Solve for x: three halves plus one half times x equals two x need answer plz:(

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

Answer:

2 = x

Step-by-step explanation:

3/2 + 1/2 times x = 2x

x by itself = 1x

Subtract 1x

3/2 + 1/2 times 1x - 1x = 2x -1x =

3/2 + 1/2 = 1x

3/2 + 1/2 = 4/2 = 2

2 = 1x

1x/1 = x

2/1 = 2

2 = x

Lorico [155]3 years ago

6 0

x equals one

3/2+1/2x=2x

3/2+1/2=2x

2=2x

1=x

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Step-by-step explanation:

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Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

Putting 1 in $n$ , $\frac{1}{2}(1)-\frac{1}{2}=0$
Putting 2 in $n$ , $\frac{1}{2}(2)-\frac{1}{2}=0.5$
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Putting 4 in $n$ , $\frac{1}{2}(4)-\frac{1}{2}=1.5$

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)