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vovangra [49]
3 years ago
7

Simplify completely quantity 2 x minus 24 over 8.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
6 0
(2x-24)/8
the only way to simplify it is divide every number by 2
(x-12)/4=(1/4)x-3
DanielleElmas [232]3 years ago
5 0

Answer: Our simplified form is :

\frac{x}{4}-\frac{1}{2}

Explanation:

Since we have given that

\frac{2x-24}{8}

Now, we have to simplify it:

First take out 2 as a common factor from the numerator:

\frac{2(x-12)}{8}

Then simplify number and denominator :

\frac{(x-12)}{4}

Now, Separate the denominator:

\frac{x}{4}-\frac{2}{4}\\\\=\frac{x}{4}-\frac{1}{2}

Hence, our simplified form is :

\frac{x}{4}-\frac{1}{2}

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Aneli [31]
3.3333333 repeating
Take 10 and divide it by 3
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3 years ago
Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

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You are dealt one card from a standard 52 card deck find the probability of being dealt a king and a jack
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Answer:

zjvmNxn

Step-by-step explanation:

sxcxz

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It is 1,325 feet from Kinsey's house to her school. Kinsey walks to school each morning and gets a ride home each afternoon. How
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Answer: 6,625 feet

Step-by-step explanation:

Since she gets picked up in the afternoon, she's only walking one way. This means all you have to do is multiply 1,325 by 5 to get 6,625.

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karen has 60 dollars in a savings account. the interest rate is 10% and is not compounded. how much will she have in 1 year​
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