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
fgiga [73]
3 years ago
10

Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.​

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
  • Let the first integer be x.

  • Let the second integer be x + 1 .

  • Let the third integer be x + 2 .

<h2><u>According</u><u> to</u><u> the</u><u> </u><u>question</u></h2>

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

\bf  \rightarrow  \: \:3x  \: + \:  3  \: =  \: -42

\bf \rightarrow \: \: 3x  \: = \:  -42  \: - 3

\bf  \rightarrow \:3x \:  = \:  -45 \:

\bf  \rightarrow \:x \:   =  \:  \frac{ - 45}{ \: 3}  \\

\bf  \rightarrow \:x \:   =  \:   \cancel\frac{ - 45}{ \: 3}   \:   \: ^{ - 15}  \\

\bf  \rightarrow \:x \:   =   \:  - 15

{\boxed{ \Large{ \red{ \rm{ \underline{ Now \:  \:  substitute}}}}}}

\bf  \implies  \: \:x \:    =  \:  - 15

\bf  \implies \:  \:x  \:  +  \: 1 \:  =  \:  - 15 \:  + \:  1 \:  =  \:  - 14

\bf  \implies \:  \:x  \:  +  \:2 \:  =  \:  - 15  \: + \:  2 \:  =  \:  - 13

-15 , -14 and -13 are the three consecutive integers.

You might be interested in
Multiply.
Elis [28]

Hey there!

Answer:\boxed{\text{C.}108.73608}

Explanation:

31.246*3.48

Multiply to solve.

\boxed{\text{C.}108.73608}\text{ is your answer.}

Hope this helps!

\text{-TestedHyperr}

4 0
3 years ago
Solve using substitution y = -4x + 10 y = -x + 1. <br>will give brainleist if correct<br> ​
gayaneshka [121]

Answer:

5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A bag contains 6 blue counters and 4 red counters. I take two counters out at random. My
Step2247 [10]

Answer:

Possible outcome=6+4=10

P(red counter)=2/10=1/5

6 0
3 years ago
Can someone help please?????
frutty [35]
The answer is 13 you have to add the top and bottom
8 0
3 years ago
The problem is: On a Map, 3 inches represents 40 miles, How many inches represents 480 miles?
d1i1m1o1n [39]
Answer: 36

480/40=12
12x3=36
8 0
3 years ago
Other questions:
  • Emmett participated in a race. During the race, he ran 5 miles north and then ran 12 miles west. What is the shortest distance t
    15·1 answer
  • Tony spent $60.54 and bought 3 packs of notebooks and a calculator. How much does a pack of notebooks cost if a calculator costs
    12·2 answers
  • stickers are made with the same ratio of width to length. A stickers 2 inches wide has a length of 4 inches.
    9·1 answer
  • Name 3 properties of A in a quadratic formula.
    15·1 answer
  • Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.
    13·1 answer
  • I NEED HELP PLEASE. LOOK AT PICTURE
    9·1 answer
  • What is 3 miles and 4,221 feet divided
    8·1 answer
  • Y= 2x+1 Graph this line
    10·2 answers
  • Someone help plssssss
    14·1 answer
  • How do I do this? geometry
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!