find three consecutive numbers such that three times the first number is equal to 9 more than the sum of the other two.

Answers

Answer 1

Answer:

12, 13, 14

Step-by-step explanation:

Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than  n (which is n+1) and the third number is one more than that (which is n+2)

So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )

3 times n can be written as 3n

So 3n = 9 + (n+1) + (n+2)

3n = 9 + n + 1 + n + 2

3n = 9 + 1 + 2 + n + n

3n = 12 + 2n

Subtract 2n from each side

3n - 2n = 12 + 2n - 2n

1n = 12

n = 12

So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)

The numbers are 12, 13, 14

Hope this helps :)


Related Questions

-5x - 18 = 2 solve the answer for x

Answers

The answer is X= -4 to your question

Answer:

-4

Step-by-step explanation:

Solving for x

-5x - 18 = 2-5x = 2 + 18-5x = 20x = -20/5x = -4

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated in quadrant 1? Why?

A. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of angles are congruent

B. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of angles are congruent

C. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of sides and corresponding pairs of angles are congruent

D. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of sides and corresponding Pairs of angles are congruent

Answers

Answer: C. Explanation: congruent triangles must have both equal angles and equal sides. The triangles with vertices at (-5, -5), (-3, -1), and (-3, -5) has the same proportions as the parent triangle, making them congruent.

PLEASE HELP

What would be the title of this chart?​

Answers

Answer:

students per pizza topping

Step-by-step explanation:

cuz it's telling u how many students want each topping

what is the slope or yhe line yoing through (-2,-1) (1,2)

Answers

Answer:

Slope: 1

Step-by-step explanation:

You can find the slope by doing change in y/change in x.

Change in y is 3

Change in x is 3

So 3/3 is 1, and the slope is 1

For his art project, Dorian is using square tiles of different sizes and colors to make a mosaic. The first three tiles are: 1. A = 5 cm2 2. A = 7 cm2 3. A = 9 cm2


which tile's side lengths will Dorian need to estimate?

Answers

Answer:

3cm²

Step-by-step explanation:

Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square

Area of a square = L²

L is the side length of the tiles

For the tiles with area 7cm²

7 =  L²

L² = 7

L = √7

L = 2.65cm

For tiles with area 5cm²

5 =  L²

L² = 5

L = √5

L = 2.24cm

For tiles with area 9cm²

9 =  L²

L² = 9

L = √9

L = 3.0cm

Since for all the square tiles the length of the tile is ≤ 3 cm, then the  tile's side lengths that Dorian will need to estimate is approximately 3cm

4(3x-8)-4 = 24
12x-32-4= 24
12x-36 = 24
12x = 60
X=5
What methods did she use and in what order did she use them?

Answers

Answer:

C

Step-by-step explanation:

How much is -1/4 of 1 1/3?

A. -1/3
B. 3/16
C. 1 1/12
D. -5 1/3

Answers

Answer:

-0.33333333333 or A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

QUESTION 5, Saturday, October 10th, 2020

I have some geometry questions today. Please include your thoughts or reasoning with your answer. Please ignore the answer I selected for it was not an purpose. Thanks!

Answers

Answer:

HL

Step-by-step explanation:

This is a hypotenuse and leg

Hypotenuse is congruent and one leg is common

The answer is HL

The sum of 3 consecutive odd integers is 36. Whal
consecutive odd integers

Answers

[tex]\huge\pink{Answer}[/tex]

Any odd number can be represented with 2n+1 where n is a whole number. Also, since the next consecutive number will be even (2n+1+1), then the next consecutive odd number must be 2n+1+2, or 2n+3. Since consecutive odd numbers are separated by 2, then the previous odd number should be 2n-1. So:

2n-1+2n+1+2n+3=366n+3=366n+3-3=36-36n/3=33/32n=11

Now in order to find three odd consecutive numbers that will sum to 36, you must be able to divide 11 evenly by 2, and have a whole number as a result. This is impossible, so there aren't any 3 odd numbers that will sum to 36.

HOPE IT HELPS ☺️

How many terms are in the expression 1 over 6x - 18y + 9z - 2 =

Answers

Answer:

I believe there are four terms in this expression.

please help me with these questions
will give the brainliest
Urgent
plz answer correctly
help!!!!!!!!!!
need explanation​

Answers

Answer:
9: 1/36 chance of getting the same number on both dice
10: a) 5 b) 4/25

Explanation:
9: a die has 6 sides with each number. So the chance of getting a number on a dice once is 1/6. The second dice is the same with 1/6 chance. But to have them both be the same number means you have to multiply the probability. (1/6)/(1/6)=1/36

10:
a) 1/4 of the discs are blue, meaning you have multiply 1/4 by 20 which equals 5
b) the probability of getting a red is 12/20. So the probability of not getting red is 8/20. But both simultaneously, would mean for multiplying them. 8/20 •8/20=64/400 Then simplified to 4/50.

*im not super sure about 10 b. Sorry :/

Which equations have the variable term isolated to one side of the = and the constant isolated to the other side free equation 1/5 X +1/3 equals -1/2 X +8/3 what select all that apply

Answers

Answer:

2 and 3

Step-by-step explanation:

Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost
and he plans to save $5 per week. Define all unknown variables. Write an equation modeling the total
amount he has saved.

Answers

Answer:

65-35=30

30 divided by 5 = 6

Step-by-step explanation:

First you have to subtract 65-35, which equals 30.

Then the problem says he plans to save 5 each week. That means he should get his lego set in 6 weeks, because 30 divided by 5 = 6

65-35=30

30 divided by 5 = 6

Jonathan went for a jog every time he stops to tie his shoelaces, his jog last. 2 1/2 minutes longer . if he stops to tie his shoelaces four times how much longer does his jog take?​

Answers

Answer:

10 minutes longer

Step-by-step explanation:

2 1/2 (or 2.5) times 4 equals 10.

What's the circumference of a circle with a diameter of 9 inches?​

Answers

Answer:

9pi

Step-by-step explanation:

circumference= 2 (pi) (r)

radius = diameter \ 2

r = 9 \ 2 = 4.5in.

c = 2 (pi) (4.5)

c = 9pi or 28.3in.

Hope this helps!

Anybody pls help me. Plus, working. Thank you ​

Answers

I hope my answer can help you.

2x - 6
x + 1
Find the value of x

Answers

i think x=7 but i’m not exactly sure

A line has an x-intercept of 2 and a y-intercept of 6. Find the slope of the line.

A. -3
B. 3
C. 1/3
D. -1/3​

Answers

9514 1404 393

Answer:

  A.  -3

Step-by-step explanation:

The line goes down 6 units for a run of 2 units to the right. The slope is ...

  slope = rise/run = -6/2

  slope = -3

Which pair of numbers has a GCF of 6?

a.) 2 and 12
b.)8 and 24
c.)12 and 18
d.)1 and 6

Answers

c) 12and 18
...............
The answer is D because

W= L A ​ solve for a

Answers

Answer:

A = W/L

Step-by-step explanation:

what is the result of (4³)² × (¼)²​

Answers

Answer:

256

Step-by-step explanation:

By using power of a power rule, the result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

What are exponential formulas?

Exponents formulas refer to the formulas that help solve exponents. Exponent of a number is represented in the form: [tex]x^{n}[/tex], meaning x is multiplied by itself for n times. Here,

x is called the "base"

n is called the "exponent" or "power"

[tex]x^{n}[/tex] is read as "x to the power of n" (or) "x raised to n"

Power of a power rule :  [tex](a^{m} )^{n}=a^{mn}[/tex]

Given exponential expression

[tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

[tex](4^{3} )^{2}[/tex] is in the form of power of a power rule [tex](a^{m} )^{n}=a^{mn}[/tex]

= [tex]4^{6}[/tex] × [tex]\frac{1}{4^{2} }[/tex]

= [tex]4^{4}[/tex] × [tex]4^{2}[/tex] × [tex]\frac{1}{4^{2} }[/tex]

= [tex]4^{4}[/tex]

= 256

The result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

Find out more information exponential formulas here

https://brainly.com/question/23418174

#SPJ3

Find x so that l is parallel to m.

Answers

Answer:

Step-by-step explanation:

(10x + 17)° = 87° + 5x° (This is because of the rule of corresponding angles)

=> 10x° = 87° + 5x° - 17°

=> (10x - 5x)° = 87° - 17°

=> 5x° = 70°

=> x° = ( 70/5 )°

=> x° = 14°

Therefore x = 14°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Do you have a babysitting job that pays 8.50an hour your total pay for this week was 136 right and solve an equation to find the number of hours I babysat this week

Answers

Answer:

gfdhzhjdzg

Step-by-step explanation:

fjrfyijyfj

NUMBER 4!!!!!!! if m∠JKP= 67°, find m∠NKO

Answers

Answer:

Step-by-step explanation:

I have some sympathy for the way the questions have been set up and numbered.

The givens are that the two lines that look like they are perpendicular, are perpendicular.

<JKP = 67                    Given

<PKL = 180 - 67          < PKL is supplementary to <JKP

<PKL = 113

<PKM = 113 - 90 = 23

Here's what you want to know. <NKO = PKM because they are vertically opposite angles.

Therefore NKO = 23 degrees.

JL is perpendicular to MN, then

m ∠NKO= 23°

Given :

JL is perpendicular to MN and the m∠JKP= 67°

we need to find out m∠NKO

we know that JL is perpendicular to MN.  so, <JKN makes an right angle .

m ∠JKN = 90°

PO is a straight line . It makes an angle 180 degree

m ∠JKP +m ∠JKN +m ∠NKO =180

[tex]67+90+m<NKO=180\\m<NKO=180-90-67\\m<NKO=23[/tex]

m ∠NKO= 23°

Learn more :  brainly.com/question/17313084

Find the x-coordinate of Q' after Q(-2.5) was reflected over the line y = -x + 4.

Answers

Answer:

Q' would be (5, 6)

The basketball team lost their last 12 games. They lost by a total of 384 points. Determine their average number of points they lost each game.

Answers

Answer:

32

Step-by-step explanation:

384 divided by 12 is 32

If A = lw, find the width of a rectangle with a length of 30 miles and an area of 210 square miles.
O 70 miles
7 miles
o miles
6300 miles
10
11
12

Answers

Answer:

Yes and no nor

Step-by-step explanation:

solve 2 - v = - (v - 2)

Answers

Answer:

All real numbers

Step-by-step explanation:

Answer:

0=0

Step-by-step explanation:

2-v=-(v-2)

2-v=-v+2

-v+v=2-2

0=0

a + 65 = 92
please help​

Answers

Answer:

a=27

Step-by-step explanation:

Answer:

a = 27

Step-by-step explanation:

a + 65 = 92

subtract 65 from both sides

a = 27

Solve for .
Enter the solutions from least to greatest.
-x^2-8= -33
lesser x =
greater r =

Answers

Answer:

x = -5, or x = 5

Step-by-step explanation:

First, add both sides by 8: -x^2 = -25

Then, multiply both sides by -1: x^2 = 25

Lastly, take the square root of both sides: x = -5, or x = 5

Answer:

lesser -5

greater 5

Step-by-step explanation:

khan academy

Other Questions
What is a special type of variable used in subroutines that refers to a piece of data?a parametera constanta functiona routine Is this function? Please help On the surface of the earth the weight of an object is 200 lb. Determine the height of theobject above the surface of the earth, in miles, for the object to register a weight of 125pounds. Someone help please Nights and DragonsFrom the memoir of author Abigail Prynne1I sit at my desk listening to thunder growl outside my window. Flashes of light burst through the darkness, and wind races past my window. The thrilling combination of sight and sound conjures up visions of dragons roaring proudly, breathing fire, and soaring across the midnight sky. Dragons first fascinated me when I was a little girl. They have followed me ever since. The magnificent creatures appeared in storybooks I read in the library, paintings I saw in museums, movies I watched in the theater, and the dreams I had in my sleep. By the time I was thirteen, one question consumed me. I wanted to know if dragons ever existed, so I set out on a quest for facts.2As I started my research, I discovered many skeptics. Scientists presented evidence to show why dragons could notand did notexist. They explained that it would be impossible for dragons to fly because they would be too big. They laughed at the idea of dragons breathing fire. They pointed out that no other animal has ever done this. They said that if dragons had lived, someone would have found remains somewhere in the world. No bones about it, there were plenty of logical explanations. It would have been easy for me to accept that the only place dragons ever existed was in the imaginations of those who believed.3I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed.4With renewed hope that there was some truth to the legends, I looked for new research. I found that some experts disagreed with popular arguments against dragons. They suggested that a dragon could have four stomachs like a cow. If it created stomach gases like birds, it might create enough to lift itself off the ground. This would give it the ability to fly. If it forced out air when diving toward the earth, it might release gases which could ignite into flame. When the animal died, the stomachs would release strong acids that would dissolve its dead body over time. Biologists backed up these ideas with sketches and models based on known animals. Not everyone agreed with these ideas, but many of the things we accept about dinosaurs and other extinct species started the same way.5I doubt we will ever truly know whether dragons existed. There may always be two sides to the fiery debate. Some will say the stories come from active imaginations. Some will believe with all their hearts that the legendary creatures roamed our ancient world. I don't know for certain which side to believe, but the sound and fury of a night like this makes me smile. It rekindles my childhood dreams and keeps the exciting possibility alive.In paragraph 5, the author discusses two sides to the dragon debate. Which statement best summarizes the ideas in the paragraph?1) The author implicitly states that she believes that dragons once existed.2) The author explicitly states that she believes that dragons once existed.3) The author implicitly states that she believes that dragons did not exist.4) The author explicitly states that she believes that dragons did not exist.Please I need to know asap! what is the foreshadow in the story the monkeys paw A theater charges $45 for each general admission ticket and $25 for each same-day ticket. If Dan spent $485 on 13 tickets, how much money did he spend on same-daytickets?$225$200$125O $75 i am involved in the immune system ?A( CarbohydrateB( LipidC( ProteinD( Nucleic Acid What is the missing term in the factorization?12x^2 - 75 = 3( 2x+__ )( 2x - 5 )Enter your answer in the box. Help me !!!!!!!!!!!!!!!!! You get a new job that pays a base salary of $45,000 per year and you earn a commission of $250 per unit sold. How many units would you need to sell to make $90,000 in a year. Whats the answer???? In the equation 3j = 75 + 9, what is the next step in the equation solving sequence? what could i write as my thesis statement if my topic is about how technology causes depression? my main parts are going to be like girls comparing themselves, bullies, etc Write a two-to three-sentence objective summary based on the information in thepassage below.Students twirling in synchronized rhythm on the dance floor. Multicoloredpaints splattered on a canvas. Aside from allowing students to express theircreativity, arts education is beneficial for them. Studying music, dance, orpainting in school can increase learning in other core subjects and canimprove math and reading skills. Arts education also allows students topractice working together, which raises their self-esteem and helps developcritical thinking and leadership skills. Whether it's learning to play the jazztrombone or painting the next Mona Lisa, the benefits extend far beyond theworld of art. On Saturday morning, the shopping center buzzed with activity as people went in and out of stores.Which change would make the sentence more specific?A.replacing shopping with ice skatingB.replacing went with dashedC.replacing Saturday with WednesdayA.replacing buzzed with filled find surface area please can someone help me with the following question in the picture please what motivated Turkish people to expand so far from their original homeland, and why were they so successful in creating new states? What role did Toponce play that day atPromontory Summit?