What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second.

Answers

Answer 1

Answer:

1

Step-by-step explanation:

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?

3 consecutive angles

= x, x + 1, x + 2

We are told in the question that:

the sum of the first and third is equal to three times the second

a + c = 3b

x + x + 2 = 3(x + 1)

2x + 2 = 3x + 3

3x - 2x = 2 - 3

x = -1

The largest of the three numbers is the third number

= x + 2

x = -1

x + 2 = -1 + 2

The third and largest number is 1


Related Questions

What's the answer to x 3/4 * x 4/3

Answers

Answer:

3/4/7/x

Step-by-step explanation:

Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Read the accounts of the accident, and then answer the following questions 1. Why is the driver unhappy? According to the driver, what caused the accident? (4 points)

Answers

The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

What is stopping distance?

Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.

In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.

Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Read more on drivers here: https://brainly.com/question/26084890

3, 12, 22, 33, 45, 58, 72, ?

Answers

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

Find the equation of the line
Use exact numbers
In y=mx+b form

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3

A company makes cones out of solid foam. Each cone has a height of inches, and its base has a radius of inches. How much foam is needed to make cones? Use for , and do not round your answer.

Answers

Answer:

[tex]Amount = 55440in^3[/tex]

Step-by-step explanation:

Given [Missing piece]

[tex]h = 9in[/tex] --- height

[tex]r = 7in[/tex] --- radius

[tex]n = 120[/tex] --- number of cones

Required

How much foam for 120 cones

First, calculate the volume of 1 cone

[tex]V = \frac{1}{3}\pi r^2h[/tex]

[tex]V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9[/tex]

[tex]V = \frac{1}{3} * 22 * 7 * 9[/tex]

[tex]V = 22 * 7 * 3[/tex]

[tex]V = 462in^3[/tex]

So, the amount of foams needed for 120 is:

[tex]Amount = 120 * V[/tex]

[tex]Amount = 120 * 462in^3[/tex]

[tex]Amount = 55440in^3[/tex]

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Can someone help me with this please

Answers

Answer: No

Step-by-step explanation:

What we have to do is to substitute the values of x and y that we are given into the inequality:

x = 8

y = 7

y > 4x - 6

7 > 4(8) - 6

7 > 32 - 6

7 > 26

This is not true so it isn't a solution

Answer:

Answer and steps is in the picture.

Jerry grows two different types of oranges. He wants to know which type of oranges weighs more. he takes a random sample of oranges from each type of tree and creates the dotshown with their weights, and ounces. Based on these data., Which statement is true?

Answers

The answer is B (There is evidence that a Type BBB  orange typically weighs more than a Type AAA orange.) this is right on edulastic

Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90

Answers

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

Help me please I don’t know this

Answers

the answer is the number will have to be less than 11 which means that it is a. 9
sorry if it is incorrect.

What is the value of the expression below when x=3?
8x + 6
will mark Brainliest if answer is CORRECT​

Answers

Answer:

x=3

8*3+6=30

hope its right

Answer:

30

Step-by-step explanation:

So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once  x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.

If me and my husband want to save 75000 over the next 13 years and I make 25 dollars and hour and he makes 12 dollars an hour how do I write this in a word problem involving a system of equations

Answers

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

La probabilité d'un évènement A ne se réalise pas est 3/7 donc:
- P(A) = 3/7 - P(A) = 4/7
- P(A) = 4/10
- P(A) = 7/4 ​

Answers

Answer:

P(A) = 4/7.

Step-by-step explanation:

Probability it does not occur = 3/7 so probability it does is 1 - 3/7.

P(A) = 1 - 3/7 = 4/7.

6x - 3 + x = 18
I need help

Answers

Answer: x=3

Explain:
7x=21
21/7
Get you
3
So x equals 3
Where’s his comments ? 


 




































-48 my guy

Please help me with this question ​

Answers

the answer would be 18 soldiers!!

Pi is used when calculating which of the following

Answers

Answer:

Cicumference, area, diameter, and radius.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Fifty people went to see two different movies. Forty people saw Movie A and twenty people saw both Movie A and Movie B. How many people saw Movie B? PLEASE HELP

A. 10
B. 20
C. 30
D. 40
E. 50​

Answers

Answer:

5

Step-by-step explanation:

HELP ME FAST!!!!!!

Mark thinks he can calculate the measurement of angle 2 and 3 whereas Andy thinks you can only find the measurement of angles 2 and 3 if you knew the value of x. Who do you think is right and why? Support your answer with mathematical evidence including equations and angle relationships.

Answers

Answer:

2.3

Step-by-step explanation:

Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term: 25, 19, 13, 7

Answers

Answer:

[tex] \displaystyle \:a_n=- 6n + 31[/tex]

[tex] \displaystyle \:a_{52}= - 281[/tex]

Step-by-step explanation:

we are given some numbers

25,19,13,9

and said to figure out the sequence and 52 term

recall arithmetic sequence

[tex] \displaystyle \: a + (n - 1)d[/tex]

where a is the first term and d is the common difference

let's figure out d

[tex] \displaystyle \:d = 19 - 25 \\ d= - 6[/tex]

and a is 25

now we need to substitute the value of a and d and simplify to get our formula

substitute the value of a and d:

[tex] \displaystyle \: 25 + (n - 1) (- 6)[/tex]

distribute -6:

[tex] \displaystyle \: 25 + ( - 6n + 6)[/tex]

remove parentheses:

[tex] \displaystyle \: 25 - 6n + 6[/tex]

simplify addition:

[tex] \displaystyle \: - 6n + 31[/tex]

so our formula is -6n+31

remember here n means nth number term

we are said to figure out 52 number term

so

substitute the value of n:

[tex] \displaystyle \: - 6.52 + 31[/tex]

simplify multiplication:

[tex] \displaystyle \: - 312 + 31[/tex]

simplify addition:

[tex] \displaystyle \: - 281[/tex]

Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?



27,000 cubic centimeters because 30 x 30 x 30 = 27,000


54,000 cubic centimeters because 30 x 30 x 60 = 54,000


81,000 cubic centimeters because 30 x 30 x 30 + 30 x 30 x 60 = 81,000


48,600,000 cubic centimeters because 30 x 30 x 30 x 30 x 60 = 48,000,00

Answers

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

Find the slope of the line.

Answers

The slope of the line if we are talking about rise over run it’s 4/1

Answer:

4/1 is the answer

Step-by-step explanation:

hope this helps

confused plz help me <3

Answers

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

Given the isosceles trapezoid below, find AG.
Show all the work

Answers

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]

Isolate the y-variable in the equation 2x + y = 7.
Answer please like ASAP

Answers

Answer:

y=-2x+7

Step-by-step explanation:

You just subtract 2x from both sides to get y alone

Answer:

2x + y = 7

y = 7 -2x

Step-by-step explanation:

Please help ASAP !!!!!

Answers

Answer:

alright alright give us a second

27x to the 3rd power

In the figure shown, what is the measure of the indicated angle? ​ °

Answers

Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

HELPPPPP I NEED HELP ON THIS
An item is regularly priced at $85 it is on sale for 40% off the regular price how much in dollars is discounted from the regular price

Answers

Answer:

$51

Step-by-step explanation:

PLEASE HELP ASAP I WILL GIVE BRAINIEST AND LIKE IF CORRECT!!! This is my 3 time reposting.

The graph shows the amount of money you are saving for a computer.
what is the slope? interpret the slope of the line in the context of the problem.

Answers

slope: 1/40

tell me if i’m right

an mark obthe meatin by 9 students of class 6 in exam is 50 among them the mark obtain by 8 student are 60, 40, 50, 30, 80, 40, 45, and 40 what is the mark of remaining 1 student​

Answers

Answer: 65

Step-by-step explanation:

Since the mean mark of the 9 students is 50. Their total marks will be:

= 9 × 50

= 450

Since the marks obtained by 8 students are given, we add the marks together and this will be:

= 60+40+50+30+80+40+45+40

= 385

The score of the 9th student will be:

= 450 - 385

= 65

How do you write a linear equation that relates the height of a bunny hop to the weight of the bike. X is weight, y is height in inches. (19,10.2) (21,9.8) (23,9.4)

Answers

Answer:

y= -0.2x+14

Step-by-step explanation:

you have to do y2-y1/x2-x1 of any two coordinates or points so you could do 9.8-10.2/21-19 then you get -0.4/2 and that equals -0.2 so -0.2 is now ur slope or M. Next you pick any coordinate like (19,10.2) and you plug that into ur y=mx+b to find the b since you have found the m already from y2-y1/x2-x1. You could do 10.2= 19(-0.2)+b once you do the algebra to solve this you get 14 as your b or y intercept

Other Questions
Please solve Question 10 PLEASE HELP! The volume of a rectangular prism is 655.2ft. If the base of the prism is 9ft long and 5.2ft wide, what is the height of the prism? A baker deck decorates 42 cupcakes and 30 minute she decorated cupcakes at a constant rate how many cups cage the baker decorate pre-minute An item is regularly priced at $85 it is on sale for 40% off the regular price how much in dollars is discounted from the regular price ILL MARK BRAINLEST IF YOU HELP FAST Stanley Mills was hired by Clark at the beginning of 2002. Mills is expected to retire at the end of 2046 after 45 years of service. His retirement is expected to span 15 years. At the end of 2021, 20 years after being hired, his salary is $81,000. The companys actuary projects Millss salary to be $280,000 at retirement. The actuarys discount rate is 8%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Estimate the amount of Stanley Mills's annual retirement payments for the 15 retirement years earned as of the end of 2018. 2. Suppose Clark's pension plan permits a lump-sum payment at retirement in lieu of annuity payments. Determine the lump-sum equivalent as the present value as of the retirement date of annuity payments during the retirement period 3. What is the company's projected benefit obligation at the end of 2018 with respect to Stanley Mills? 4. Even though pension accounting centers on the PBO calculation, the ABO still must be disclosed in the pension disclosure note. What is the company's accumulated benefit obligation at the end of 2018 with respect to Stanley Mills? 5. If we assume no estimates change in the meantime, what is the company's projected benefit obligation at the end of 2019 with respect to Stanley Mills? 6. What portion of the 2019 increase in the PBO is attributable to 2019 service (the service cost component of pension expense) and to accrued interest (the interest cost component of pension expense)? (For all requirements, round final answers to the nearest whole dollars.) 1. Annual retirement payments $ 108,800 2. PV of retirement annuity $ 1,056,698 3. Projected benefit obligation 4. Accumulated benefit obligation 246.211 $ $ 65,400 5. Projected benefit obligation $ 274,032 6. Service cost Interest cost Definition of continental polar Hey this is really specific but can anyone answer this?How does Grunewald NOT create depth in "The Annunciation" from the Isenheim Altarpiece? 4.PART B: Which quote from paragraph 4 best supports the answer to Part A?A."the need for man to overcome oppression and violence" (Paragraph 4)B. "civilization and violence are antithetical concepts" (Paragraph 4)C."but a powerful moral force which makes for social transformation" (Paragraph4)D."sooner or later all the people of the world will have to discover a way to livetogether in peace" (Paragraph 4) I am doing a very important assignment PLEASE HELP!!Does self-image stay the same?Can others impact our self-image? How? (1-2 sentences)What if we tried something, but were not able to make it? What can we do for the next? (1-2 sentences)Is it ok making mistakes in our lives? And briefly explain why (1-2 sentences)What can we learn from achievement? (3-4 sentences)What can we learn from failure? (3-4 sentences) Was Truman's choice to use the bomb was justified? Exaplain why or why not support your answer with evidence. A missile is projected vertically up with a velocity of 50 m/s. What is the velocity at the highest point of projection?A) 50 m/sB) 25 m/sC) 5 m/sD) 0 m/s NO LINKS PLSS!!!Match the following people to the correct description.Robert E. Lee. _____________Ulysses S. Grant. _____________Albert Johnston. ______________George McClellan. _____________ I have too much rainfall in a short time period. My victims must be rescued from the top of houses and their property is in ruins. What am I? ordena de menor a mayor 13/10, 8/9, 6/7, 5/4, 2/3, 3/2, 2 is 3/4 proportional to 6/15 Choisis une carte postale reprsentant un monument paysage dcrit l'image en suivant l'ordre pour que le lecteur puisse se reprsentait avec exactitude ce que tu as dcrit Could someone solve the answer for me What was not true about British manufactured goods Which statement best describes the effect Martha's letter had on Lt. Jimmy Cross?A. They made him think about the day they got married. B. They distracted him from his responsibility for the lives of his men.C. They made him angry about the way she dumped him.D. They made him concentrate more on the dangers of the war. Why was the first law made, and why is it important?