Given three consecutive integers, if the sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer. Find the three consecutive integers. *

Answers

Answer 1

Answer:

The three consecutive integers are 12, 13 & 14

Explanation:

Let the three consecutive integers be x, x + 1, x + 2

According to the question,

If sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer.

[tex] \therefore [/tex] x + x + 2 + 8 = (x + 1) × 3 - 5

2x + 10 = 3x + 3 - 5

2x + 10 = 3x - 2

10 + 2 = 3x - 2x

x = 12

So, The three consecutive integers are 12, 13 & 14


Related Questions

A spherical balloon is inflating with helium at a rate of. How fast is the​ balloon's radius increasing at the instant the radius is ​ft? how fast is the surface area​ increasing?.

Answers

Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:

The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

For this problem:

Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]

Then:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]

[tex]\frac{dr}{dt} = 0.6366[/tex]

The radius is increasing at a rate of 0.6366 feet per minute.

The surface area is:

[tex]S = 4\pi r^2[/tex]

Hence, the rate of change is:

[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]

Hence:

[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]

The surface area is changing at a rate of 80 feet squared per minute.

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What detail of the myth is suggested in the poem but not in the painting? What connection between the painting's landscape and the myth does this detail convey?.

Answers

The myth shows the moment when the sun melts the wings of Icarus, while the painting does not present this moment. This detail shows that nature contributes to the death of Icarus.

We can arrive at this answer because:

The painting shows only the death of Icarus, showing the moment when he fell into the water and drowned.The purpose of the painting is to show how the universe and all other human beings remained indifferent to Icarus' death.Although the myth also features the death of Icarus, it sets out in more detail.The myth shows why Icarus wanted to use the waxwings and why these wings melted.

The myth focuses on nature's action on the death of Icarus, while the painting reinforces the universe's indifference to this death.

This question is about “Landscape of the Fall of Icarus.”

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Answer:

B & C

Explanation:

Y E S

You enter a room 2 dogs 4 horses.

Answers

(2+4=6) supercalifragilisticexpialidocious

Which of the following theorems cannot be used to prove two lines are parallel?.

Answers

How are we supposed to answer this question without the theorems mentioned in the question????

How does the author unfold the details of the text painter of light.

Answers

The author unfolds the details of the "Painter of Light" text when presenting Kinkade's life chronology.

We can arrive at this answer because:

"Painter of Light" is a text with a chronological structure, which presents a series of events that occurred in a timeline.In this text, this kind of structure is used for Kinkade's life chronology, showing the most important events in his life and how that made him relevant to introduce to readers.

It is important to point out that textual structure is the way a text is organized to present information to the reader.

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Answer: The answer is A

Explanation:

Which phrase does not describe ocean water near the equator?

A. High temperature

B. Low light

C. Low salinity

D. Low density

Answers

Answer:

B. Low Light

Explanation:

Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3).

Answers

I think the y intercepts would be -9 and -3

Hope this helps ;)

We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of +/-0. 06 at 95% confidence?.

Answers

Using the appropriate sample size formula, the minimum number of samples required is 267

Using the relation :

N = [(Z² × pq) / e²] e = Error Margin = 0.06² = 0.0036p = 0.5 q = 1 - 0.5 = 0.5 Zcritical at 95% = 1.96

Substituting the values into the equation :

N = [(1.96² × (0.5 × 0.5)) / 0.0036]

N = (0.9604 / 0.0036)

N = 266.777

N = 267

Hence, the minimum number of samples required is 267

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Solve the inequality x + 3 < 7. Which number line represents the solution?.

Answers

Answer:

Open circle; Everything below 3

Answer:

Open Circle, everything below 4

Explanation:

x+3<7 - subtract 3 from both sides

x<4

Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his options for learning this trade? select all that apply.

Answers

To be a licensed electrician requires deep knowledge of the field. Rami's  options for learning this trade are;

He should applied degree at a two year college or He can study for a bachelor's degree at a four year collegeApprenticeship and trade school

A licensed electrician job is not easy to obtain. It requires studying, years of being an apprentice or attending school, and years of  work experience.

To be a licensed electrician, these steps should be followed:

Earn a high school diploma or Its equivalent. Try and attend a trade or vocational-technical school. Sign up as an electrician apprentice.   Get licensed or certified.

See full question blow

Rami is graduating high school in the spring. He is interested in becoming a electrician. What are his option  learning this trade? Select all that apply.

applied degree at a two year college bachelor's degree at a four year college vocational training in the military apprenticeship and trade school going directly into the workplace

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Answer: 1) applied degree at a two year college

3) Vocational training in the military

4) apprenticeship and trade school

Explanation: did on edge :)

On january 1, 2019, a company issued $400,000 of 10-year, 12% bonds. The interest is payable semi-annually on june 30 and december 31. The issue price was $413,153 based on a 10% market interest rate. The effective-interest method of amortization is used. What is the book value (carrying value) of the bond liability as of june 30, 2019 (to the nearest dollar)?.

Answers

The book value of the bond liability is $409811

First of all we have to calculate the cash that was paid for interest

This interest is payable semiannually that is 6 months out of 12 months

6/12 = 0.5

The bond is 12% = 0.12

= 400000 * 0.12 * 0.5

= 24000 dollars

The interest =

413153 * 10% * 0.5

= 20658 dollars

The reduction = 24000-20658

= 3342 dollars

The carrying value after the first payment

= 413153-3342

= $409811

The book value of the bond liability is $409811

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Which best describes an electron cloud.

Answers

The electron cloud is the area where electrons are usually found. Discover more about electron clouds through the complete definition, model, and the theory that explains electrons movement around atoms.

I hope this helps! Have an amazing day! :)

A hoop of radius 1. 0 m is placed in the first quadrant of an xy-coordinate system with its rim touching both the x-axis and the y-axis. What are the coordinates of its center of gravity?.

Answers

Answer:

(1,1) is the answer you're looking for.

Carefully read sources a through d (listed below), including the introductory information for each source. Compose a thesis statement you might use for an essay in which you develop your position on the role, if any, that zoos should serve in the future. Then, select at least three pieces of evidence from the sources to support your position, briefly explaining how each piece of evidence might be used to develop your argument. Avoid merely summarizing the sources.

Answers

The above question wants to assess your writing ability, therefore it is not correct for me to write the thesis statement for you, but I will show you how to write it.

First, you should know that a thesis statement is a short, direct, and objective paragraph that shows your opinion or position on a particular issue.

This opinion must be substantiated by evidence taken from research sources, for this reason, you should read the sources that have been presented to you or research articles, essays, and publications on the subject.

After that, you can answer your question as follows:

Present your thesis statement, that is, present your opinion on the future role of zoos.Show information from the research sources that support your thesis statement.Explain how this information supports your opinion and shows it to be true.

An example of a thesis statement would be: According to the reading, the function of zoos will become increasingly obsolete due to the growth of environmental awareness and animal rights.

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Crane chose to present this account in a short story form. Which of the following is an aspect of "the open boat" that would be most difficult to convey in a painting depicting the same scene?.

Answers

The Open Boat is a popular book that was written by Stephen Crane.  The  aspect of "the open boat" that is most difficult to convey Thereafter was that 'there was something strange in his voice'.

Crane in his book want the readers to connect deeply with the specific characters in the book and feel their different struggle as they work had in hand to reach the shore alive.

He showed his readers how nature can be powerful and the experience gotten increasing people's ignorant views of the world around them.

See full question below

Crane chose to present this account in a short story form. Which of the following is an aspect of "The Open Boat” that would be most difficult to convey in a painting depicting the same scene?

answer choices

a. These waves were of the hue of slate, save for the tops, which were of foaming white.

b. These waves were most wrongfully and barbarously abrupt and tall.

c. His sleeves were rolled over his fat forearms, and the two flaps of his unbuttoned vest dangled as he bent to bail out the boat.

d. Thereafter there was something strange in his voice.

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Which strategy used in the above essay appeals to the audience’s sense of logic? a) use of details b) appeal to ethics c) attention grabber d) emotional language.

Answers

Answer:

A) Use of details

Explanation:

Got it right on the test :)

Answer:

A) Use of details

Explanation:

According to the table, what is the total distance the hiker walked? 4 km 6 km 10 km 20 km.

Answers

Answer: 20 km

Explanation:

6 + 4 + 6 + 4 = 20

A current of 15 amps flows through a circuit with a resistance of 0. 10 ohms. What is the voltage?.

Answers

Answer: I=U/R

U=I*R U=0.10*15=1.5

Explanation:

A wave with short wavelength will have ____ frequency and ___ energy.

Answers

A wave with a short wavelength will have a high frequency and high energy

How can buddhism affect change on powerful countries that use war to gain political and/ or economic advantages?.

Answers

Answer:

Answer: Buddhism is a religion that seeks to avoid conflict and harm. Most buddhist monks, for example, are vegetarians or vegans

Explanation:

If you have a cb radio, you can turn to channel ___________ and request police assistance.

Answers

Based on radio analysis, if you have a CB radio, you can turn to channel Nine (9) and request police assistance.

What is CB Radio?

CB Radio is the acronym for Citizen band radio. It is divided into 40 channels.

Each CB radio has channel frequencies between 26.965 to 27.405 MHz.

To request police assistance on CB Radio, one must tune to Channel 9. Channel 9 is designated for Emergency communication, and it has a frequency of 27.065 MHz.

Hence, in this case, it is concluded that the correct answer is "Channel 9."

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What is the speed of a wave with a wavelength of 3 m and a frequency of. 1 Hz? 0. 03 m/s 0. 3 m/s 3. 1 m/s 30 m/s.

Answers

Answer:

The correct answer to the question is 0.3 m/s i.e the speed of the wave is 0.3 m/s.

Which range of the electromagnetic spectrum travels at the fastest speed.

Answers

Answer:

Photons travel in harmonic waves at the fastest speed possible in the universe: 186,282 miles per second (299,792,458 meters per second) in a vacuum, also known as the speed of light. The waves have certain characteristics, given as frequency, wavelength or energy.

Andrei adds 50 ml of boiling water to 100 ml of tap water. If the 150 ml of water is then put into a freezer, at what temperature will the water freeze?.

Answers

Answer:

0°C

Explanation:

water always freezes at 0 degrees

Which correctly applies the distributive property to show an equivalent expression to (8. 6)(–2. 5)? (8)(2) – (0. 6)(0. 5) (8)(–2) – (0. 6)(–0. 5) (8. 6)(2) – (8. 6)(0. 5) (8. 6)(–2) + (8. 6)(–0. 5).

Answers

Answer:

the answer is D or the forth answer or (8.6)(–2) + (8.6)(–0.5)

Explanation:

I know because I am doing the test right now

Which of the following is not a function of the female reproductive system.

Answers

Answer:

The option A, releasing fimbria to for fertilization is not a function of the female reproductive system.

A photographic stop bath contains 160ml of pure acetic acid.

Answers

Answer:

Solving for the Percent by Volume

The v/v concentration of acetic acid in the stop bath is 24.6%.

Explanation:

To answer the question, we need to identify certain information stated in the question. Let us write down what’s given:

Volume of solute = 160 mL

Volume of solution = 650 mL

Next, we need to determine what is required, in this case, the percent by volume. Now, let us look at the formula:

v/v concentration = (solute volume / volume of the solution) * 100

Solution:

Percent by Volume = (160 / 650) * 100

Percent by Volume = 0.2461538461538462 * 100

Percent by Volume = 24.61538461538462

Rounded off = 24.6%

Therefore, the final answer is 24.6%

Explanation:

Which of the following is not a benefit of warm up exercise.

Answers

Among the given option only one is not a benefit associated to good warm-up, and it is A:Decreases the temperature of your muscles
A warm up can be regarded as activities involving a gradual increase in intensity when when one is engaging in physical activity.
These warming up activities could be;
joint mobility exercise.
Jumping jacks.
Walking jacks.
stretching
It is important that the body is warm ups before a physical activities brings about Increases metabolic rate and with this, oxygen will be delivered to the muscles more quickly.
Also, injury can be prevented, because of elasticity in muscles.
Therefore, A is right

1/4 as a whole number.

Answers

Answer:

0.25

Explanation:

multiply the fraction by the same number by the denominator.

Brainly. Com answers.

Answers

Answer:

what is this

Explanation:

tell right questions

What um im not sure if your looking for an answer or whatever
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