1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
3 years ago
13

REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte

gers that have a sum of 54. The three consecutive even integers, in order from least to greatest, are , , and . Explain your reasoning. Expressions for the next two consecutive even integers after $2n$ are and . Solving the equation $=54$ , and substituting the solution into the expressions for the three integers results in the three integers given above.
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20

You might be interested in
2(x+16)= 6x please help me :)
jeka94

Let solve:

  2(x+16) = 6x\\2x + 32 = 6x\\32 = 4x\\4x = 32\\x = 8

Thus <u>x = 8</u>

<u></u>

Hope that helps!

5 0
2 years ago
Read 2 more answers
I need the answer and the explanation/ angle name pls help this is a quiz grade
Sever21 [200]

Step-by-step explanation:

The answer is :-

x and w : Dr. Alpha was meeting up with this patient in the library.

Know why:-

Because x and w are Vertically Opposite Angles! And they are always same!

\tt{Hope \ it \ Helps \ :D}

8 0
2 years ago
Expand: f(x)= x^4- x^3+x^2+x-
emmainna [20.7K]
F(x) = x (x^3 - x^2 + x + 1)

6 0
2 years ago
Explain how to use 8×5=40 to find 8×6.
Zina [86]

Answer:

Well there are many different ways to find 8x5=40 to 8x6=__

You could add 8 to 40 and get 48.

or you could draw pictures to represent the 48.

8x6=48

7 0
3 years ago
Write the equation in slope-intercept form of the line that has a slope of -2 and y-intercept of 2.
bixtya [17]

Answer:

y= -2x +2

Step-by-step explanation:

<u>Slope-intercept form:</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -2, m= -2.

Substitute m= -2 into the equation:

y= -2x +c

Given that the y-intercept is 2, c= 2.

Substitute c=2 into the equation:

y= -2x +2

8 0
3 years ago
Other questions:
  • When you multiply 2/3 by a fraction less than one, how does the product compare to the facotrs
    10·2 answers
  • Simplify (30x - 12y) + (41x + 62y)
    5·1 answer
  • Use the given line(s) from a random number table to select numbers to use in each problem. Select 2 contestants for a game show
    12·1 answer
  • What’s this someone answer 15 points
    7·1 answer
  • Kaitlin needs 254 programs for the school play on Thursday. How many boxes of programs will she need, given that each box contai
    14·1 answer
  • Show me How much is 1 5/6 as a mixed fraction
    9·2 answers
  • Pls help me with this. You need to graph the equation or smt
    12·1 answer
  • Which equation is written in slope-intercept form? Oy= 3x-2 O x=y+8 0 2x+ 5y = 12 O 3y = 8x-5​
    7·1 answer
  • 10.
    10·1 answer
  • Which shows the solution set to the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!