If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?

Answers

Answer 1

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

Answer 2

Answer:

________________________


Related Questions

What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27

Answers

Answer:

4

Step-by-step explanation:

Hope this helps!

A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *

Answers

1,250/5 = 250 calories per serving
375/250 = 1.5 servings

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

please help , picture above!

Answers

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4​

Answers

Answer:

3) y = 1/3x - 1

4) y = 2/5x + 0 or just y = 2/5x

5) y = -1x +4

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?

Answers

Answer:

10

Step-by-step explanation:

The easiest way to understand this is not the shortest way.

Give Michael 4 fives and then add an x.

5 + 5 + 5 + 5 + x

Now divide by 5 and equate that to 6

(5 + 5 + 5 + 5 + x)/5 = 6              

Combine the left side

(20 + x)/5 = 6

Multiply by 5

(20 + x) = 6*5

20 + x = 30

Subtract 20 from both sides

x = 30 - 20

x = 10

He needs 10 three - pointers to average 6

Which number is closest to 22 ?

Answers

Answer:

21 or 23

Step-by-step explanation:

Cuz 22 is in the middle of both.

.-.

Answer:

21 or 23

Step-by-step explanation:

BRAINLIEST PLS

what is 4y³ - 3z⁴ when y=3 and z=2 =

Answers

Answer:

60

Step-by-step explanation:

4(y)3 - 3(z)4

Sub:- 4(3)raise to three - 3(2)raise to four

4(27)-3(16)

4*27-3*16

108-48

=60.

what is 22.680 rounded

Answers

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

2089+2089? HHHHHEEELLLLPPP PLZ first to answer get brainlyset

Answers

Answer:

4178

Step-by-step explanation:

Answer:

4178

Step-by-step explanation:

THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?

Answers

Answer: it would be -4

Step-by-step explanation:

I got it right one the mastery test

Answer: -4

Step-by-step explanation:

△DEF≅△LMN
What is the value of x?
What is the value of y?
What is the measure of angle L?
What is the measure segment EF?

Answers

Answer:

If you can pin the picture of the triangles to the comments here I would be very happy to help you!

Answer PLEASE ASAP
question on the image.

Answers

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

2) If x+y=6 and xy=5 find x-y?​

Answers

Answer:

x - y = ± 4

Step-by-step explanation:

Given

x + y = 6 and xy = 5

To find

x - y

Solution

(x - y)² = (x + y)² - 4xy = 6² - 4*5 = 36 - 20 = 16 = 4²(x - y)² = 4²x - y = ± 4

Pat’s Painting Company charges a $125 painting fee, plus $17.50 per hour. Write and solve an equation to determine how many hours the company worked if they were paid $221.25 for one job.

Answers

Answer:

5.728 hours

Step-by-step explanation:

$225.25 - $125 =

$100.25

$100.25/ $17.50 =

5.728 hours

Answer:

Step-by-step explanation:

Let x be the number of hours worked

17.5x + 125 = 221.24

17.5x = 221.25 - 125

17.5x = 96.25

x = 96.25/17.5

x = 5.5 hours

The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?

Answers

Answer:

3rd one

Step-by-step explanation:

The correct pattern created by the values is,

⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The table shows a relationship between x-and y- values.

Now, We have;

x = 2, 4, 6, 8

y = 6, 8, 10, 12

⇒ 2 + 4 = 6

⇒ 4 + 4 = 8

⇒ 6 + 4 = 10

⇒ 8 + 4 = 12

Clearly, Each value of y is determined by adding 4 to each x - values.

Hence, The pattern is additive.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

Simplify the expression by adding or subtracting the linear expressions. 10x + 5 + 5x + 10 *
15x + 15
10x + 15
5x + 10
20x + 5

Answers

The answer would be 15x+15 because you would need to combine like terms. 10x+5x=15x and 10+5=15.

2x+5y=-62x+5y=−6 Determine the intercepts of the line

Answers

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

Learn more:

https://brainly.com/question/20263812?referrer=searchResults

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.



p= __

Answers

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

Which of these is a consumable good?
O Clothing
O Cell phone
O Automobile
O Food

Answers

Answer:

Food

Step-by-step explanation:

Answer:

food

Step-by-step explanation:

A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2+480t. After how many seconds does it reach its maximum height?

Answers

Answer:

t = 15 s

Step-by-step explanation:

A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :

[tex]h=-16t^2+480t[/tex] ...(1)

We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]

So, it will reach its maximum height in 15 seconds.

what is the answer to this?

Answers

Answer:

AA

Step-by-step explanation:

The smaller triangle and the bigger triangle have the same angle of 60 on one side.

They also have a common point at the top, which is also called a common angle.

You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.

I need help with this question.

Answers

Answer:

[tex]\displaystyle S_{27}=675[/tex]

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]

[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]

[tex]\displaystyle S_{27}=27*25[/tex]

[tex]\mathbf{\displaystyle S_{27}=675}[/tex]

Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Answers

Answer:

3.96mm/year

Step-by-step explanation:

Given that :

Given that:

Observed variation in water level over 6.2 years = - 13.64mm

Average annual trend shows rise in water level at 1.8 mm / year

difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Average Yearly observed variation :

Observed variation / number of years

-13.64mm / 6.2 years

= - 2.16 mm

Hence, observed yearly fall = - 2.16 mm

Yearly rise = 1.8mm / year

Difference :

( 1.8 mm/year) - (-2.16mm / year)

= (1.8 + 2.16) mm/year

= 3.96 mm/year

Answer:

24.8 millimeters

Step-by-step explanation:

an initial amount of $55,000 is invested in an account with interest compounded continuously the interest rate is 10% find the value of the account after 14 years​

Answers

A = P(1 + rt)
P = $55,000 r= 0.10 t= 14 years
A = 55,000(1+(0.10)(14) = 55,000(2.4)
A = $132,000 after 14 years

please help me please please

Answers

Answer:

I think it is the second one, flown by women

Step-by-step explanation:

Two lines, R and M, are represented by the following equations:

Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations? (4 points)

a
It is (18, 9).

b
It is (9, 18).

c
There are infinitely many solutions.

d
There is no solution.

Answers

C because when the equations are Simplified you will get y=-x+9 for both which will give them the same line meaning the will have many Solutions

which value is equivalent to 3^2+5x2-8

Answers

3^2+5x2-8
9+5x2-8
9+10-8
19-8
Answer: 11
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