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
Vikki [24]
3 years ago
12

The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
6 0
X + x +2 + x + 4 + x + 6 + x + 8 + x+ 10 = 270
6x + 30= 270
6x = 240
x = 40

all numbers are 40,42,44,46,48,50
second number = 40 + 42 = 42


Andrej [43]3 years ago
6 0
Hello! 

Let's take a look at this problem... okay so it tells us we have six consecutive even numbers...  *** this means that there are six even numbers that come after each other in order ***   ( for example:   2, 4, 6, 8...)   

since we don't know these numbers let's start off by giving them variable values....

x = 1st number
x + 2 = 2nd number     ---->  I added 2 to x cuz the next even number comes     x + 4 = 3rd number               two spots after
x + 6 = 4th number
x + 8 = 5th number
x + 10 = 6th number

now let's form an equation with all this....

(x) + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 270
6x + 30 = 270
6x = 240
<u>x = 40</u>

Now we plug x into the 2nd number's "equation"....

x + 2 
40 + 2
<u>42</u><u />                   <-----    That's your answer!

Hope this helps! :D

<u>Please vote me for Brainliest if there is a second answer!</u>
You might be interested in
What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
2 years ago
Three out of every 7 of the girls in class have bikes. If 12 girls have bikes, how many have not?
eduard
3    *4    12   have 
-    = 
7     *4    28  total 

28-12=16
7 0
3 years ago
Read 2 more answers
0.8y+0.25= -0.4<br><br> Solve for y
disa [49]

Answer:

y = -13/16

Step-by-step explanation:

<u>Given:</u>

0.8y+0.25= -0.4

<u>To Find:</u>

Solve for y

<u>Solution:</u>

Multiply both sides by 100

0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100

Simplify

80y+25=-40

Subtract 25 from both sides

80y+25-25=-40-25

Simplify

80y=-65

Divide both sides by 80

\frac{80y}{80}=\frac{-65}{80}

Simplify

y=-\frac{13}{16}

Thus, y = -13/16

or in decimal form it equal y = -0.8125

<u><em>~Lenvy~</em></u>

7 0
2 years ago
Read 2 more answers
Consider the function y=x^2+5x-2 . What would happen to the graph if (x -1) was substituted in place of the x?
Ilia_Sergeevich [38]

Answer:

B.

Step-by-step explanation:

f(x - c) shift the function <em>c</em> units to the right.

In this case, if (x - 1) was substituted in place of the x, the graph would shift 1 unit to the right.

If you want to graph the new function and know the graph of the previous one, this relationship avoids you the substitution of (x - 1) into the function and expansion of the expression to obtain a new quadratic formula.

3 0
3 years ago
Triangle ABC was transformed to create triangle DEF.
LiRa [457]

Answer:

Side length E D corresponds to Side length B A because they are in the same position. or 2nd answer

Step-by-step explanation:

yo boy just took the test =) 2020 btw

5 0
3 years ago
Other questions:
  • Which of the following does not have the same value as the others?
    5·1 answer
  • What is the answer for x. x/2=9
    8·2 answers
  • Which expression is equivalent to 15a^8b^4/5a^4b?<br> 3a^2b^4<br> 3a^4b^3<br> 10a^4b^3<br> 10a^4b^4
    6·1 answer
  • Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is
    11·1 answer
  • PLEASE HELP!! ASAP WILL MARK U BRAINLIEST ‼️‼️
    10·1 answer
  • A department store is having a clothing sale. If a $35.00 pair of pants has a discount tag of 20% off, what is the sale price?
    8·1 answer
  • (right person gets 44 points!!)
    10·2 answers
  • F(x+k) what is the value of k
    10·2 answers
  • Which measure of center would you use to describe a data set with no extreme values and no big gaps?
    13·2 answers
  • Question 10 of 10
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!