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
Pepsi [2]
3 years ago
14

Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10  some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}
\\\\\\
3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14
\\\\\\
0=a-14\implies 14=a

what are the other two consecutive integers?  well, a + 2 and a + 4.
You might be interested in
Find the area of this triangle
just olya [345]

Answer:

can't

Step-by-step explanation:

we need to have the height

8 0
3 years ago
What is the rule of this question
NARA [144]
It adds 13
11 + 13 =24
6 0
3 years ago
Read 2 more answers
Which is equivalent to 8X- Y + 3X
Zarrin [17]

Answer:

11x-y or 5x+y.

Step-by-step explanation: I hope this helps, I really don't know what the question means, since it not that specific.

6 0
3 years ago
27÷624 as partial quotient
g100num [7]

Answer:

0.04326

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following is a radical equation?
MrMuchimi
It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A
5 0
3 years ago
Other questions:
  • This circle and x + 2y= 12 create a system of equations.
    15·1 answer
  • You order 3 posters advertised on the Internet. Each poster costs
    10·1 answer
  • John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 ​ start fraction, 1, divided by, 3, e
    8·1 answer
  • Can somebody explain this to me when 2du = 16xdx ???
    15·1 answer
  • A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b
    5·1 answer
  • Jason has a credit card that charges 2% interest on unpaid balances each month. He spent $300, but only makes the minimum paymen
    10·1 answer
  • Please help, I've never gotten these and I still dont. this test is 95% of my grade​
    6·1 answer
  • For the polynomial f(x) = 3x^3 + 3x^2 - 13x + 12 determine the average rate of change between the two given values for x
    15·1 answer
  • Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
    14·1 answer
  • # [4-5{1-(4-3+1)}] of 100% equals <br><br> a) 50%<br> b)-1%<br> c)zero<br> d)100%
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!