The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20

Answers

Answer 1

Given:

The arithmetic mean of three consecutive even integers is 20.

To find:

The equation that can be used to find the integers.

Solution:

Let the three consecutive even integers are x, x+2 and x+4.

We know that,

[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

The arithmetic mean of three consecutive even integers is:

[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]

It is given that, mean = 20. So,

[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]

Therefore, the correct option is E.


Related Questions

0.067318 to 2 significant figures

Answers

In two significant figures it is 0.067.

what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)

Answers

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Find the slope of line:6x+3y=21

Answers

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2

first, subtract 6x from both sides: 3y= -6x+21
next, divide everything by three: y= -2x + 7, the slope would then be -2 & the y-intercept would be 7

Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Answers

Answer:

30

26

Step-by-step explanation:

A puppy weighs 3 pounds what is the puppy's weight in ounces

Answers

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Compute -8+2.8+7.3 find the answer

Answers

use the calculator but the answer is 18.1

TurboTax will have one 45-second commercial. How much money will they spend?

Answers

It depends on what channel the company buys the commercial but the average 45 second commercial cost around $5,000

5(x – 10) = 30 – 15x
Solve

Answers

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

solve simultaneous equations 4x+2y=7
3x-5y=-24

Answers

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)

Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?​

Answers

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Domain is the set of x values in a function for which it is defined.

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

PLEASE HELP ME WITH THIS LAST QUESTION PLEASE

Answers

Answer:

Is the answer -3x-y. If it is thank me plz.

Step-by-step explanation:

What is y= 1/3x+2 equal to as a slope?

Answers

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

Consider the equation (x – 4)2 + 3 = 12

Answers

the answer is x= 17/2

Answer:

I'm guessing you're solving for X so

X=  17/2

Step-by-step explanation:

PLSS!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

what is (3,0) reflected on the y-axis

Answers

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

6x - 15 = 3 (2x-6) + 3

Answers

Answer:

hope this helps :)

Step-by-step explanation:

There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?

Answers

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Need help ASAP Tysm

Answers

Answer:

16.81

Step-by-step explanation:

4.1x4.1=16.81

The correct answer will be B

When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?

Answers

Answer:

Mark's final velocity at the end of the 8 seconds is 9.6 m/s

Step-by-step explanation:

The acceleration of mark after the light turns green, a = 1.8 m/s²

The time duration of the motion with the 1.8 m/s² acceleration,  t = 8 seconds

Mark's final velocity at the end of the 8 seconds, v is found using the equation of motion for velocity as follows;

v = u + a × t

Where;

u = The initial velocity = 0 m/s

a = The acceleration = 1.8 m/s²

t = The time in motion = 8 seconds

Substituting gives;

v = 0 + 1.2 × 8 = 9.6

Mark's final velocity at the end of the 8 seconds, v = 9.6 m/s.

Final velocity after 8 second is 64 m/s

Final Velocity of car:

Given:

Acceleration of mark = 8 m/s²

Time taken = 8 second

Find:

Final velocity of mark

Computation:

v = u + at

v = 0 + (8)(8)

v = 64 m/s

Final velocity of mark = 64 m/s

Find out more information about 'Acceleration.'

https://brainly.com/question/2437624?referrer=searchResults

75 (1+2z) simplified

Answers

First things first... we will do 75 times 1 which equals 75
Second... we will do 75 times 2z which equals 150z
Now we will put the equation together to get 75 + 150z

So you’re answer would be 75 + 150z

I hope this helps you(:

6-(666+987889879878)

Answers

Answer:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez

What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.

Answers

The answer would be Y=0.5x+1

Find two consecutive integers such that the sum of one-fourth of the first and one-fifth of the second is 11. PLS ANSWER.​

Answers

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

help would be greatly appreciated!!!​

Answers

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?

Answers

Answer:

16

Step-by-step explanation:

PLZ HELP, BEST ANSWER GETS BRAINLLEST!
Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117

Answers

Answers:

a) 4 and 5b) 7 and 8c) 10 and 11

=====================================================

Work Shown:

List out the perfect squares

{1,4,9,16,25,36,49,64,81,100,121}

We stop once we reach 117 or just a bit higher.

---------------------------

Then notice that

[tex]16 < 19 < 25 \ ... \ \text{19 between the squares 16 and 25}\\\\\sqrt{16} < \sqrt{19} < \sqrt{25} \ ... \ \text{ apply square root to all sides}\\\\4 < \sqrt{19} < 5[/tex]

Which shows [tex]\sqrt{19}[/tex] is between 4 and 5. Therefore, the two closest integers to [tex]\sqrt{19}[/tex] are 4 and 5.

---------------------------

We follow the same steps for [tex]\sqrt{50}[/tex]

So,

[tex]49 < 50 < 64\\\\\sqrt{49} < \sqrt{50} < \sqrt{64}\\\\7 < \sqrt{50} < 8[/tex]

So the square root of 50 is between 7 and 8.

---------------------------

And finally,

[tex]100 < 117 < 121\\\\\sqrt{100} < \sqrt{117} < \sqrt{121}\\\\10 < \sqrt{117} < 11[/tex]

---------------------------

Using a calculator, we find that

[tex]\sqrt{19} \approx 4.36[/tex]

[tex]\sqrt{50} \approx 7.07[/tex]

[tex]\sqrt{117} \approx 10.82[/tex]

which helps confirm our answers.

Evaluate x2 - 7xy for x = 7 and y = 3.

Answers

Answer:

-98

Step-by-step explanation:

I hope this help

all you need is in the photo ​

Answers

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Answers:

Slope = 4

Y intercept = 5

======================================================

Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

---------------

The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why

Answers

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

What is coordinate?

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

https://brainly.com/question/15300200

#SPJ2

Miguel selects five DVDs to purchase. A few of the DVD cases appear to be damaged, so the manager gives Miguel a 20% discount on his entire purchase. Miguel tries to guess how much money will be deducted from the total cost. What is the cost of the DVDs before tax is added? Show your work.

Answers

Answer:

d * 0.20 = x

Step-by-step explanation:

In order to calculate the total cost of the DVD's we first need to change the percentage of the discount that Miguel's manager is giving him into decimal format by dividing the percentage by 100 like so...

20 / 100 = 0.20

Now that we have the decimal value we can multiply it by the actual cost of the DVDss to find the total cost before taxes. Since we do not have the actual DVD cost we would make the following equation where x is the final total cost and d is the initial cost of the DVDs.

d * 0.20 = x

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