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! :)
Answer:
x<u>></u><u>1</u><u>1</u><u> </u><u>1</u><u>/</u><u>4</u>
Step-by-step explanation:
thats how we are learning it in my school it might not be the same for you
What is the bottom number of the shed
Answer:
x = 2 1/2
Step-by-step explanation:
Answer:
900 large boxes were sold, and 750 small boxes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of large boxes of cookies sold.
y is the number of small boxes of cookies sold.
A total of 1,650 boxes of Girl Scout cookies were sold last week.
This means that

So

Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.
This means that

Since 






900 large boxes were sold, and 750 small boxes.