2 = 2.8x - 0

y = 2.8x + 5.2

solve 4/6 x 2/5(PLEASE HELP I'M FAILING MATH!!!!!!!!!!!!!!!!!!!!!!!!!!)

Answers

[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find the value of x, y, and z, in the rhombus below.

Answers

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

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the product of 20 and z

Answers

Answer:

20z

Step-by-step explanation:

just times 20*z which give you 20z

The solution set of inqulity 4>-2x in R is …

Answers

[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]

help I have foreign parents.....they will literally disown me if I fail - ♥️​

Answers

Answer:m∠1 = 51°Step-by-step explanation:

We know that:

Total degrees of triangle: 180°

Using this clue, we can find m∠1.

=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:

We have finally found the answer to the missing angle. The answer is 51°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

if f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)

Answers

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

Please help I’ll mark brainliest!!!

Answers

Answer:

B

Step-by-step explanation:

As x gets bigger or smaller, y approaches negative infinity

What is the least angle measure by which this figure can be
rotated so that it maps onto itself?

O 45°

O 90 °

O 180°

O 360°

Answers

Answer:

Step-by-step explanation:

360° degrees

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The two-dimensional figure is shown in the picture.

As we know from the definition of the geometric transformation; the change in coordinates and the shape of the geometrical body and geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees

Because the rotation of 45, 90, and 180 degrees cannot map the figure onto itself.

Thus, the least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

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56 is what percent of 80

Answers

Answer:

70%

Step-by-step explanation:

Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.

Hopes This Helps :)

Complete the pairs of corresponding parts if RST=TXY

Answers

Answer:

R ⇔ TS ⇔ XT ⇔ YRS ⇔ TXRT ⇔ TYST ⇔ XY

Step-by-step explanation:

Corresponding parts are listed in the same order in the congruence statement:

  RST ≅ TXY

  R ⇔ T

  S ⇔ X

  T ⇔ Y

  RS ⇔ TX

  RT ⇔ TY

  ST ⇔ XY

_____

Above, we have used ⇔ to mean "corresponds to."

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