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Vladimir [108]
3 years ago
13

Simplify the expression

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Step  1  :

 (23 x 2 -  5) • x 3

Step  2  :

Trying to factor as a Difference of Squares :

  Factoring:  8 x 2-5  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Answer:

(8 x 2 - 5) • x 3

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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0
3 years ago
A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
OverLord2011 [107]
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3 years ago
Mean median mode and range of 9 9 9 9 9​
sleet_krkn [62]

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median 9

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