why are the properties of equality important in solving equations?​

Answers

Answer 1

Step-by-step explanation:

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it


Related Questions

Convert 3 3/8 to a improper fraction

Answers

The answer would be 27/8.

Find the slope of (-1,4) and (5, 7)

Answers

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

Point (5, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-4}{5+1}[/tex]Subtract/Add:               [tex]m=\frac{3}{6}[/tex]Simplify:                        [tex]m=\frac{1}{2}[/tex]

Simplify: 12 + 4n + 5 - 2n - 10

Answers

Answer:

2n+7

Step-by-step explanation:

4n -2n =2n
12+5-10=7
Answer is 2n + 7

Lauren's cat weighs 3 pounds more than half of Adrian's cat. Lauren's cat weighs 10 pounds.
What equation can be used to find w, the weight of Adrian's cat?

Answers

Answer:

w = weight of Adrian's cat

c = weight of Lauren's cat

c = 3 + w/2

given: c=10

10 = 3 + w/2

Solve to get 'w':    20=6+w; w=14 pounds

Step-by-step explanation:

What is the solution to the equation: 3(-2x - 1) = 2(x + 5)?

A. −3/4
B. 13/8
C. −13/8
D. 3/4

Answers

C

remove the parentheses

move the terms

collect like terms and calculate

divide both sides

and you get -13/8

can someone answer this pleaseEEEee

Answers

Answer:

The answer is 15.

Step-by-step explanation:

You should read the explanations on previous answers so you don't have to keep posting these.

Answer:

I suggest wyzant.com, it solves these types of questions

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    Dea

Find f '(x) for f(x) = 4x3 - 3x2 + 9x - 5. (5 points)

Answers

Answer:

12x^2-6x+9

Step-by-step explanation:

f(x) = 4x^3 - 3x^2 + 9x -5

f'(x) = nx^n-1

f'(x) = 12x^2 - 6x + 9

Please help me out with this

Answers

Answer:

C.) x≥ -2/3

Step-by-step explanation:


25. Use a graph of the function f(x) = -2x - 3 to find the value of y when x = -4, Whoever Gets this awnserd correctly will get brainilest and all of my points! I have over 100
.

Answers

Answer:

y=5

Step-by-step explanation:

I NEED HELP FAST! I WILL MARK BRAINLIEST!


I am building a wall for a house. The wall is shaped like a right triangle. Leg A is 22ft and leg B is 25ft. What is the length of the hypotenuse?

Answers

Answer:

the answer is 33 or 33.302

Step-by-step explanation:

hope this helps :)

Answer:

33.3

Step-by-step explanation:

a²+b²=c²

22²+25²=c²

484+625= 1109

√1109= 33.3

hope that's right,your highness...

A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area?


A) The value must be exactly 1 or -1 to indicate a linear model is the most appropriate model.


B) The value must be 0 to indicate a linear model is the most appropriate model.


C) A causal relationship should be established first before determining the most appropriate model.


D) The value of 0.94 implies that only 88% of the data have a linear relationship.


E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Answers

Answer: E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Step-by-step explanation:

The correlation Coefficient of 0.94 obtained is peculiar to the linear model upon which the data was represented. Since the correlation Coefficient usually span between - 1 to + 1, it is very possible that, if the dataset is represented on a different model such as an exponential or quadratic model, the correlation percentage obtained may be better than that produced by the linear model.

Please help, DUE TODAY. If correct I will mark Brainliest.

Answers

Answer:

222

Step-by-step explanation:

Closely pay attention to the transversal line running from up-left to down-right.

y) you will notice that the angle to the right of z is corresponding with 50 then 50 will be vertically opposite 6y + 2 hence making them equal.

6y - 2 = 50

6y = 50 - 2

6y = 48

y = 6

z) vertically opposite angles are equal hence the 50 will be equal to the empty space in the triangle.

z + 60 + 50 = 180

z + 110 = 180

z = 180 - 110

z = 70

2y + 3z

2(6) + 3(70)

12 + 210

= 222

Ronnie had a balance of $50 in his savings account. On Monday, he deposited $75.
Two days later he withdrew $20. He then deposited $220 on Friday afternoon.
How much should he deposit if he wants to have at least $400 in his savings
account?

Answers

Answer:

125$ have a good day

Step-by-step explanation:

Simplify the expression:
5(3m - 6)

Answers

Answer:

15m-30

Step-by-step explanation:

To simplify this expression we simply need to multiply the equation out to get rid of the parenthesis.

So, 5 X 3m = 15 m and 5 X 6 = 30

So, our simplified expression is 15m-30

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!

The simplest form of the expression is 15 (m - 2).

We have,

5 (3m - 6)

- Distributive property in the expression.

5 x 3m - 5 x 6

15m - 30

- Factoring out 15.

15 (m - 2)

Now,

It can not be further simplified.

Thus,

15 (m - 2) is the simplified form of the expression.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Find the quotient: 6/2 divided by 3/4.

Answers

Answer: the quotient is 4

Answer:

4

Step-by-step explanation:

6

2

÷

3

4

=  

6/4

×

2/3

=  

6 × 4

2 × 3

=  

24/6

=  

24 ÷ 6

6 ÷ 6

=  4

Write the equation of the line perpendicular to y=4/3x+1 that passes through the points (-8, 4).

Answers

Answer:

The equation is;

y = -3/4x + 12

Step-by-step explanation:

The general form for the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

With respect to this question;

4/3 is the slope and 1 is the intercept

If two lines are perpendicular, then the product of their slopes is -1

Mathematically;

4/3 * m2 = -1

m2 = -3/4

So to find the equation of this second line, we use the point slope form

This is;

y-y1 = m(x-x1)

y-4 = -3/4(x + 8)

y- 4 = -3/4x + 8

y = -3/4x + 12

Which property does this example show x + y + 0 = x + y

Answers

Answer: Identity Property of Zero

can someone tell me how to do this????

Answers

Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

-------

Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

================================================

Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

--------------

If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

---------------

The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

So that's why the answer is "no" to both of these questions.

Answer:

No and No.

Step-by-step explanation:

help me please !! thank you!

Answers

This what got , hope it helps

find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answers

Answer:

the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

[tex]t^2=324[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]

as

[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]

so

[tex]t=18,\:t=-18[/tex]

Thus, the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Ur account got ha ked again...

well...

ill let you see for

if little jimmy has $384729204399763848349392489996544454475748485119282937346584393213474738473.00 and butthead has $23345564757548585738494872934820417437474744841656954566503756532865286535632896526156275657516963654354639565435645561539655643584361956569415655635763793465756573465953465430161589584395538953765397528935972525795270.00 how much more money does Butthead have than Little Jimmy? will mark brainless

Answers

Answer:

Butthead has $2.3345564757548586e+217 more money than Little Jimmy. Step-by-step explanation:

Since we need to find the difference, subtract the larger number by the smaller number. In this case, Butthead’s money minus Little Jimmy’s money. The two SUPER BIG numbers can be converted to:

2.3345564757548586e + 217 − 3.8472920439976386e + 74

This equals: 2.3345564757548586e+217

So, Butthead has $2.3345564757548586e+217 more money than Little Jimmy.

There you go!

Answer:

since the person above me needs brainliest im answering so she/he will get it

Step-by-step explanation:

a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897​

Answers

Answer:

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]

Thus, option A is true.

Step-by-step explanation:

Given the expression

[tex]log\left(\frac{1}{2}\right)[/tex]

[tex]=\log _{10}\left(2^{-1}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]

[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]

so the expression becomes

[tex]=-1\cdot \log _{10}\left(2\right)[/tex]

[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]

[tex]=-\log _{10}\left(2\right)[/tex]

substituting the value of log 2 = 0.30103

[tex]\:=-0.30102[/tex]

Thus,

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]

Therefore, option A is true.

what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000

Answers

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone

Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:

Cat toy $4

Cat food $12

Litter box $16

Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.

Answers

Answer: 16x+96

Step-by-step explanation:

Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96

Which expression is equivalent to -3(4x - 0.50)?

A. -12x - 1.50
B. -12x + 1.50
C. -12x - 2.50
D. -12x - 3.50

Answers

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

HELP ILL GIVE YOU 50 POINGS

Answers

Answer:

D

Step-by-step explanation:

Break it into different shapes and find the areas. add the areas for the answer: D

9x4=36

9x20=180

9x2=18

36+180+18=234

Answer:

d

Step-by-step explanation:

((4*9)/2)+(4*9)+(9*20)

HELP PLEASE
If X represents the number of pictures, write an equality to represent the situation!

Answers

Answer:

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

Step-by-step explanation:

Given that:

Rent for lighting equipment = $25

Price per print = $2.55

Selling price of one picture = $10

x be the number of pictures.

Selling price * No. of pictures sold ≥ Price of per print * pictures printed + rent

10x ≥ 2.55x +25

10x-2.55x≥25

7.45x≥25

Dividing both sides by 7.45

[tex]\frac{7.45x}{7.45}\geq \frac{25}{7.45}\\x\geq 3.35[/tex]

Hence,

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

Please help!
For the following system,

3x + y = 8
−x − 2y = −10

if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation?
−2y + 10
2y + 10
2y − 10
−2y − 10

Answers

Answer:

-2y+10

Step-by-step explanation:

-x - 2y = -10

add 2y to both sides

-x = -10 + 2y OR 2y - 10

divide both sides by -1

x = -2y+10

How much money did you save if the original price was $21 and this discount was 28%

I saved $ ?​

Answers

Answer:

Step-by-step explanation:

it would be 15.12 and you would save5.88

what is the standard form of -1

Answers

Answer:

Negative one

Step-by-step explanation:

Standard form is when you write out the number.

ex. 45 is forty-five

     102 is one hundred two

Hope this helps!

Negative one (the standard form is a number written out like 25 is twenty five)
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