Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution

Answers

Answer 1
3x + 2 - x = 11x + 9
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9

X= - 7 over 9

Answer 2

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

What are the properties of equality?

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

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Related Questions

find the scale factor of a drawing if the scale is 1 inch = 1/8 inch

Answers

Answer:

I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches

Step-by-step explanation:

The scale factor of the drawing if the scale is 1 inch = 1/8 inch is

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given that,

Scale of a drawing is,

1 inch = 1/8 inch

That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.

So, drawing is reduces by 1/8

So scale factor = 1/8

Hence the scale factor of the drawing is 1/8.

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I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

Write the ratio as a fraction in simplest form.
14 feet to 8 yards

Answers

Answer:

1 inch-8  lot of math make me brainliest

Step-by-step explanation:

3ft-8yd

or 36 in- 288in

18-144

9-72

3-24

Can someone help me pls

Answers

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )

Answers

Answer:

The slope is 7/5

Step-by-step explanation:

Here, we want to find the slope of the line

We use the slope equation

m = (y2-y1)/(x2-x1)

m = (35-70)/(25-50) = -35/-25 = 7/5

what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5

Or simply put

To form a purple color, add 7 part red to 5 parts blue drops

Which of the following represent an exponential growth function?

Answers

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x

Hi if anyone gets this pls help i understand but i wanna be sure

Answers

Answer:

A. [tex]8x^{6}[/tex]

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

What are similar triangles?

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

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please help me i’ve tried so many of these and i can’t figure out how to do it

Answers

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³

[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

[tex]\frac{left}{full}[/tex] × 100%

= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%

= [tex]\frac{169}{1100}[/tex] × 100%

= 15.4% ( to the nearest tenth )

Solve the following inequality.
7(6 - 4n) + 4n > 138

Answers

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

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

graph and find the coordinates ​

Answers

Answer:

a' (4,3)

b' (2,-3)

c' (-1,0)

to graph the triangles, you plot the points an then connect them to form a triangle. you have to plot triangle ABC and then triangle A'B'C'

Step-by-step explanation:

If 24 = 118, what is the measure of each of the other
angles?

Answers

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.

Since, m∠2 = m∠4 = 118° [Given]

m∠2 = m∠6 = 118° [Corresponding angles]

m∠4 = m∠8 = 118° [Corresponding angles]

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 118° = 62°

m∠1 = m∠5 = 62° [Corresponding angles]

m∠3 = m∠1 = 62° [Corresponding angles]

m∠7 = m∠5 = 62° [Corresponding angles]

A triangle has side lengths of 13, 15 and 25. Find the measure of the angle to the nearest whole degree that is across from the longest side. So find < L ?

Answers

Answer:

Answer in photo

Step-by-step explanation:

A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.

If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.

Answers

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

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I can't figure this out :/

Answers

Answer:

I believe it is d because when you get to negatives they are always on the left side

Step-by-step explanation:

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

im stressing and im losing points. i need help please

Answers

Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answers

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

Solve the system using substitution. Check your solution.
2x - y= 65
5y = x

Answers

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

PLEASE HELP

due today in 20 minutes
i will mark you brainliest

Answers

Excuse if I have this wrong but I’m going to guess that in every question how the 2 is up the m or the other letters that means you are multiplying that number/ letter by its self one more time so I’m not really sure, I’m sorry.

can you guys help me please the things are
A
B
or C

Answers

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

1. Suppose Alice eats 3 ounces of base 2 cake (doubles her height for each ounce eaten) at each meal. a) What will her height be multiplied by after two meals? b) After three meals? c) After four meals? d) After M meals?

Answers

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES

Answers

Answer:

90° degrees

Step-by-step explanation:

cause if you look closely inside the semi circle is a right angle and a right angle is 90°

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

IMPORTANT!!!


Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x

5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4

Answers

C & A I believe because 2+3 is 5 so that’s 5x

Write the word sentence as an equation. Then solve.

The quotient of a number x and −1.5 is 21.

Equation:

Question 2
Solution: x=

Answers

Answer:

-1.5-21x

Step-by-step explanation:

I am doing a percent equation problem and I need help please here’s the question 20% of blank =10

Answers

Answer:

[tex]50[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] blank (for convenience)

[tex]20\%x=10[/tex]

[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)

[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)

[tex]x=50[/tex]

∴ Blank = 50

Hope this helps :)

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