4n+8=2(n+6)
Now isolate the n on one side of the equation:
4n+8=2n+12(distribution of the 2)
4n=2n+4(combine like terms)
2n=4(combine like variables)
N=2(isolate the n)
The answer is 2
Good luck!
Answer:
x = 11
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the second
x+2 is the third
x+3 is the 4th
The sum is 50
x+ x+1 + x+2 + x+3 = 50
Combine like terms
4x+6 = 50
Subtract 6 from each side
4x+6-6 = 50-6
4x = 44
Divide each side by 4
4x/4 = 44/4
x = 11
Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector is a linear combination of and if there are two scalars such as
In our case, all the vectors are given in but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of and , so the solution is
You'd get a total 24 cups, 3/5=9/15. 9+15=24