Solve the equation 4x - 6 = 34. Write a justification for each step.


47-6= 34


Given equation


+6 +6


4x


Simplify.


= 40


4x 40


44


[2]


X= 10


Simplify


[1] Addition Property of Equality,


[2] Reflexive Property of Equality


[1] Substitution Property of Equality,


[2] Division Property of Equality


[1] Division Property of Equality,


[2] Subtraction Property of Equality


[1] Addition Property of Equality:


[2] Division Property of Equality


8

Answers

Answer 1

Answer:

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:

[tex] 4x - 6 = 34 [/tex] => Given equation

Add 6 to both sides

[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]

[tex] 4x = 40 [/tex] => simplify

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]

[tex] x = 10 [/tex] => simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality


Related Questions

you can walk 1 1/2 miles in 1/2 hour. what is your average speed?

Answers

Answer:

3mph

Step-by-step explanation:

Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).

1. 1.5 mi=0.5 hr

2. Multiple 0.5 by 2 to get one hour, and do the same to the other side

2(1.5)=2(0.5)

3. 3mi=1hr

4. The answer is 3mph

⎧ ​ y=4x(x−2) x+y=2 ​ One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))

Answers

7.5 is the answer to your very long problem

5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?

Answers

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

How many solutions does the equation −4y + 4y + 2 = 2 have?
a. Two
b. None
c. One
d. Infinitely many

Answers

Answer:

D

Step-by-step explanation:

Let's solve your equation step-by-step.

−4y+4y+2=2

Step 1: Simplify both sides of the equation.

−4y+4y+2=2

(−4y+4y)+(2)=2(Combine Like Terms)

2=2

2=2

Step 2: Subtract 2 from both sides.

2−2=2−2

0=0

Answer:

All real numbers are solutions.

1/5+x+2/3=1 PLEASE HELP

Answers

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?​
PLZ HELP WILL GIVE BRANLIST

Answers

Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

What is the answer to this question?
will get arwarded if you give a good explanation
(4x-3)(x-1)

Answers

Answer:

4x^2-7x+3

Step-by-step explanation:

(4x-3)(x-1)

4x^2-4x-3x+3

4x^2-7x+3

HELP URGENT‼️‼️

Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?

Answers

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

24 = -3(2а — 15) — а

Answers

Answer:

a=3

Step-by-step explanation:

24= -3(2a-15)-a -->given

24=-6a+45-a -->distribute the -3

24=-7a+45 -->combine like terms

-21=-7a -->subtract 45 from both sides

3=a -->divide both sides by -7

What value of x makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
x= 3
x= 4
x= 3.75
x= 4.25

Answers

Answer:

Value of x = 3

Step-by-step explanation:

Given:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

Find:

Value of x

Computation:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

2.5 x - 0.75 = 1.5 x + 3 - 0.75

x = 3

Value of x = 3

Answer:

x=3

Step-by-step explanation:

Hey everyone! I was just browsing around on google, and found this is the hardest question ever...

Is there anything you know you should let go of, but you haven’t yet? Why?

Can Brainly answer it?! I guess time will tell! Also, first gets branliest!

(NO WASTING MY POINTS EITHER)

Answers

Answer: Yes my bestfriend

Step-by-step explanation:

Answer:

yes, that fact that i think im smart and that others think im smart too XD im rly dum, i hate school, my brain hurts all the time, and my dyslexia isn't helping at all. being in online school is very difficult for me cuz im not learning anything im just getting my work done (sometimes) and trying to get through the day.

Which equation has exactly one solution?.
A. – 4 + 2x = 6x – 4
B. 3x + 5 = 2x – 6
C. 2(4x + 5) = 8x + 10
D. 4x – 8 = 4(x – 4)

Answers

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0

The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?

A. -12/13
B. -5/13
C. 5/12
D. 12/13

Answers

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

I NEED HELP PLEASE 10 points

Answers

Answer:

b.y=1/2x-3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I took the assignment

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps

pleaseeeeeeeeeee helppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!! im literaly using half of my points i have left !!1111

Answers

Answer: The  amount that they made together is 130,640 The amount that the agency made is 20,240

Step-by-step explanation:

To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.

What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP

Answers

Answer: 0.31

Step-by-step explanation:

Simple division.

Answer

the Answer is 12

Step-by-step explanation:

-8+15+2x=5+6x-6x

News ASAP
My teacher didn’t teach me this

Answers

Answer:

x = -1 you have to combine like terms.

X=-1 is the correct answer. All you have to do is isolate the variable and divide each side by the factors that don’t contain the variable:)

x + 3x-1 + 2x+1 what is the perimeter

Answers

Answer:

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

Step-by-step explanation:

(-1)(-11) please solve!!

Answers

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

Find the product of the two binomials below
(x-8) (x+4)

Answers

Multiply it out
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
X2 - 4x - 32

That’s your answer, hope this helps! Also, the 2 is supposed to be up on the right by the x.

Find The Value Of Segment JK

Answers

Answer:

Step-by-step explanation:

since the two triangles are congruent,

GH = JK

Since, GH = 10 cm

JK is also 10 cm

Hope this helps

plz mark as brainliest!!!!!!

BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)

Answers

Answer: x2+17x+3

Step-by-step explanation:

2x2+7x−x2+10x+3

=2x2+7x+−x2+10x+3

Combine Like Terms:

=2x2+7x+−x2+10x+3

=(2x2+−x2)+(7x+10x)+(3)

=x2+17x+3

SHOW YOUR WORK
20x4.17

Answers

20x4.17
Answer = 83.4

Answer:

83.40

Step-by-step explanation

_______________2 0________

×     4 1 7

________________________

+     1 4 0

+     2 0  

+   8 0

___________________________    

=  8 3. 4 0

1) What would be another way to name plane M?
(picture attached)

A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

Answers

The correct answer is C plane HJG

PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!

Answers

Answer:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

what difficulty did you encounter in determining polynomials?​

Answers

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

what is 2/5 of 110??

Answers

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

Help please! Answer only if you know the correct answer, thanks.

Answers

Answer:

AB and AC

Step-by-step explanation:

I think I'm not 100 but....

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