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
Temka [501]
3 years ago
5

The sum of three consecutive integers is equal to twice the 2nd number decreased by 14. Write an equation and determine the 3 co

nsecutive integers
Mathematics
2 answers:
adoni [48]3 years ago
4 0

Let lowest integer be x then the second and third are x+1 and x+2.

x + x + 1 + x + 2 = 2(x + 1) - 14

3x + 3 = 2x - 12

x = -12 - 3 = -15

answer is -15, -14 and -13

meriva3 years ago
3 0

Givens

Let the smallest integer = x

The middle integer = x + 1

The largest integer = x + 2

Remark

The first phrase up to is says the sum of ... The key word is sum. So far you have x + x + 1 + x + 2. Simplified this comes to 3x + 3.

Two times the 2nd number is 2*(x + 1) and from that, subtract 14

2(x + 1) - 14

If you break down each phrase as I have done you will soon become very good at doing these types of problems.

So the equation looks like this.

Solution

3x + 3 = 2(x + 1) - 14 Remove the brackets.

3x + 3 = 2x + 2 - 14 Combine the like terms on the right.

3x + 3 = 2x - 12 Subtract 3 from both sides.

3x = 2x - 12 - 3

3x = 2x - 15 Subtract 2x from both sides.

3x - 2x = - 15

x = -15 <<<< Answer for smallest number.

Answer

-15

- 14

-13 Are the three numbers you seek.

You might be interested in
In the figure below, what is the length of AD?
maksim [4K]
Find the inside angle B of the smaller triangle using the base (4) and height (6)
smaller part of B =  arctan(4/6) = 33.69 degrees
 full B = 90 degrees - smaller B gives you the other part of B for the left hand side

so 90 - 33.69 = 56.31

now AD =  6 x tan(56.31) = 9 feet
 answer is G





5 0
3 years ago
Hiiii help please ahh
Brilliant_brown [7]

Answer:

Question 1 Answer : x^2 - 2y^2

Question 2 Answer: x^2\pi - 36\pi

7 0
3 years ago
Read 2 more answers
I don’t understand this
SashulF [63]

Answer:

9 to the 5th power

Step-by-

7 0
3 years ago
Read 2 more answers
What 23.427 rounded to the nearst whole number
photoshop1234 [79]
23, you have to round down. If it was 23.527 it would be 24.
7 0
3 years ago
Read 2 more answers
Express as a trinomial (3x+8) (x+10)
docker41 [41]

Answer:

3x^{2} +38x+80

Step-by-step explanation:

Hello!

A trinomial is a expression consisting of three different terms

To turn this into a trinomial we multiply everything to each other

<u>                     3x                     </u>

3x * x = 3x^{2}

3x * 10 = 30x

<u>                     8                      </u>

8 * x = 8x

8 * 10 = 80

Now we put them all together in an equation

3x^{2} +30x+8x+80

Combine like terms

3x^{2} +38x+80

The answer is 3x^{2} +38x+80

Hope this helps!

7 0
3 years ago
Other questions:
  • Which graph represents y−4=2(x−3) ?
    14·1 answer
  • Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
    14·1 answer
  • What is 9 x 9 divided by 7. Please show your work :D
    8·2 answers
  • Find the volume of the given cone in terms of pi
    5·2 answers
  • Write an inequality to represent the situation, using x to represent the amount of Alicia's paycheck
    12·1 answer
  • Jake's water bill is $24.40 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake c
    14·1 answer
  • What is the surface area of the pyramid
    5·1 answer
  • Twin more than 4 times a number is -18
    10·2 answers
  • Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan
    12·1 answer
  • Factor 25b – 14b<br> b(25 – 14)<br> b(25 + 14)<br> -b(25 – 14)<br> -b(25 + 14)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!