Answer:
Step-by-step explanation:
you need to use the proportions
x=(3*5)/8=15/8
8/3 is an improper fraction, to make it proper you find out how many times 3 goes into 8 (which is 2). So then you have 2 and two times 3 is 6. This does not equal 8 yet so you do 8-6=2 You put this number over the denominator 3. So your final answer is 2 2/3.
Answer:
Step-by-step explanation:
collect terms
11x+61=180
move numbers to one side and x to other
11x=180-61
11x=119
x=119/11=10.8
If Helen takes 3 hours on Monday at p exercises per hour, then she does 3p exercises. If she does the same number in two hours, then every hour, she does 3p/2 exercises. <span />
The objective is to state why the value of
converging alternating seies with terms that are non increasing in magnitude
lie between any two consecutive terms of partial sums.
Let alternating series
<span>Sn = partial sum of the series up to n terms</span>
{S2k} = sequence of partial sum of even terms
{S2k+1} = sequence of partial sum of odd terms
As the magnitude of the terms in the
alternating series are non-increasing in magnitude, sequence {S2k} is bounded
above by S1 and sequence {S2k+1} is bounded by S2. So, l lies between S1 and
S2.
In the similar war, if first two terms of the
series are deleted, then l lies in between S3 and S4 and so on.
Hence, the value of converging alternating
series with terms that are non-increasing in magnitude lies between any two
consecutive terms of partial sums. So, the remainder Rn = S – Sn alternating
sign
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