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
Which answers are elements of the solution set of the inequality? Check all that apply. X-54 > - 76
RideAnS [48]

Answer:

C, D

Step-by-step explanation:

I assume your problem statement actually says

x - 54 > -76

x > -22

then the answers

C, D

are part of the solution set.

the others are not.

6 0
3 years ago
If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?
zavuch27 [327]

Answer: x = 184°

Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are <u>Vertical</u> <u>Angles</u>, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.

Then,

m∠2 = m∠4

92=x.(\frac{1}{2})

92=\frac{x}{2}

Value of x is

x=92(2)

x = 184

The value of x is 184°.

4 0
3 years ago
How to find the equation of this line?
Bad White [126]

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

5 0
3 years ago
Please help me out i will mark brainliest!
asambeis [7]

Answer:

y=-x+2

x+y=2

Step-by-step explanation:

hopefully this helps :)

8 0
3 years ago
Read 2 more answers
Does anyone get this I accidentally pressed that by accident
sergiy2304 [10]

Answer:

this has happened to me before. unfortunately I had to refresh the page.

Step-by-step explanation:

write down the answers you already have done.

4 0
3 years ago
Other questions:
  • Please answer this . It’s of class 8 Thank you
    13·2 answers
  • Salma bought 3 CDs that were each the same price. Including sales tax, she paid a total of $44.70. Of that total, $2.10 was the
    8·1 answer
  • The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r
    6·2 answers
  • 2x – 8x + 6<br> What is the answer when factoring this equation
    9·2 answers
  • Which of the integers shown is the greatest? -22 -5 -7 or -3
    15·1 answer
  • What expressions are equivelent to −3(2+7)
    12·1 answer
  • The volume of a cube is 343 cm³ what is the surface area of the cube
    11·2 answers
  • NEED ASAP Which line is parallel to the line y=4x-2?
    10·1 answer
  • This is due today pls help. I’ll give u BRAINLIEST
    10·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!