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
zmey [24]
3 years ago
9

The sum of six consecutive integers is −9. What are the integers?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

4, -3, -2, -1, 0, 1

Step-by-step explanation:

since there are 6 consecutive integers, we can say create an equation:

n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) = -9

add like terms to get:

6n + 15 = -9

subtract 15 from both sides:

6n = -24

divide both sides by 6 and you get n:

n = -4

plug -4 into n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) to find all six integers:

-4 + (-4 + 1) + (-4 + 2) + (-4 + 3)+ (-4 + 4) + (-4 + 5)

simplify the parenthesis:

-4, -3, -2, -1, 0, 1

the sum of all of these number are -9

You might be interested in
8 = 4 - 2x<br> - 2x +5 = 17<br> 12= - 3 ( x+ 5)
max2010maxim [7]
8 = 4 - 2x\\8 + 2x = 4\\2x = -4\\x = -2

- 2x +5 = 17\\-2x =12\\x = -6

12= - 3 ( x+ 5)\\12 = -3x -15\\-3x =27\\x= -9
5 0
3 years ago
Point A(7, 3) is translated to A’(16-19) what rule require the translation
vekshin1
New x = old x + 9
new y + old y - 22
7 0
3 years ago
Triangle ABC is such that AB = 3cm , BC = 4cm , angle ABC = 120 and BAC = theta : Write down in terms of theta , and expression
lakkis [162]
1)inside the triangule is 180º .There are 3 angules, one with 120º, theta and
angle ACB, lets call it x.

x + theta + 120 = 180
x + theta= 180-120
x + theta= 60
x= 60- theta
angle ACB= 60- theta
8 0
3 years ago
5) One restaurant charges $7 per person and $1 admission fee. A second compant Charges $5 per
Assoli18 [71]

The people will there need to be in order for the second company to be less expensive in 1st restaurant.

Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.

Admission fee for 1st restaurant = $1

Charge for 1st restaurant per person = $7

Admission fee for 2nd restaurant = $15

The number of employees required for 2nd restaurant need to have in order to be less expensive = x

Total amount needed for 1st restaurant = $1 + $7 = $8

To make the 2nd restaurant less expensive =

As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.

To learn more about Word problems related to arithmetic operation from the link:

brainly.com/question/24464054

#SPJ9

5 0
1 year ago
Which statement is FALSE?
algol13

Answer:

F)FALSE

G)FALSE

H) TRUE

J)FALSE

4 0
2 years ago
Other questions:
  • Mrs.smith wrote “eight less than three times a number is greater than fifteen” on the board. If x represents the number, which i
    10·1 answer
  • Loft insulation reduces annual heating costs by 20%.
    10·1 answer
  • Evaluate functions from their graph. g(-5)=
    11·1 answer
  • Explain how to write and evaluate an algebraic expression that represents the situation. The blueberries were divided equally in
    7·2 answers
  • What type of symmetry does a regular pentagon have
    5·1 answer
  • What is 62% of eighty
    7·2 answers
  • How to add with unlike denominators?
    6·2 answers
  • Help I’ll mark you if your tight
    11·1 answer
  • Each TTF site bought a new rope bridge for 4,500. TTF will make monthly payments of $350 until the bill is paid. Write an equati
    13·1 answer
  • During a three-month period, four trees in the Perillo's backyard grew in height. The rates at which the trees grew are listed b
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!