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
Use the Figure below to find the value of x
JulsSmile [24]

Answer:

It should be 92

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
zhenek [66]

Answer:

BCF and GFC

EFC and DCF

because they are alternate

3 0
2 years ago
Read 2 more answers
Which expression is equivalent to a2 + 2a – 8?
marshall27 [118]

Answer:

D

Step-by-step explanation:

(a+4)(a-2)=a^2+2a-8

a*a=a^2

a*(-2)=-2a

a*4=4a

4*(-2)=-8

a^2-2a+4a-8=a^2+2a-8

4 0
3 years ago
Please help on number 3 part 1 and part 2 pretty please thanks
Goryan [66]
For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.

for part two, i don't know how to show the work, but 816 is 96% of 850.

sorry about that, but i hope it helps
7 0
3 years ago
I'm stuck please help me
netineya [11]
28) 
330.0076


29)  
V = l X w X h
V = 12 X 20 X 14

12 X 7 = 84
84 X 2 = 168

168 X 20 = 3360

The volume of the cooler is 3,360 in³

3 0
3 years ago
Read 2 more answers
Other questions:
  • the gestation period of rhinos (487 days) is what percent longer than the gestation period of dogs (65days).
    9·1 answer
  • a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) =
    5·1 answer
  • A research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years. What i
    9·1 answer
  • Free points, what is 2 + 2
    9·2 answers
  • What is an Algebraic expression for, 6-foot pine tree is planted and grew 2 feet each year?
    6·1 answer
  • The distance on the number line from 5 to 12 equals 3x – 2. What is the value of x?
    9·2 answers
  • 70% of 90 please give right answerrr
    11·1 answer
  • What is the answer to this question
    6·1 answer
  • Hey y’all please help me ASAP.
    9·2 answers
  • A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!