first combine like terms so 2n + 7n which is 9n
so 9n + 7 = 13 + 3n + 8n
then combine on other side so 9n + 7 = 13 + 11n
then subtract 7 to 13 so 6
sp 9n + 6 = 11n
then subtract 9 to the other side so 2n
6 = 2n then divide all by 2
n= 3
Answer: For every 1 can of red paint, the number of yellow paints used by the painter is
and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by

So, for every 1 can of red paint, the number of yellow paints used by the painter is 
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.
Answer:
x=105 and y=190
Step-by-step explanation:
4x+1y=610, and x+y=295 ; x= 105 and y=190
Answer:
4π(w+1)(w-1)
Step-by-step explanation:
The total surface area of the cylinder
= 2 x area of base circle + area of vertical surface
= 2x pi x radius^2 + 2x pi x radius x height
= 2π(w-1)^2 + 2π(w-1)(w+3)
= 2π[w^2-2w+1 + w^2+2w-3]
= 2π(2w^2-2)
= 4π(w^2 - 1)
= 4π(w+1)(w-1)
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Step-by-step explanation:
Given,
Cost of each adult ticket = x dollars
Cost of 3 adult ticket = 3x
Cost of 2 adult ticket = 2x
Cost of each child ticket = y dollar
Cost of 3 child ticket = 3x
Henson's cost;
3 adult tickets + 1 child ticket = $203
3x+y=203
Garcia's cost;
2 adult tickets + 3 child tickets = $189
2x+3y=189
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Keywords: linear equation, addition
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