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
FromTheMoon [43]
3 years ago
13

The sum of four consecutive numbers is -26. what are the numbers?

Mathematics
1 answer:
True [87]3 years ago
6 0
Answer: -8, -7, -6, -5

Remember: consecutive numbers are numbers that are back to back. For example, 1, 2, 3, and 4 are consecutive numbers while 1, 3, 5, and 6 are not.

Form your equation. Let x be your first number, x + 1 your second number, x + 2 your third, and x + 3 is your fourth. To further understand this, temporarily substitute 1 for x, and you will find that they are consecutive.
(x) + (x + 1) + (x + 2) + (x + 3) = -26

Solve for x.
(x) + (x + 1) + (x + 2) + (x + 3) = -26               Distributive Property
x + x + 1 + x + 2 + x + 3 = -26                      Combine like terms
4x + 1 + 2 + 3 = -26                                     Combine like terms
4x + 6 = -26                                                 Subtract 6 from both sides
4x = -32                                                       Divide by 4 to both sides
x = -8                                                            Isolated x

Substitute (-8) for x to find the numbers.
1st #: x = -8
2nd #: x + 1 = (-8) + 1 = -7
3rd #: x + 2 = (-8) + 2 = -6
4th #: x + 3 = (-8) + 3 = -5

The numbers are -8, -7, -6, and -5.

You can also check your work.
(-8) + (-7) + (-6) + (-5) = -26
-26 = -26
 
You might be interested in
Which is greater 3/4 or 0.75?
o-na [289]
0.75=\frac{75}{100}=\frac{75:25}{100:25}=\frac{3}{4}\\\\Answer:\boxed{\frac{3}{4}=0.75-they\ are\ the\ same}
3 0
3 years ago
What is a reasonable height for a 5-story building?
77julia77 [94]
At least 50 Feet or Taller. Depending on the distance between each Floor.
6 0
3 years ago
The square root of 11.737476 has ____ decimal place ​
loris [4]

Answer:

3 decimal places

Step-by-step explanation:

square root of 11.737476 is 3.426

8 0
3 years ago
Read 2 more answers
Which of the following is an example of conditional probability?
Anastaziya [24]

Answer:

A. Probability of drawing a club from a deck of 52 cards, given that the card you draw isn't a heart

Step-by-step explanation:

3 0
3 years ago
Last question of today<br> 20pts/brainliest//thx
ziro4ka [17]
Answer is 32 square feet
7 0
2 years ago
Read 2 more answers
Other questions:
  • Kamilah’s weight has tripled since her first birthday. If w represents the amount Kamilah weighed on her first birthday, write a
    9·1 answer
  • the area of a rectangular dog pen is 8 1/2 square feet. if the width is 3 2/5, what is the length, in feet?
    6·1 answer
  • This time, give your coaster an extra rise and fall!
    8·2 answers
  • Joey has 69 stickers he wants to equally share the stickers with 5 friends how much will each friend get and how many are left o
    8·2 answers
  • Which expression is equivalent to -1/3(6x+15)-3
    5·2 answers
  • Find dy/dx by implicit differentiation for ycos(x)=xcos(y)
    7·1 answer
  • Original price $60 markup 15%
    10·2 answers
  • Please help me answer this !
    15·1 answer
  • Which equasion represents a line that is parallel to the line y=-4x+5
    15·1 answer
  • PLEASE HELP ME ON THIS QUESTION ASAP!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!