What is the justification for each step in the solution of the equation?

5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.

Answer:

56 adults and 35 children

Step-by-step explanation:

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Raise 2.5 to the power of 2 =

6.25

Pull terms out from under the radical, assuming positive real numbers =

5

Answer:

x = 5

Step-by-step explanation:

3x + 1 should equal 16

Answer:

X=5

Step-by-step explanation:

3x+1=16

move the 1 over to the 16 so it is 16 - 1 = 15

3x=15

Move the 3 over to where the 15 is in order to get x by itself

3/3 = x

3/15 = 5

so X should = 5

Answer:

1/8 x 1/4=18

Step-by-step explanation:

I think it times

I HOPE IT WILL HELP YOU.

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Answer:

Step-by-step explanation:

Given points on the line:

Find the slope:

Point slope form using the first point:

Correct choice is B

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) ~

now, let's use the slope and the points to write the equation of line in point slope form ~

Answer:

D) 2x^2 + 6x - 4

Step-by-step explanation:

I took the quiz and got a 100%

Answer:

J= 16.857°

K= 88 .4°

L=74.7°

Step-by-step explanation:

let x represent the angle of J

x° +(4x+21)° +(2x+41)° =180°

x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)

Collect like terms

x + 4x + 2x = 180 - 21 - 41

7x = 180

x =180/7

x=16.857

Therefore,

J = 16.857°

K=4x+21

=4(16.857)+21

= 67.4+21

=88.4°

L=2x +41

=2(16.857)+41

=33.7+41

= 74.7°

Sum of angles in the triangle =

16.857+88.4+74.7=179.9 approximately 180°

Hope this helps....

Answer:

The square route of 15 is irrational

Answer:

Step-by-step explanation:

The measure of angle TVU is 74 degrees.

The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.

Linear pair of angles are formed when two lines intersect each other at a single point.

According to the given question.

m ∠STV = 108 degrees

And,

m ∠RST = 74 degrees

Since, ∠RTS and ∠STV are linear pair of angles.

Therefore,

m ∠RTS + m ∠STV = 180

⇒ m ∠RTS + 108 = 180

⇒ m ∠RTS = 180 - 108

⇒ m ∠RTS = 72 degrees

Now, in ΔRTS we have

m ∠RTS + m ∠TSR + m ∠SRT = 180  (sum of the angles of a triangle is 180 degrees)

⇒ 72 + 74 + m ∠SRT = 180

⇒ m ∠SRT = 180 -146

⇒ m ∠SRT =  34 degrees

Here, ∠SRT and ∠TVU are alternate interior angles.

Therefore,

m ∠SRT = m ∠TVU

⇒ m ∠TVU = 74 degrees.

Hence, the measure of angle TVU is 74 degrees.

Find out more information about alternate interior angles and linear pair of angles here:

https://brainly.com/question/19588918

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[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle ABC

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]

We know,

Sum of all interior angles of a triangle is supplementary.

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]

On adding equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]

On substituting the value in equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]

Also, from equation (2), we get

[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]

Hence,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]

Answer:

angle A=30°

angle B=95°

angle C=55°

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

Answer: Its is 1

Step-by-step explanation:

Answer:

I don't know ::{

Step-by-step explanation:

symbolab

Step-by-step explanation:

it's free it can help you a lot I promise

Answer:

1/5

Step-by-step explanation:

Answer:

download Gauthnath and see answer

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

Answer:

The 3rd one

Step-by-step explanation:

Answer:

the third option

Step by step explanation

Answer:

0.000067

or

6.7*10^-5

Step-by-step explanation:

brainliest plz

Up 8 Units, Hope this helps :)

Answer:

6,1 because 61's square root is 3721

Answer:

x² - 14x + 49

Step-by-step explanation:

Simplifying (x-7)²:

(x-7)²

= (x-7)(x-7)

= x(x-7) - 7(x-7)

= x² - 7x - 7x + 49

= x² - 14x + 49

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

The answer is

[tex]5\frac{6}{7}[/tex]

Answer:

5.857

or

5 6/7

Step-by-step explanation: both are the same just one in decimal and the other is in fraction form

Answer:

4.66666666667 to be exact

Step-by-step explanation:

divide 3 into 14

-NULL

Brainliest will be appreciated thank you!

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

Answer:

B

Step-by-step explanation:

it is honestly based on storys and movies so zesu is one of them its the same thing for harry potter too

Answer: B. His new supervisor wanted Zeus-like authority over everyone

Step-by-step explanation: I took the quiz and got it right