Let m = the amount books Rachel sold on Monday.
then t = the amount books Rachel sold on Tuesday.<span>
then w = </span><span>the amount books Rachel sold on Wednesday.
On Tuesday she sold twice as she did on Monday.
t = m * 2
On Wednesday she sold 6 fewer books than she did on Tuesday
w = t - 6
Now for the fun.
t = m * 2
w = t - 6
Substitute t for real value
w = m * 2 - 6
Now solve for m.
w - 6 = m * 2 <-- Transpose the 6
(w-6)/2 = m <-- Transpose the 2.
m = (w-2)/2 < The Law of Reflexive Property of Equality</span>
<span>Let x=0.8888...
x=0.8888 Start with the given equation
10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right)
Now subtract the equation x=0.8888 from 10x=8.8888 to get
10x-x=8.8888-0.8888
9x=8 Combine like terms. Notice how the decimal portions cancel out.
x=8/9 Divide both sides by 9 to isolate x
So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)</span>
Answer:
5
Step-by-step explanation:
Check the forward differences of the sequence.
If 
, then let 
be the sequence of first-order differences of 
. That is, for n ≥ 1,
so that 
.
Let 
be the sequence of differences of ,
and we see that this is a constant sequence, 
. In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for 
in terms of 
:
and so on down to
We solve for 
in the same way.
Then
and so on down to
