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
finlep [7]
3 years ago
7

Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
Consecutive integers are numbers one after the other on the number one (ie. 1,2,3,4,5 or 203,204,205).

times= multiplication
sum= addition
more than= addition
is= equal sign

x= first integer
x+2= second integer
x+3= third integer

3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses

3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses

(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses

6x + 6= 5x + 15 + 8

6x + 6= 5x + 23
subtract 5x from both sides

x + 6= 23
subtract 6 from both sides

x= 17 first integer

x + 1= 17 + 1= 18 second integer

x + 2= 17 + 2= 19 third integer


CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108


ANSWER: The three consecutive integers are 17, 18 and 19.

Hope this helps! :)
You might be interested in
BRAINLIST HELP ASAPPPP PLEASEEEE DEW IN 5 MINNN
olga55 [171]

Answer:

(x+10)+(×+50)=180(exterior co- interior angel

2x+60=180

2×=180-60

×=120/2

×=60

(6x+3)=(7x-12)(corresponding angle )

3+12=7×-6×

x=15

4x-2=3x-19(vertically opposite angle)

4x-3×=-19+2

x=-17

4 0
2 years ago
Help fast please and thanks
Rudik [331]

Answer:

Step-by-step explanation:

Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.

5 0
2 years ago
A gym charges a $40 registration fee and $25 per month of membership. Create an equation to model the price (y) based on (x) mon
Lubov Fominskaja [6]

Answer:

y= 40 + 25x

Hope this helps!

8 0
3 years ago
how much antifreeze 25% antifreeze and 50% antifreeze should be combined to give 40 gallon of 30% antifreeze?​
VARVARA [1.3K]

32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze

<h3><u>Solution:</u></h3>

From given,

Final mixture is 40 gallon

Let "x" be the gallon of 25 % antifreeze

Then, (40 - x) is the gallon of 50 % antifreeze

Therefore, according to question,

"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze

<h3><u>Therefore, we frame a equation as:</u></h3>

25 % of x + 50 % of (40 - x) = 30 % of 40

Solve for "x"

\frac{25}{100} \times x + \frac{50}{100} \times (40-x) = \frac{30}{100} \times 40\\\\0.25x + 0.5(40-x) = 12\\\\0.25x + 20 - 0.5x = 12\\\\0.25x - 0.5x = 12 - 20\\\\-0.25x = -8\\\\0.25x = 8\\\\Divide\ both\ sides\ by\ 0.25\\\\x = 32

Thus, 32 gallons of 25 % antifreeze is used

Then, (40 - x) = (40 - 32) = 8

Thus 8 gallons of 50 % antifreeze is used

6 0
3 years ago
HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?
Lelechka [254]
Approximately 263 degrees or C
7 0
2 years ago
Read 2 more answers
Other questions:
  • You are and $20 per hour doing then skipping work your total earnings depend on the amount of hours you spend the landscaping wh
    6·1 answer
  • Lol I hate these problems that's why I keep asking them.... thank you by the way.
    6·1 answer
  • A sailboat’s sail has three sides that are all the same length. Each side measures x−10 units. The sail’s perimeter is 63 units.
    8·1 answer
  • 1. If you know that f(x) + g(x) = -x+2, then what two equations could they be?
    11·1 answer
  • PLEASEEEE HELPPP!!!!
    14·1 answer
  • Solve the system of equations.<br> ​ <br> −5x−3y−9=0<br> 4x−18y−54=0<br> y=? x=?<br> ​
    8·1 answer
  • X - 2 = -3x +2<br>what's x?​
    8·2 answers
  • What is 7.504-2.3792 rounded to the hundred
    8·1 answer
  • iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on
    5·1 answer
  • Benjamin left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!