if n is an integer,what is the sum of the next three consecutive even integers greater than 2n?​

Answers

Answer 1

Answer:

6n + 12

Step-by-step explanation:

Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6

Taking their sum;

Sum = (2n+2)+(2n+4)+(2n+6)

Sum = 2n+2n+2n+2+4+6

Sum = 6n + 12

Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12


Related Questions

How many swimmers are there represented on this dot plot?

Answers

Answer:

424

Step-by-step explanation:

just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer

6/24 is the answer for this solution

Help!!!!!!!!!!!!!!!!!!!!!!!

Answers

the area would be 204 cm

y’all im struggling right now

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

probability of getting a number greater than 4 on a die, is 2 out of 6 or [tex]\frac{2}{6} = \frac{1}{3}[/tex]

probability  of getting an A on the spinner is [tex]\frac{4}{8}=\frac{1}{2}[/tex]

probability  of getting both is [tex]\frac{1}{3} *\frac{1}{2} = \frac{1}{6}[/tex]

Find the volume of the solid

Answers

Answer:

Volume of the given pyramid is 68 mm³.

Step-by-step explanation:

Figure given in the picture is a pyramid.

And volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]

Area of the base = 68 mm²

Height of the pyramid = 3 mm

Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]

                                                         = 68 mm³

Volume of the given pyramid is 68 mm³.

Carlos, Brad, and Rick earned $221.88 raking leaves and cleaning yards last week. If they split their earnings equally, how much will each of them get?

Answers

Answer:

Step-by-step explanation:

Chanclas

Answer:

$110.94

Step-by-step explanation:

221.88 divided by 2 is 110.94

does anyone need help on anything

Answers

Answer:

yus can you answer this for me

Step-by-step explanation:

In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).

Answers

Answer:

A. P(EC) = 0.4  

B. P(E∪E) = 0.75

C. P(EC ∩ FC) = 0.25

Step-by-step explanation:

Let us calculate -:

we are given with - P(E) = 60 and P(F) =.15,

Thus , (a) [tex]P(E^C)=1-P(E)[/tex]

                   [tex]=1-0.6[/tex]

                   [tex]=0.4[/tex]

(b) P(E∪F) = P(E) + P(F)

   = 0.60 + 0.15

   = 0.75

(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]

   [tex]=1-0.75[/tex]

   = [tex]0.25[/tex]

Hence , the answers are -A. P(EC) = 0.4  , B. P(E∪E) = 0.75  , C. P(EC ∩ FC) = 0.25.

Which expressions correctly represent the area of the triangle XYZ?

Answers

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                              = [tex]\frac{1}{2}(XZ)h[/tex]

                              = [tex]\frac{1}{2}(18)h[/tex]

By applying sine rule in the ΔYPZ,

sin(38°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(38°) = [tex]\frac{h}{14}[/tex]

h = 14[sin(38°)]

Therefore, area of the given triangle = [tex]\frac{1}{2}(18)(14)sin(38)[/tex]

By applying sine rule in ΔYPZ,

sin(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(58°) = [tex]\frac{h}{10}[/tex]

h = 10sin(58°)

Area of ΔXYZ = [tex]\frac{1}{2}(18)(10)sin(58)[/tex]

Therefore, Options (2) and Option (1) are the correct options.

Find the volume of the cone. Round your answer to the nearest hundredth.
A) 129.72m^3
B) 134.04m^3
C) 137.71m^3
D) 143.04

Answers

Answer:

can we get the figure plz

len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

I think the answer is 11.20 am

Determine the volume!

Answers

Answer:
I can’t see the picture

Explanation:
What do you need help with?

if x=5, then 3x+4x-15 equals what

Answers

Answer: 20

Step-by-step explanation:

Data: x=5 and 3x+4x-15

First step, Insert the 5 and multiply

3(5)+4(5)-15=15+20-15

Second step, add 15+20=35

Final step, subtract 35-15=20

The answer is 20

I hope this helps!

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

What is the value of the expression below when x =6 and y =2? Xy-y^3

Answers

answer:
4

step-by-step explanation:
x = 6
y = 2
xy - y^3
substituting
6(2) - 2^3
12 - 8
4

Find lim f(x) as x->2- and lim f(x) as x->2+

Answers

Answer:

2x the correct answer okay

Soren's favorite cereal is on sale. A 20-ounce box costs $4.59. A smaller, 12-ounce box costs $2.52. Complete the statements to describe which box costs less per ounce.

Answers

Answer:

The smaller box, 12 oz, costs less per oz than the larger 20 oz box.

Step-by-step explanation:

$4.59 divided by 20 = $0.2295 per oz

$2.52 divided by 12 = $0.21 per oz

Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP

Answers

I think it’s 10,21 and 40, in that order. Sorry if I’m wrong:(

4 × 7/8 = ? 4 × 6/8 =?

Answers

Answer:

4 × 7/8 = 3.5

Step-by-step explanation:

4 × 6/8 = 3

Answer:

3.5 and 3

Step-by-step explanation:


There are 44 rabbits. What is 44 rounded to the nearest 10?

Answers

Answer:

4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6

Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order.

Answers

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = [tex]\frac{15}{5}[/tex] = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

If you sleep 6 hrs out of 24 hrs how much percent do you sleep?

Answers

Answer:

25%

Step-by-step explanation:

I hope this helps you!!

Answer:

You sleep 25% of the day.

Step-by-step explanation:

First you change the equation into a fraction:

6 hrs out of 24 hrs = 6/24

Then you can simplify this fraction:

6/24 = 1/4

Lastly, convert the fraction to a percent:

1/4 = 25%

Brainliest would be greatly appreciated!!!!

Plz help me well mark brainliest if correct!....

Answers

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14

Solve x2 – 6x + 9 = 0 by completing the square.

Answers

Answer:

11/6

Step-by-step explanation:

See the steps below:)

help i dont reamember how to do this plz

Answers

The median is 87. A stem and leaf plot is basically just putting a number, like 90 and 92, and separating the 90 from both to make 9 | 0 2

Present
earch and writ
storie​

Answers

Answer:

What did you say?? i dont know what your trying to say?

Answer:

?

Step-by-step explanation:

I don’t know how to solve this I’m so confused please help me

Answers

Answer:

240 inches squared

Step-by-step explanation:

12 x ( 3 + 17) =

12 x 20 =

240 inches squared

Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R

Answers

Answer:

Your answer is R+92=180

Step-by-step explanation:

Supplementary means angles that add up to 180, so R+92=180 has to be correct.

Can someone please help me I will mark u brilliant

Answers

Answer:

11

Step-by-step explanation:

just count all the Xs from 4 and up

Helpp me please!!
I need it knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Help plz no links unhelpful answers will get reported use formulas plz. I'm being gneerous

Answers

Answer:

what's the question?? I b.d ont get it

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