WHY must the same operation be performed on both sides of an equation? ​

Answers

Answer 1

Answer:When you are given a problem, the two sides are equal, so they are equally weighted. As long as you do the same thing on both sides, they remain the same weight. The only way that one side can become "more weight" on a side is if you make a math mistake, and thus the answer would not satisfy the original equation

Step-by-step explanation:looked it up... have a good day!


Related Questions

Simplify (1/2)^4.......................................................................

Answers

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

PLEASE HELP ME
- The value of y varies directly with x. If x= 4,
then y= 32. What is the value of x when y= 176?

Answers

Answer: Wouldn't that make it x=44

Step-by-step explanation:

I just divided 176 by 4  because it said the value of y varies directly with x. So just used the rule they used i guess.

find the first four terms of the sequence:

an= 54+ 3(n-1) n= 1, 2, 3...

Answers

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~54+3(1-1):[/tex]

[tex]\bold{Subtract~1~from~1~to~get~0.}[/tex][tex]\bold{Multiply~3~and~0~to~get~0.}[/tex][tex]\bold{Add~54~and~0~to~get~54.}[/tex]

[tex]2.)~54+3(2-1):[/tex]

[tex]\bold{Subtract~1~from~2~to~get~1.}[/tex][tex]\bold{Multiply~3~and~1~to~get~3.}[/tex][tex]\bold{Add~54~and~3~to~get~57.}[/tex]

[tex]3.)~54+3(3-1):[/tex]

[tex]\bold{Subtract~1~from~3~to~get~2.}[/tex][tex]\bold{Multiply~3~and~2~to~get~6.}[/tex][tex]\bold{Add~54~and~6~to~get~60.}[/tex]

[tex]4.)~54+3(4-1):[/tex]

[tex]\bold{Subtract~1~from~4~to~get~3.}[/tex][tex]\bold{Multiply~3~and~3~to~get~9.}[/tex][tex]\bold{Add~54~and~9~to~get~63.}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]\bold{Term~1=\boxed{54}}[/tex][tex]\bold{Term~2=\boxed{57}}[/tex][tex]\bold{Term~3=\boxed{60}}[/tex][tex]\bold{Term~4=\boxed{63}}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

-8(s+4) = -60

What is the value of s?

Answers

Answer:

s = 3.5

Step-by-step explanation:

Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60

We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60

After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.

At a sale, coats were sold for $136 each. This price was 85% of a coat's original price. How much did a coat originally cost?

Answers

The answer is 160
Hope this helps

5.6 divided by 7

A:8
B:7
C.8
D.7
Other:

Answers

Answer:

C

Step-by-step explanation:

Dude, just look it up.

Solve the system of equations using substitution.
- 4x + 4y= 8
y= -2x – 10
-
O (4, -18)
O (12, -34)
o(-4,-2)
O (-2,-6)

Answers

The answer is (-4,-2) .

You substitute the value of Y
solve the equation then substitute
the value of X, then again Slove

Answer:

(- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

- 4x + 4y = 8 → (1)

y = - 2x - 10 → (2)

Substitute y = - 2x - 10 into (1)

- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side

- 4x - 8x - 40 = 8

- 12x - 40 = 8 ( add 40 to both sides )

- 12x = 48 ( divide both sides by - 12 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = - 2(- 4) - 10 = 8 - 10 = - 2

Solution is (- 4, - 2 )

Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.

Answers

The dad said that he had to go back for the first time so he can take him ufci

Can someone tell me the answer I’ll give brainlist and points if you get it right

Answers

boi pretty sure the answer is 6


Jenni works at a salon and earns a 15% commission on her total sales. How much
must she sell in total in order to earn $90 in one day?

Answers

Answer:

$600

Step-by-step explanation:

90/0.15

Using the point you found in part F, divide the final y-coordinate by the final x-coordinate. What do you think the result represents? Explain.

Answers

I tried 14,29

Step-by-step explanat IDK

Kinsley's age is 7 years less than twice Jacob's age. If Kinsley is 13 years old, how old is Jacob? Choose the answer below that is a viable solution to this problem.
NEEED HELP PLZZ :(
A 5
B 10
C 1
D 2

Answers

Answer:

10x2= 20 -7 =13  :answer is 10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Kinsey is 7 years less than twice Jacob's age. Let's call Jacob's age x. IF we call Jacob's age x, our equation can be 2x-7 = 13

2x - 7 = 13

2x = 20

x=10

Jacob is 10 years old.

What is the value of x

Answers

Answer:

98 degrees

Step-by-step explanation:

First calculate the entire triangles angles:

180 - 53 - 45 = final angle of triangle

82 = final angle of triangle

Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:

180 - 82 = x

98 = x

Angle x is 98 degrees.

What is x equal to? And what is the scale factor?

Answers

Answer:

1. 225 km

2. 95 km

3. 412.5 km

Step-by-step explanation:

For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.

What is the slope of the line that passes through the points M (-3,5) and N (1,8)

Answers

Answer:

m=3/4

Step-by-step explanation:

See the attached above.

Hope it helps :)

The slope of line passing through M (-3,5) & N (1,8) will be 3/4.

We have been given a line passing through points M (-3,5) & N (1,8) .

We have to find out what will be the slope of the line ?

What is the formula for slope of a line ?

Slope of line is given by , m = (y2-y1) / (x2-x1).

Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).

here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8

The slope (m) of line will be ;

∵ m = ( y2-y1) / (x2-x1)

m = ( 8-5) / (1- (-3))

m = 3 / 4

To learn more about slope of line click here ,

https://brainly.com/question/16949303

#SPJ6

3
Graph y = 3/4X + 2

Answers

Answer:

Step-by-step explanation:

For some reason my other one didn't post the file

If this helped could I get brainliest please?

Find the area A of the polygon with the given vertices.
A(7,0).B(10,0). C(10,-1). D(7,-1)
square units

Answers

Answer:

9

Step-by-step explanation:

no

Geometry, any guesses? I missed a few days so I’m completely lost :(

Answers

J because they are corresponding

Which list shows the absolute values in order form least to greatest?

Answers

I believe the answer is D

Please help I don’t know itt

Answers

Answer:

I'm not sure what the options are but those are perpendicular lines and they form a right angle. I hope this helped.

Please help me find the domain and range

Answers

Answer:

Domain: (-∞,-1) U (-1,∞)

Range: (-∞,1) U (0,∞)

Solve for c.

2c^2 = 338

c = ?
c = ?

Answers

Answer:

C=13, -13

Have a wonderful day!!!

x^2+6x≤-5 with an explanation pls

Answers

Answer:

−5≤x≤−1

Step-by-step explanation:hope that helps :)))

x2+6x=−5

x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)

x2+6x+5=0

(x+1)(x+5)=0(Factor left side of the equation)

x+1=0 or x+5=0(Set factors equal to 0)

x=−1 or x=−5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤−5(Doesn't work in original inequality)

−5≤x≤−1(Works in original inequality)

x≥−1(Doesn't work in original inequality)

Answer:

−5≤x≤−1

x+6y=-36 solve for y​

Answers

Answer:

y=−1/6x−6

Step-by-step explanation:

the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation​

Answers

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?

Answers

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!

Answers

Answer:

d- the slope is undefined

Step-by-step explanation:

I want the answer PLZ

Answers

Answer:

3

Step-by-step explanation:

They have the same side length and its shown

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

I need help!!!
-10 = -5 (v-4)
a) 12
b) 6
c) 3
d) -8
What's the answer I need to know?!

Answers

Answer:

i think it is B

Step-by-step explanation:

i am not 100% sure

Answer:

B.

Step-by-step explanation:

-10 = -5 (v-4)

-10=-5v+20

-30=-5v

6=v

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