Consider the sequence of steps to solve the equation: 3(x - 4) + 5x = 9x - 36
Given = 3(x - 4) + 5x = 9x - 36
Step 1 = 3x - 12 + 5x = 9x - 36
Step 2 = 3x + 5x - 12 = 9x - 36
Step 3 =› 8x - 12 = 9x - 36
Step 4 => 8x - 8x - 12 = 9x - 8x - 36
Step 5 = 0 - 12 = x - 36
Step 6 = -12 = x - 36
Step 7 = -12 + 36 = x - 36 + 36
Step 8 = 24 = x + 0
Step 9 = 24 = x
Which property yields Step 7?

Answers

Answer 1

Answer:

adding equal no. to both sides of the equation


Related Questions

Slope intercept form of an equation of a line

Answers

Answer:

Step-by-step explanation:

4a. yes: 5 = 3(2)-1    5 = 6 - 1      5 = 5

4b.  No: 1 = 3(4) + 1

      1 = 12 + 1

       1 ≠ 13

4c. No; 1 = 3 - 3

            1 ≠ 3

4d. yes; 7 = -3(5) + 22

              7 = -15 + 22

              7 = 7

4e. no; -8 = -2(-4)

             -8 ≠ 8

4f. no; 8 = -2 + 11

           8 ≠ 9

       

PLEASE HELP 25 POINTS!!!

Answers

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify following

a1 = 2r = 1/2

Solve:

[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =4[/tex]

The sum of this infinity series is 4

what is :
2 tons + 10 pounds
And
4 tons + 10 pounds
and then explain it properly​

Answers

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

Can a triangle have sides with the given lengths?
2 in, 4 in, 6 in

Answers

Answer:

NO

Step-by-step explanation:

Because the sum of the minor sides equals the measure of the major side, it must be less.

2 + 4 = 6

Hope this helps

Evaluate the determinant

Answers

d. negative 67 because laplace’s expansion

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3​

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

That’s the Answer in the right order

Answers

Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled. How many rolls of film did Adelle use?

Answers

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Given that circumference of a circle is 44m. Calculate it's area​

Answers

Answer:

Area=154.062 [tex]m^{2}[/tex]

Step-by-step explanation:

As Circumference of a circle is given by;

[tex]C=2\times \pi\times r[/tex]

As the circumference is 44m so we can calculate the value of r by using the above formula.

[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]

Now to Calculate the Area of a Circle.

As the area of a circle is,

[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]

.
A jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability of selecting a red marble followed by a green marble?

Answers

Answer:

red marbel

[tex] = \frac{3}{13} [/tex]

green marbel

[tex] = \frac{9}{26} [/tex]

Step-by-step explanation:

for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel

The key phrase here is “not replaced”
The probability of choosing red first is 6/26
There are only 25 marbles left!
The probability of now picking green is 11/25.
So P(Red then Green) = 6/26 x 11/25 = 66/650 = 33/325

Ms. Wall will roll a dice. What is

the probability that she will roll an even number?

Answers

Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

50% because of the sides of dice

In the given right triangle, write all trigonometric ratios ?

Answers

Answer:

see below

Step-by-step explanation:

You will need the hypotenuse   12 ^2 + 9^2 = h^2   h = 15

In a right triangle:

S O H   C A H  T O A

sin s  =   S A H  = Opposite / Hypotenuse =   12/15

cos r = C A H  = Adjacent / Hypotenuse    = 12/ 15

Tan s = T O A =  12 / 9

cos (theta) = cos s  = 9 / 15

Tan r = 9/12

arc cos(theta) = theta = arccos(9/15) = 53.13 degrees

Help urgent need this help please

Answers

Answer:

First option is the correct answer

[tex] A(\triangle ABC) =572\: yd^2[/tex]

Step-by-step explanation:

Given scale is: 3 cm = 6 yd [tex] \implies[/tex] 1 cm = 2 yd

Based upon the above scale, we find:

Base of the triangle (AC) = 13 cm = 26 yd

Height of the triangle (h) = 22 cm = 44 yd

[tex] A(\triangle ABC) = \frac{1}{2} * AC*h[/tex]

[tex] \implies A(\triangle ABC) = \frac{1}{2} (26)(44)[/tex]

[tex] \implies A(\triangle ABC) =572\: yd^2[/tex]

One number is ten more than twice another. Their sum is one. Find the numbers.​

Answers

answer:

x = 4

y = -3

steps :

x = 10 + 2y

x + y = 1

2y = x - 10 -> y = 1/2x - 5

x + y = 1 -> y = 1 - x

since theyre both equal to y they are equal to each other

1/2x - 5 = 1 - x

3/2x = 6

x = 4

plug 4 back where x is

y = 1 - 4

y = -3

https://brainly.com/question/13442163

Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?

Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

Select a card from a set of cards with the letters A through D, then spin this once.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.

Spin this and roll an 8-sided number cube with the digits 1 to 8.
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.

Select a card from a set of cards with the letters A through N, then spin this once.

Answers

The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube

Which sets of actions can he use to have a statistically fair game?

We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.

Of the given options, the only one that has a sample space of 24 elements is the first one.

Toss a coin twice and then roll a D6.

For each coin toss, the outcomes are 2 (tails and heads).

For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)

Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:

C = 2*2*6 = 4*6 = 24.

From this, we conclude that this is the correct option.

If you want to learn more about outcomes:

https://brainly.com/question/251701

#SPJ1

Answer:

the correct ones are

2, Select a card from a set of cards with the letters A through D, then spin this  once.

5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

6, spin this and roll an 8-sided number cube with the digits 1 to 8.

Step-by-step explanation:

so basically both the colored wheel answers and the one with the coin and cube

plato 2022

In a certain family, the probability of having twins in 0.08 and the probability of having a single baby is 0.92.
What is the probability of a family having two sets of twins?

Answers

Answer: SE = √. pA(1 - pA). nA. +. pB(1 - pB). nB. = √. 0.08(0.92). 200. +. 0.344(0.656). 200. = 0.039. (b) The sample sizes of 200 are large enough

Step-by-step explanation:

2.2 Determine the general solution of 2.2.1 3 sin x = cos x
2.2.2 2 cos²x + 5 sin x = 4​

Answers

Step-by-step explanation:

try this solution, note, the answers are underlined with green colour.

The measure of an angle is 60 greater than the measure of its complement find the measure of each angle

Answers

Answer:

[tex] \\ \\ 90-60=30degree \\ \\ [/tex]

Answer:

15° and 75°

Step-by-step explanation:

The sum of the measures of complementary angles is 90.

Angle 1 measures x.

Angle 2 measures x + 60.

Their sum is 90.

x + x + 60 = 90

2x + 60 = 90

2x = 30

x = 15

x + 60 = 75

Answer: 15° and 75°

find x ...............

Answers

In the first circle, x is the radius and also the hypotenuse of a right triangle with legs measuring 9 and 12. So by the Pythagorean theorem,

x² = 9² + 12² = 225 = 15²  ⇒   x = 15

In the second circle, the chords AB and CD have the same length, and each of AP, BP, CP, and DP are radii of the circle and also have the same length. This means ∆ABP and ∆CDP are congruent, so the two labeled angles are also congruent, so x = 54.

what are the zeros of this function? f(x) = 3x^2 + 2x - 8

Answers

Answer:

4/3, -2

Step-by-step explanation:

4. (1) Solve forx: 13 11 3x+16 65 ​

Answers

Step-by-step explanation:

13113x+1665
_____________________________
Rewrite 13113 as 9 .  1457

Rewrite 1665 as 9 .  185
= 9 .  1457x + 9 .  185
=9(1457x + 185)

Select the statement that describes this expression: fraction 1 over 2 x (734 − 246).

Half the sum of 734 and 246
fraction 1 over 2 the difference between 734 and 246
fraction 1 over 2 the quotient of 734 and 246
2 times the difference between 734 and 246

Answers

fraction 1 over 2 the difference of 734 and 246.

Look at the diagram. Which angle is supplementary to A. B. C. D.

Answers

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

What is supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

Learn more about supplementary angle here:

https://brainly.com/question/1366738

#SPJ1

help will mark Brainliest!!​

Answers

Answer:

1/20

Step-by-step explanation:

1/4 = 0.25

0.25 / 5 = 0.05

0.05 as a fraction = 5/100

simplified

5 / 5 = 1

100 / 5 = 20

1/20

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is Choose... . Her uncle's actual age is Choose... .

Answers

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.​

Answers

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.

Option B is correct

Find the area of the figure.

Answers

Answer:

Area = 38 ft^2

Step-by-step explanation:

Divide two parts of a rectangle.

Big Rect: A = 10 ft * 3 ft = 30 ft^2

Small Rect: A = 2 ft * 4 ft =8 ft^2

Total Area = 30 + 8 = 38 ft^2

This is had can you help me

Answers

Answer:

#9 is 6 #10 is 1 #11 is 7 #12 is 6

Step-by-step explanation:

50 POINTS PLEASE HELP What is the volume of this prism???

Answers

Answer:

128

Step-by-step explanation:

multiply length, width, and hight.

[Not including the "triangle roof"] 128 in²

    V = L * W * H

    V = 8 in * 4 in * 4 in

    V = 128 in²

[Including the "triangle roof"] 176in²

    V = [tex]\frac{ L * W * H}{2}[/tex]

    V = [tex]\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}[/tex]

    V = [tex]\frac{96\;in^2}{2}[/tex]

    V = 48 in²

        -

    48 in² + 128 in² = 176in²

what transformation of figure 1 results and figure 2?

reflection
dialation
translation

Answers

I believe it’s A.Reflection because it’s the only one that would make since
Other Questions
What is the role of respect in the code of street? Which BEST explains why an artist would choose to use mixed media? a It is a new form of art that did not exist in previous eras. b It requires artists to have original and diverse ideas. c It is used by artists who have run out of one kind of material. d It expands the materials they can use to express their message. Read the excerpt from "the metamorphosis." from the room on the right the sister was whispering to inform gregor: "gregor, the manager is here." "i know," said gregor to himself. but he did not dare make his voice loud enough so that his sister could hear. "gregor," his father now said from the room on the left, "your manager has come and is asking why you have not left on the early train. we don't know what we should tell him. besides, he also wants to speak to you personally. so please open the door." what will most likely happen next in the story? gregors family will leave gregor alone. gregor will turn back into a person. gregor will have to leave his bedroom. no one will know gregor has changed. Select the correct answer from each drop-down menu.Read the excerpt. Then choose the correct way to complete the paragraphSojourner Truth challenges the claim that women are inferior to men by using bblical comples Truth uses the stories of Eve and the resurrection of LazarusTruth states that it Eve is blamed for bringing sin into the world, then women are more influential and stronger than men give the credit fory Truth goes on to thestate that the only reason Lazarus was resurrected, and Jesus came into the world was because of women. These biblical references were effective becausemany people during this time were conservative Christians and would be convicted by the beliefs and principles they Which of the following figures has a circumference that is closest to 121 inches?Aa circle with a diameter of 38.5 inchesBa circle with a diameter of 19.3 inchesCa circle with a radius of 38.5 inchesDa circle with a radius of 6.2 inches Who did the "Lost Generation" refer to? What is the area of this figure? 28cm 26cm 36cm 18cm Write a function named count_case that takes a string as an argument and returns the count of upper case and lower case characters in the string (in that order). Any characters that are not letters should be ignored. Choose the appropriate software category for each specific application shown.: Python: Microsoft PowerPoint: Windows 10 operating system What is the perimeter of ABDE? Find f(-3) for f(x) = 4(2)^x.. 1/8O B. -32O C. -24OD. 1/2 Please help meThink of a topic related to energy that you would like to research. In 3-5 sentences, describe how you would use search terms to effectively find information about the topic. Include the specific search terms you would use and explain how you would refine your search. (4 points) marking brainliestplease help!!!! What is improvisation? What is its role in jazz music? Which interaction helps stabilize the tertiary level of protein organization?. Compare and contrast how relocating and detaining the Japanese-Americans was similar to what happened to the Jews in Nazi Germany. A triangular prism that has a volume of 24 cubic inches is changed by a scale factor of 5. Find the volume of the dilated cube.A. 120B. 600C. 3000D. 3600 Determine the domain and the range of the relation, and tell whether the relation is a function.{(10,10), (26,6), (40,10), (10,1), (56,1)} I need help to find the blank spaces for the chart Distribute: 2(3x + 4)