
Christian L. answered 12/07/21
Medical Graduate tutor in Math, Physics, Chemistry, and Biology
2n+10= 1/6n -7
"more than" is addition in this problem and separates the variable from the free integer 10.
Christian L. answered 12/07/21
Medical Graduate tutor in Math, Physics, Chemistry, and Biology
2n+10= 1/6n -7
"more than" is addition in this problem and separates the variable from the free integer 10.
Amanda K. answered 12/08/21
Certified and Experienced Elementary and Special Education Teacher
Let's break this down:
2 times a number would be 2n.
Then more than 2 times a number would be 10+2n
One-sixth the same number would be 1/6n
one-sixth the number decreased by 7 would be 1/6n-7
Let's put this all together:
10+2n=1/6n-7
So the first phrase we encounter is 10 more, which means that we have "10 + ". Next, we have two times a number n and two times n can be written as "2n". So thus far we have 10 added to 2n or "10 + 2n". Next, we are told that this expression equals 1/6th of the number decreased by 7. 1/6th of the number n can be written as "(1/6)n" and decreased by every means that we need to subtract seven from this value. So our final equation will be
10 + 2n = (1/6)n - 7.
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