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3 years ago

5/10 +2/6 = simplify

Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

Answer:

5/6

Step-by-step explanation:

5/10 + 2/6

First find the common denominator by multiplying 5/10 by 3/3

5/10*3/3=15/30

Then to get to that same denominator multiply 2/6 by 5/5

2/6*5/5=10/30

Answer:

15/30+10/30= 25/30

Then divide 25/30 by 5/5

25/30 / 5/5 = 5/6

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3 years ago

Find the sum of 3 1/5 and 4 1/2

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Answer:

Step-by-step explanation:

3 1/5= 3 2/10

4 1/2= 4 5/10

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3 years ago

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3 years ago

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In a survey of some farmers of a community, 70% of them are found cultivating rice, 60% cultivating wheat, 20% are not cultivati

yan [13]

Answer + Step-by-step explanation:

let R be the set of farmers cultivating rice.

let W be the set of farmers cultivating wheat.

let n be the total number of farmers.

i) Check the attachment.

ii) Card R∪W = Card R + Card W - Card R∩W

Note : Card R denotes the number of farmers cultivating rice.

$CardR\cup W=n-\frac{20}{100} n = \frac{80}{100} n$

$CardR=\frac{70}{100} n$

$CardW=\frac{60}{100}n$

$CardR \cap W=450$

Card R∪W = Card R + Card W - Card R∩W

$\Longleftrightarrow \frac{80}{100} n=\frac{70}{100} n + \frac{60}{100} n-450$

$\Longleftrightarrow \frac{50}{100} n=450$

$\Longleftrightarrow n= 2 \times 450 = 900$

iiI) the number of farmers who are cultivating rice only :

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2 years ago

What is the completely factored form of x^4+8x^2-9

denis-greek [22]

Remark

You'll see it a whole lot easier if you make a substitution so that it looks like something you have already seen

Solution

let y = x^2

x^4 = x^2 * x^2

x^4 = y * y

x^4 = y^2

Now the expression becomes

y^2 + 8 y - 9 = z

(y + 9)(y - 1) = z

Now put the x^2 back in.

(x^2 + 9) ( x^2 - 1) = z

x^2 - 1 becomes x + 1 and x - 1. At this level x^2 + 9 can't be factored.

Answer

(x^2 + 9) (x + 1)(x - 1)

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4 years ago

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