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2 years ago

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

Mathematics

1 answer:

zhenek [66]2 years ago

4 0

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two. Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6 There must be something that works, but I can't come up with an example.

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A growing farming conglomerate increases its water usage at a rate of 5% every year. If it used 48,000 megaliters of water this

romanna [79]

Answer:

Future requirement of water = 115,517 mega-liters

Step-by-step explanation:

Given:

Current requirement of water (C) = 48,000 mega-liters

Increasing rate per year (g) = 5% = 0.05

Number of year (n) = 18 years

Find:

Future requirement of water = ?

Computation:

$Future\ requirement\ of\ water = C(1+g)^n\\\\Future\ requirement\ of\ water = 48,000(1+0.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(1.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(2.4)\\\\Future\ requirement\ of\ water = 115,517 (Approx)$

Future requirement of water = 115,517 (Approx) mega-liters

7 0

2 years ago

-12<-6x please help

pishuonlain [190]

-12 < -6x

-12/-6 > x divide both sides by -6

12/6 > x two negatives makes a positive

2 > x simplify

x < 2 switch sides

hope this helps, God bless!

6 0

2 years ago

Plz help <br> Find ‘x’ & ‘y’

just olya [345]

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

$\frac{25}{5} = \frac{x}{4} = \frac{y}{3}$

$\frac{25}{5} = 5$

so:

$\frac{x}{4} = 5$

x=5×4

x=20

and...

$\frac{y}{3} = 5$

y=3×5

y=15

3 0

2 years ago

Can someone help me with this problem

balandron [24]

Hi! Your answer should be, 1,960.89

Hope this helps you!

3 0

2 years ago

∆ABC m∠B = 90° AB = 4 BC = 3<br> Find AC

lutik1710 [3]

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

$AC^2 = AB^2 +BC^2 \\ \\ \therefore \: AC = \sqrt{AB^2 +BC^2 } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \\ \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}$

8 0

2 years ago