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Tpy6a [65]
3 years ago
12

Sonia finds a 3/4- full bag of chips . she eats the rest of the chips in the bag. Then she opens another small bag of chips. Son

ia eats 1/8 of those chips. what fraction of a small bag of chips does Sonia eat altogether?
Mathematics
1 answer:
frutty [35]3 years ago
4 0
The fraction can be write as 7/8.

3/4=6/8
6/8+1/8= 7/8
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What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?
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Answer:

The given expression is simplified as \frac{(x+3)^2-(x^2 +9)} {2x^2}  = \frac{3}{x}

Step-by-step explanation:

Here, the given expression is:

\frac{(x+3)^2-(x^2 +9)} {2x^2}

Now, with ALGEBRAIC IDENTITIES:

(a+b)^2  = a^2 + b^2 + 2ab

Now, similarly: (x+3)^2  = x^2 + (3)^2 + 2x(3)   = (x^2  + 9 + 6x)

Now, substituting the values in the given expression, we get:

\frac{(x+3)^2-(x^2 +9)} {2x^2} \implies \frac{(x^2  + 9 + 6x)-(x^2 +9)} {2x^2}\\=  \frac{(x^2  + 9 + 6x-x^2  -9)} {2x^2} \\=  \frac{ 6x} {2x^2}  = \frac{3}{x}

Hence, the given expression \frac{(x+3)^2-(x^2 +9)} {2x^2}  = \frac{3}{x}

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