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
nikdorinn [45]
3 years ago
13

Find three consecutive integers for which 3 times the sum of the first and the third is -342

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

You might be interested in
- 6x +15 <br>Can anyone please show me the steps of solving this equation​
Vesna [10]

Answer:

-6x + 15 = - 69 which x = 14

Step-by-step explanation:

You cannot solve this equation. There is no equal sign anywhere. Either you mean

-6x = 15 in which case the answer is

-6x/-6 = 15/-6

x = - 2 1/2 or x= - 2.5

or you mean that you use the distributive property

- 3(2x + 5)

You may have left something out of this.

-6x + 15 = -  69

You can do it now that you have the complete equation. But you need the entire equation before you can answer the question.

Subtract - 15 from both sides.

-6x + 15 - 15 = -69 - 15

-6x = - 84

Divide by - 6

-6x/-6 = - 84/-6

x = 14

But what you want is

-6x + 15

-6*14 + 15

-84 + 15

-69

-6x + 15 = - 69

when x = 14 which is usually what you are asked.

5 0
3 years ago
How can you study with out getting distracted
jarptica [38.1K]
If you play music then you won't get distracted by the outside world or if you study in a quiet room
6 0
3 years ago
Read 2 more answers
Farmers mowed 60 acres of grass a day instead of 50 and managed to finish the task one day earlier than planned. What is the are
schepotkina [342]
 300 acres. because <span>multiply 60 by 5.</span>
6 0
3 years ago
Which statement is true about the measure of angle R’??
aleksley [76]

Answer:

Angle R is an Angle

Step-by-step explanation:

This question has no photo or context

4 0
3 years ago
A body builder consumed 4,400 calories yesterday. Today, he consumed 3,600 calories . What is the percent decrease in number of
IgorC [24]

Answer:

it's about 18 percent decrease**** so 20 percent to round up

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem. Eliz must cov
    5·1 answer
  • NEED HELP AGAIN ASAP
    10·2 answers
  • Find the probability that a randomly selected person
    12·1 answer
  • Va rog,e urgen!!!!!
    8·1 answer
  • Solve the following system of equations: 3x − 2y = 6 6x − 4y = 12 (0, 0) (6, 12) Infinitely many solutions No solutions
    11·2 answers
  • What is the Measure of &lt;1? A.53 b.137 c.47 d.43
    10·1 answer
  • Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2​
    8·2 answers
  • Please help me its a math problem thank you i give brainlist
    10·2 answers
  • A pet supply store lets you donate your change to the local animal shelter. Denise buys a bag of dog food for $15.74 and a squea
    5·1 answer
  • Companies also gather data on customer web use and preferences often without
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!