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
(5x10^7)(6x10^4) in scientific notation
Ratling [72]

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Step-by-step explanation:

5 0
2 years ago
8.7 × 10 to the 5th power in standard form
Andrej [43]
Answer would be 870000
6 0
3 years ago
Read 2 more answers
Solve for e.<br> 9e + 4 = -5e + 14 + 13e
Snezhnost [94]

Answer:

17e+18

Step-by-step explanation:

9e+4=-5e+14+13e

4e+4+14+13e

17e+4+14

17e+18

4 0
2 years ago
Read 2 more answers
Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that?
Jobisdone [24]

Answer:

y =  \frac{3}{2}x - 3

y =  \frac{1}{8} x -  \frac{7}{8}

Step-by-step explanation:

The given system is

3x-2y=6

0.4(20y+15)=x

The slope intercept form is y=mx+c.

For the first equation, 3x-2y=6, we add -3x to both side -2y=-3x+6

y =  \frac{3}{2}x - 3

For 0.4(20y+15)=x, we expand to get:

8y  + 7 = x

8y= x - 7

Divide through by 8

y =  \frac{1}{8}x -  \frac{7}{8}

Therefore the system in slope-intercept form is:

y =  \frac{3}{2}x - 3

y =  \frac{1}{8}x -  \frac{7}{8}

5 0
3 years ago
Read 2 more answers
Find the volume of the lunch box shown here.
Papessa [141]
Check the picture below.

so the lunchbox is really a semi-circle with a radius of 3, sitting on top of a square of 6x6, with a lenght of 10.

the volume of the lunchbox then will be the area of the semi-circle and square times the length.

\bf \left[ \stackrel{\textit{semi-circle's area}}{\frac{\pi 3^2}{2}}+\stackrel{\textit{square's area}}{(6\cdot 6)} \right]\stackrel{length}{10}\implies \left(  \frac{9\pi }{2}+36\right)(10)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the biggest fraction?<br><br> 2/4<br><br> 2/3<br><br> 4/5<br><br> 4/6
    8·1 answer
  • Fill in the blanks to rewrite the given statement. Every positive number has a positive square root.
    14·1 answer
  • Least to greatest -10-3 2 7
    6·2 answers
  • Explain the steps involved in adding two rational<br> expressions.
    8·2 answers
  • Find x to the nearest hundredths place. A. 52.06 cm B. .04 cm C. 10.26 cm D. 24.27 cm
    10·1 answer
  • The volume of a cylinder is 169 in.3 and the height of the cylinder is 1 in. What is the radius of the cylinder?
    5·1 answer
  • Naoki's bicycle has a mass of 10 kg. If Naoki sits on her bicycle and starts pedaling with a force of 105.6 N, causing an accele
    10·1 answer
  • What is the solution to 0.4(12 - 3x) = 0.3(12x - 16)?<br> F. 4<br> G. 2<br> H. -2<br> J. -4
    14·1 answer
  • Which equation could be true ?
    15·1 answer
  • Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!