-6x + 3x = -21 solving for variable

Answers

Answer 1

x= 7 is the answer

Combine like terms

-3x=21

Divide both sides by 3

x=7

Answer 2

Answer:

[tex]:\implies \sf -6x + 3x = -21 \\ \\ \\ [/tex]

[tex]:\implies \sf - 3x = -21\\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{-21}{ - 3} \\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{21}{3} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \textsf { \textbf{x = 7}}}} \\ [/tex]


Related Questions

how do you write 41/20 as a percentage?

Answers

Answer:

205%

Step-by-step explanation:

Percent means out of 100, so we want to get the denominator as 100

41/20 * 5/5

205/100

The percent is 205

205%

41/20 can be simplified to 20.5/10 although it is not necessary to do that. 20.5/10 can be written as 205%

x 12 = 6 10 give your answer as an improper fraction in its simplest form.

Answers

Answer:

41/6

Step-by-step explanation:

Take the root of both sides and solve.

someone help please
the options are
1. y = 2x + 4
2. y = 1/2 x + 4
3. y = -1/2x + 4
4. y = -2x + 4

Answers

Answer:

2. y = 1/2x + 4

Step-by-step explanation:

This is the only equation that moves in a positive slope the way the graph shows it, hope this helps.

PLZ HELP
In this project, you will be designing three graphs based on information given to you in tables. You must organize the information into graphs and make them clear and understandable. There are two sections included in this assignment. The first section provides instruction for designing three graphs using paper and pencil. The second section is provided with instruction for designing the three graphs using the Microsoft© Excel© application. You only need to do one or the other. The advantage of using the Excel application is that you will have electronic copies that may be sent using the upload button provided in the first section. It also provides practice using technology in a practical way.
For help on the graphs, go back and read the section in your lesson on graphing. The second section provides tutorials that will be very helpful in designing your graphs.

Answers

Answer:When planning your writing, it is important to consider the best way to communicate information to your audience, especially if you plan to use data in the form of numbers, words, or images that will help you construct and support your argument.  Generally speaking, data summaries may take the form of text, tables or figures. Most writers are familiar with textual data summaries and this is often the best way to communicate simple results. A good rule of thumb is to see if you can present your results clearly in a sentence or two. If so, a table or figure is probably unnecessary. If your data are too numerous or complicated to be described adequately in this amount of space, figures and tables can be effective ways of conveying lots of information without cluttering up your text. Additionally, they serve as quick references for your reader and can reveal trends, patterns, or relationships that might otherwise be difficult to grasp.

So what’s the difference between a table and a figure anyway?

Tables present lists of numbers or text in columns and can be used to synthesize existing literature, to explain variables, or to present the wording of survey questions. They are also used to make a paper or article more readable by removing numeric or listed data from the text. Tables are typically used to present raw data, not when you want to show a relationship between variables.

Figures are visual presentations of results. They come in the form of graphs, charts, drawings, photos, or maps.  Figures provide visual impact and can effectively communicate your primary finding. Traditionally, they are used to display trends and patterns of relationship, but they can also be used to communicate processes or display complicated data simply.  Figures should not duplicate the same information found in tables and vice versa.

Using tables

Tables are easily constructed using your word processor’s table function or a spread sheet program such as Excel. Elements of a table include the Legend or Title, Column Titles, and the Table Body (quantitative or qualitative data). They may also include subheadings and footnotes. Remember that it is just as important to think about the organization of tables as it is to think about the organization of paragraphs. A well-organized table allows readers to grasp the meaning of the data presented with ease, while a disorganized one will leave the reader confused about the data itself, or the significance of the data.

Title: Tables are headed by a number followed by a clear, descriptive title or caption. Conventions regarding title length and content vary by discipline. In the hard sciences, a lengthy explanation of table contents may be acceptable. In other disciplines, titles should be descriptive but short, and any explanation or interpretation of data should take place in the text. Be sure to look up examples from published papers within your discipline that you can use as a model. It may also help to think of the title as the “topic sentence” of the table—it tells the reader what the table is about and how it’s organized. Tables are read from the top down, so titles go above the body of the table and are left-justified.

Column titles: The goal of column headings is to simplify and clarify the table, allowing the reader to understand the components of the table quickly. Therefore, column titles should be brief and descriptive and should include units of analysis.

Table body: This is where your data are located, whether they are numerical or textual. Again, organize your table in a way that helps the reader understand the significance of the data. Be sure to think about what you want your readers to compare, and put that information in the column (up and down) rather than in the row (across). In other words, construct your table so that like elements read down, not across. When using numerical data with decimals, make sure that the decimal points line up. Whole numbers should line up on the right.

Other table elements

Tables should be labeled with a number preceding the table title; tables and figures are labeled independently of one another. Tables should also have lines demarcating different parts of the table (title, column headers, data, and footnotes if present). Gridlines or boxes should not be included in printed versions. Tables may or may not include other elements, such as subheadings or footnotes.

Quick reference for tables

Tables should be:

Centered on the page.

Numbered in the order they appear in the text.

Referenced in the order they appear in the text.

Labeled with the table number and descriptive title above the table.

Labeled with column a

Step-by-step explanation:

Can someone please help me asap??? I’ll mark brainlist !!!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

The sum of two numbers is 25. The larger number is four times the smaller number. Find the numbers.

Answers

Answer:

5+20=25

Step-by-step explanation:

ok so 20/4 is 5 and 20 +5=25

so the only possible answer is 5+20=25

Hope this helps please give brainliest

Help plz!!!!!!!!!!!!!!!!!

Answers

w=5 because 5-3=2 so 5 would happen to be w

Answer:

5

Step-by-step explanation:

w-3=-2

first you need to figure out what w stands for

I just started plugging in numbers starting from 1 and when I got to 5 the number fit.

In triangle ABC, angleACB is a right angle

Answers

Answer:

I think is 11.4

.........

When a question asks you to "Explain", what are you expected to do
AND

Answers

Answer:

they want to tell you why the answer is what it is

Step-by-step explanation:

Answer:

They are asking you "how" you managed to get your answer

Step-by-step explanation:

say the question is 5×5=25 and the question say Explain;"well if you add 5+5+5+5+5 is equals 25"

To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?

Group of answer choices

Answers

The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

It is 25 because you divide 100 by 4

I need help with this is anyone

Answers

Answer:

-w+41

Step-by-step explanation:

5(w+4)-3(2w-7)

5w+20-6w+21

-w+41

Please, Please help me

One number is 7 times a first number. A third number is 100 more than the first number If the sum of the three numbers is 865, find the numbers.

Answers

I believe the answer is 85

On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita’s paddling speed in still water and the speed of the river’s current

Answers

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

-10w + 12 = -9w + 13
What value of w makes the equation true?

Answers

w=-15 I hope this helped.

I don't get this...​

Answers

Answer: The answer is D. 17.9

Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.

I hope this helps have a great day!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you should remember that....

[tex]a^{2} +b^{2} =c^{2}[/tex]

then you should plug in...

[tex]8^{2}+16^{2}[/tex]

that should equal...

[tex]c^{2}=320[/tex]

Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...

[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]

[tex]c=17.88854382...[/tex]

Then you have to round it to the nearest tenths, which'll give you...

[tex]17.9[/tex]

choice D

You have 80 feet of fencing to keep your dogs enclosed.
The length must be twice the width. What should the
width be?(please help due tonight and show work!)

Answers

Answer:

Twice something means multiply by 2 , you have 80 feet of fencing all together so half of 80 is 40 . Then take 40 and times it by 2 . which comes out to 80 .

(Just copy and Paste)

Step-by-step explanation:

What is the length of each leg of the triangle below?
A. Square root of 11
B. Square root of 22
C. 1
D. Square root of 11 and 2
E. 11
F. 15

Answers

A. square root of 11 is it

The required length of the legs of triangle is 11√2. Option D is correct.

From figure
Hypotenuse = 22
Angles of leg = 45°

What are triangles?

The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.

Let the length of the legs be x

sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2

Thus, the required length of the legs of triangle is 11√2.

Get more information about triangles here:
https://brainly.com/question/2773823

#SPJ2

The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip of 20% on the pre-tax cost. How much tax do you pay? How much of a tip should you leave? What is the total cost of your meal, after tax and tip?

Answers

Answer: See explanation

Step-by-step explanation:

Price of sandwich = $6

Food tax = 5% of $6

= 0.05 × $6

= $0.3

Tip = 20% of $6

= 0.2 × $6

= $1.2

Total cost of meal:

= $6 + $0.3 + $1.2

= $7.5

Answer: 1: $0.30 2: $1.20 3: $7.50

Step-by-step explanation:

Car Survey In a survey of 3,200 people who owned a certain type of car, 1,120 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?


Answers

Answer:

Step-by-step explanation:

what is the slope (m) and the y-intercept (b) for y = 4x -8 *

Answers

y=-4x-8

To find x-intercept / zero , substitute y=0

0=4x-8

Move Variable to the left-hand side and change its sign

-4x=-8

Divide both sides of the equation by -4

Answer: x=2


Which description matches DIAGRAM A?
A An increase by 2/3
B An increase by 5/6
C A decrease by 2/5
D A decrease by 5/11

Answers

the answer is d a decrease by 5/11

When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.

Answers

Answer:

$308 - 14r

Number of weeks = 22 weeks

Step-by-step explanation:

Given that:

Amount kept in bank = $308; which should be withdrawn weekly at $14 per week

Total amount in bank - weekly withdrawal * number rof weeks

Let number of weeks = r

$308 - 14r

When will the money run out

$308 - 14r = 0

-14r = - 308

Divide through by 14

14r/13 = 308/14

r = 22

Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.

I need help with step 3

Answers

[tex]f(x) = ( \frac{1}{4} ) {}^{x} [/tex]

[tex]f(0) = ( \frac{1}{4} ) {}^{0} [/tex]

[tex]f(0) = 1[/tex]

[tex]f(1) = ( \frac{1}{4} ) {}^{1} [/tex]

[tex]f(1) = \frac{1}{4} [/tex]

[tex]f(2) = ( \frac{1}{4} ) {}^{2} [/tex]

[tex]f(2) = \frac{1}{16} [/tex]

#IfWrongPleaseReport

on Monday a restaurant made $545 from selling 110 hamburgers if they sold 53 Hamburgers on Tuesday how much did they make ​

Answers

Answer:

$262.59

Step-by-step explanation:

545 / 110 = 4.95454545455

4.95454545455 x 53 = 262.590909091

Rounded = $262.59

11 is what percent of 41?

Answers

The answer is 26.82 !!! Hope that helps

For lunch, students may choose one pasta () or chicken (G, The side choices are salad (5) or fruit (1) drink, ane entree, and one side. The drink choices are milk (M) or juice ). The entrée choices are which table shows al of the possible hunch combinations 7 Drink Entire side P OA Drink Entrée p P с Drink Entire P P M Side 5 Lunch Combination Ос 2 4. B. 1 Drink Entire Side N 5 P. C Lunch Combination 2 1 2 Side F Lunch Combination 5 7 с P P с Lunch Combination

Answers

Answer:

Step-by-step explanation: :) answer b

Answer:

The answer is D

Step-by-step explanation:it shows all 8 possible combinations

Can you make a triangle with the side lengths, 3, 8, 8?

Answers

Answer:

yes of course you can make a triangle

Answer:

No

Step-by-step explanation:

A triangle has ALL equal sides but since it's 3,8,8 you can't because not all side are equal

3.46x + 6.38 = -4 the answer

Answers

Answer:

x = -3

Step-by-step explanation:

start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.

   

If y° and 150° form a linear pair , then y° ?​

Answers

Answer:

Y=30

Step-by-step explanation:

we know that Y+150=180 as it is a linear pair

so, Y= 108-150

which will be 30

Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share Four-fifths of a pizza.

Which statement best explains why Teagan is correct or incorrect?


Teagan is correct in using a division expression because Four-fifths is less than 1.


Teagan is correct in using a division expression because the question is about splitting a value into equal parts.


Teagan is incorrect in using a division expression because the term "of" in a math problem implies multiplication.


Teagan is incorrect in using a division expression because the total amount of pizza eaten is unknown.

Answers

Answer:

Option (b)

Step-by-step explanation:

It is given that,

Total no of friends are 6

The share of each friend is 4/5

Pizza eaten by each friend is equal to the total pizza eaten divided by total no of friends. It can be given by :

[tex]=\dfrac{\dfrac{4}{5}}{6}\\\\=\dfrac{4}{5}\times \dfrac{1}{6}\\\\=\dfrac{2}{15}[/tex]

It means that Teagan is correct in using a division expression because the question is about splitting a value into equal parts.  Hence, the correct option is (b).

Answer:

b

Step-by-step explanation:

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Lina Martinez wants to buy a new high-end audio system for her car. The system is being sold by two dealers in town, both of whom sell the equipment for the same price of $2,000. Lina can buy the equipment from Dealer A, with no money down, by making payments of $118.28 a month for 18 months; she can buy the same equipment from Dealer B by making 36 monthly payments of $70.31 (again, with no money down). Lina is considering purchasing the system from Dealer B because of the lower payment.Find the APR for Dealer A. Use the financial calculator and Find the APR for Dealer B order 2, 2, 0.8Please help ASAP A car starts from rest and accelerates uniformly over a time of 7.31 seconds for a distance of 160 m. Determine the acceleration of the car. help!!!!!!!!!!!!!!!!!! Para la clase de educacin fsica, voy al... En su niez, Jons ________. No le gustaba hablar. era callado era obediente era chistoso era fuerte a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent? The study of the land nd how we use it 3 . Relationship between tax revenues, deadweight loss, and demandelasticityThe government is considering levying a tax of $60 per unit on suppliers of either concert tickets or bus passes. The supply curve for each of these two goods is identical, as you can see on each of the following graphs. The demand for concert tickets is shown by DC (on the first graph), and the demand for bus passes is shown by DB (on the second graph).Suppose the government taxes concert tickets. The following graph shows the annual supply and demand for this good. It also shows the supply curve ( S+Tax ) shifted up by the amount of the proposed tax ($60 per ticket).On the following graph, use the green rectangle (triangle symbols) to shade the area that represents tax revenue for concert tickets. Then use the black triangle (plus symbols) to shade the area that represents the deadweight loss associated with the tax. *How do we know that a piece of evidence is "good"?*What should we be able to do if we're going to use that evidence? Please I need your help guys anybody What is a substrate? A)the difference between a chemical reaction and an enzyme B)the place where an enzyme attaches itself C)It is a sticky molecule. D)the molecules that the enzyme sticks to in a chemical reaction E)a molecule that releases the energy in a chemical reaction Settlers took law and order into their own hands ? True or false Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 500 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error. a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500. b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500. c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500. d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500. What is an example of cultural change due to cultural adoption?A. Implementing the food of another culture into one's dietB. Using an automobile to go on a dateC. Gaining for women the right to voteD. Treating other cultures as inferior ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST Which historical event or events in Pre-Revolutionary America do you think the author referring to when he writes in lines 3 and 4: "...Then tell me whether you can hereafter love, honour, and faithfully serve the power that has carried fire and sword into your land?" A black object appears black because it reflects all light , and does not absorb any light. True or False 1.2.1 PLTW BIOMEDICAL SCIENCES / HELP ASAP PLZ / WILL MARK BRAINLIESTHow do you think an autopsy can help you confirm or refute your conclusions about your hypothesis from Lesson 1.1? A student is on a skateboard facing a wall. The student and skateboard have a mass of 75 kilograms. The student pushes off of the wall with a force of 100 Newtons. What is the force of the wall pushing back on the student? What is the acceleration of the student as she moves away from the wall?