The answer is mostly likely B
Answer:
The Base-10 system.
Step-by-step explanation:
our everyday number system is a Base-10 system. • the Base-10 number system is known as the decimal system. and has 10 digits to show all numbers. 0,1,2,3,4,5,6,7,8,9. using place value and a decimal point to separate.
Part A you would just distribute your 3 to your X and your 5. After doing that you would get 3x+15+x=4x. Next you would combine like terms, meaning combine your x's together that is on the same side of your equal sign. So you would add 3x and x. When finished with that you would get, 4x+15=4x. You would then subtract your 4x on both sides of your equal sign. You then would get 15=0 which is no solution.
Part B you would distribute your 4 to your 1 and -x. After doing this your equation should then look like 4-4x=5x+8. Next you would try to get your like terms together. You would add 4x on both sides of your equal sign. Your equation should then look like 4=9x+8. Next you would subtract your 8 on both sides of the equal sign because your getting your terms together. Your equation should then look like, -4=9x. This answer would be one solution.
Part C you would combine your like terms, meaning add your 2x and x together to get your equation looking like, 3x+5=5+3x. You can tell just by looking at this equation it's going to be a infinite number of solutions.
Hope this helps! (:
Answer:
The direct variation equation can be given as:

Step-by-step explanation:
Given:
At a summer camp there are 6 campers under one counselor.
To find the direct variation equation for the number of campers in terms of number of counselor.
Solution:
Number of campers
Number of counselors
We have
∝ 
The direct variation equation can be written as:

where
is the direct variation constant.
There are 6 campers under one counselor. Using this statement we can find value of 
Given: when
then 
We have,

∴
Thus, the direct variation equation can be given as:

We can find the points using the equation to plot.

0 0
1 6
2 12
The graph is sown below.