Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)


Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

Answers

Answer 1

Answer:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)

Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.

Therefore, [tex]3x-6+5x=26[/tex]

Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.

Therefore, [tex]8x-6=26[/tex]

Here, we add 6 to both sides.

[tex]8x=32[/tex]

Now, divide the both sides with 8.

[tex]x=4[/tex]

Therefore, the answer is:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)


Related Questions

2 + 36 ÷ 12 - 6 = 8. where does the parenthesis go to make 8 the answer​

Answers

Answer:

The parenthesis go around the 12 and 6, just like this. (12 - 6)

Answer- 2 + 36 ÷ (12-6)

SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data.

Answers

Answer:

You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.

Step-by-step explanation:

Explanantion is in answer.

I know it's sloppy but here's mine!

Pretty please help me!!!!!
What is the absolute value of the number indicated on the number line?

A. -1 3/7
B. 1 1/3
C. -1 1/3
D. 1 3/7

Answers

Answer:

1 and 1/3

Step-by-step explanation:

The absolute value means that you have a positive sign no matter what the value is. It is the distance in units from 0 on the number line to the point in question.

The number line is laid out in 1/6. Each tick is 1/6. Since the point is at 1 and 2/6, we have to reduce the fraction.  In 2/6 you can divide the bottom and top by 2 to reduce the fraction.

2 divided by 2 = 1

6 divided by 2 = 3

Therefore the 2/6 reduces to 1/3

You already know you had a 1, so you add 1/3 and it is 1 1/3.

Given (3x + 2) : (x - 2) = 7:5, what is the
value of x?​

Answers

Answer:

(3x+2)/(x-2)=7/5

5(3x+2)=7(x-2)

15x+10=7x-14

15x-7x=-14-10

8x=-24

X=-24/8

X=-3

complete the sequence:1,1,2,3,5,_,_,_

Answers

Answer:

8,13,21

Step-by-step explanation:

Basically,add the previous number to next number

Answer:8,13,21

Step-by-step explanation:

Graph the set on the number line.

Answers

Here’s the answer w explanation :)

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = ?

Answers

Answer:

The answer is 10080

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1

=5+10029+12+34

=10080 answer

Find n from following equation

Answers

Answer:

n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex]   OR   n =0.09953...

Explanation:

I don’t know if my answers are an option for you, but the following pictures show the explanation of it.

Hope this helps and answers you question :)

In City​ A, 4,099 of 5,289 ​residents, have reliable​ high-speed internet access. In City​ B, 15,798 of 20,868 residents have reliable​ high-speed internet access. In which town are residents more likely to have reliable​ high-speed internet​ access?

Answers

Answer:

4,099 and 5,011

Step-by-step explanation:

The answer is 4,099 and 5,011

A proportional relationship is shown in the table below:
x:
0
1.3
2.6
3.9
5.2
y:
0
1
2
3
4.
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.

Answers

Answer:  10/13

(13−0)

           = 10/13

(10−0)

13,10

Slope of the given line is [tex]\frac{10}{13}[/tex] and the equation of the line is [tex]10x - 13y = 0[/tex].

What is the slope of a line passing through two points?

The slope of a line(m) that passes through points (x, y) and (x, y) is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}}[/tex]

The given line passes through points (0, 1.3) and (0, 1).

Therefore, slope of the line is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{1.3 - 0} = \frac{10}{13}[/tex]

Now, the line passes through the point (2.6, 2).

Putting this equation in slope-intercept form, we get:

[tex]2 = \frac{10}{13}(2.6) + c\\c = 2 - 2\\c = 0[/tex]

The equation of the line will be:

[tex]y = \frac{10}{13}x\\10x - 13y = 0[/tex]

Learn more about slope of a line here: https://brainly.com/question/21504186

#SPJ3

a number subtracted from the product of
four and the number.

Answers

Answer:

x-(4+x)

Step-by-step explanation:

x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)

will mark brainlist

One number is 9 more than twice the other number. Their sum is 54. Find the numbers.

Answers

2x + 9 + x = 54
3x + 9 = 54
3x = 45
First number is 15
Second number is 2(15) + 9 = 39
The numbers are 15 and 39

Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) 5x4 + 2x2 -1 3x5-x+4 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation.) and the bottom asymptote is O B. The function has two horizontal asymptotes. The top asymptote is (Type equations.) O C. The function has no horizontal asymptotes.​

Answers

Answer:

I believe this is A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Enter the sum of the numbers as the product of their GCF and another sum.


35 + 56

The sum of the numbers as a product of their GCF is . please help im on a test!

Answers

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

what is the slopeof the function x=(-4) y=(-2)

Answers

Answer: The answer is -4. Hope this helps!

Find the slope of the line passing through the points (-3,-4) and (2, -4). Slope:

Answers

Answer:

0

Step-by-step explanation:

Slop of the line=y1-y2/x1-x2

Where x1,y1 point (-3,-4)

And X2,y2 point (2,-4)

So slop= (-4+4)/(-3-2)

=0/-5

So slop is 0

Suppose that you are asked to pick a card from a deck of 52 cards. Once you have selected a card, you place it face down on the table. You are then asked to selected another card from the deck. Is the event of you picking the first card going to affect the probability of the second card selected, why or why not? Are these events independent or dependent?

Answers

Answer:

Step-by-step explanation:

The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.

1/52 is the probability for the first card.

1/51 is the probability for the second card.

They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.

Step-by-step explanation:

The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.

The likelihood of getting the first card is 1/52.

The odds of getting the second card are 1/51.

They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.

Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.

Answers

Answer:

a. Only the x-value is given.

Step-by-step explanation:

Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.

The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.

Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.

Solution in coordinate pair form is (4, 3).

Therefore, the statement that describes the error is:

a. Only the x-value is given.

A box on kitty litter is 8 3/4 inches tall. How many boxes can be stacked on a shelf in the warehouse that is 40 inches tall?

Answers

Answer:

Probably about 4 boxes

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

The missing term is 10

Step-by-step explanation:

2/11=x/55

cross multiply

2*55=11x

x=10

I hope this helps :)

PLEASE HELP QUICKLY!!!


A sequence is defined by the recursive rule a1 = -4, an = an-1 +5. What is the seventh term of the sequence?

Answers

When in doubt choose c

CAN I GET A MC PICK TOTOROTOTOTOOTOTOTOTOTOTOTOTOTOTOOOOOOOOO

Answers

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

Answer:

***T O O T***

if 3(2x-4)=-36 ,the value of x is

Answers

Answer:

x = -4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

What is a number that when you multiply it by 9 and then add
6 to it, you get 60?

Equation:

Solution:

Answers

Answer:

equation: 9x+6=60

solution: 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6×9=54

54+6+=60

using the law of sines, solve for ‘x’

Answers

Answer:

[tex]x=9.91098[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

PreCalc

Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

Step-by-step explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

Substitute:                    [tex]\frac{sin(15)}{7.5} =\frac{sin(20)}{x}[/tex]Cross-multiply:             [tex]xsin(15)=7.5sin(20)[/tex]Isolate x:                       [tex]x=\frac{7.5sin(20)}{sin(15)}[/tex]Evaluate:                       [tex]x=9.91098[/tex]

Factor 12x^3-19x^2-13x-6 given that x-2 is the factor

Answers

Answer:

x-2(6x^2-4.4x-6.5-3) I believe.

Nolan bought 7 packs of
Starbursts, x. He had a
total of 98 individual
Starbursts, y Determine
the constant of
proportionality and write
a linear equation to
represent the
relationship

Answers

14

Divide 98 by 7, you get 14.

This is how many starburst are in each packet.

What is the probability of getting one or fewer people with a chronic heart condition in a sample of 22 if 25% of the population in this age bracket?

Answers

The question is incomplete. The complete question is :

The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state.

Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 25 if 25% of the population in this age bracket has this health problem?

Solution :

Chronic heart disease is a condition where a person's heart have trouble to pump blood to the body. It develops over a period of time.

In the context, we can see from the figures from National Center for Health Statistics that the expected number of persons of age 65 - 74 years having a chronic heart disease is about

25 % of 25 = 6.25

Now by Poisson's ratio, the probability of choosing the sample where only one person having heart disease is 1.4%

Find the slope of the following line. y=−5x+6

Answers

Answer:

5 or [tex]\frac{5}{1}[/tex]

Step-by-step explanation:

In the formula y = mx + b, m stands for slope and b stands for y- intercept!

the equation is in the form y=mx+b where m is the slope so... slope equal to -5 or -5/1

ANS: -5

(Giving brainliest if u help!!)

Solve 9,168 ÷ 24 using standard algorithm
(Pls draw it out)

Answers

Answer:

382

Step-by-step explanation:

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