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Sedbober [7]
2 years ago
14

What’s the answer for 3n-6=33 I have to solve for n

Mathematics
2 answers:
dezoksy [38]2 years ago
7 0

Answer:

n=13

Step-by-step explanation:

3n-6=33

Add 6 to both sides

3n=39

Divide both sides by 3

n=13

4vir4ik [10]2 years ago
3 0

Answer:

n= 13

Step-by-step explanation:

Hope this helps you out ;)

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How many L of an 85% alcohol solution must be mixed with 6 L of a 55% alcohol solution to make a 65% solution?
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Answer:

3 Liters of the 85% Solution

Step-by-step explanation:

You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

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3 years ago
Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10..
Alisiya [41]
\bf \sum\limits_{n=2}^{10}~-2n-3

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".

however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n.  So let's use those fellows then,

\bf \sum\limits_{n=2}^{10}~-2n-3\qquad 
\begin{cases}
k=n-1\\
k+1=n
\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3
\\\\\\
\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5
\\\\\\
-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)
\\\\\\
-2(45)-45\implies -90-45\implies -135
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