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Ainat [17]
3 years ago
10

Is 6/11 greater than or less than or equal to 9/10

Mathematics
2 answers:
nalin [4]3 years ago
6 0
Less just cross mutiply it helps me out alot to do that Update: sorry I did that wrong I think it is greater than actually
svetoff [14.1K]3 years ago
4 0
Normally to compare 2 fractions, I would say to find a common denominator so you can compare them directly, however on this problem we can just use a little common sense to figure it out...

Look at 6/11.  6 is approximately half of 11 so 6/11 is approximately 1/2.  Now look at 9/10.  If 10/10 is one whole, 9/10 is approximately 1. 

So you can look and see that 6/11 < 9/10 because 1/2 < 1

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4 years ago
Solve the linear differential equation 2xy' + y = 2√x
77julia77 [94]

Answer:

Step-by-step explanation:

General form of the linear differential equation can be written as:

\frac{dy}{dx}+P(x)y=Q(x)

For this case, we can rewrite the equation as:

\frac{dy}{dx}+\frac{1}{2x}y=\frac{\sqrt{x}}{x}

Here P(x) =\frac{1}{2x}; Q(x)=\frac{\sqrt{x}}{x}

To find the solution (y(x)), we can use the integration factor method:

Fy(x)=\int Q(x)Fdx+C \rightarrow F=e^{\int P(x)dx

Then F=e^{\int \frac{1}{2x}dx}=e^{\frac{1}{2}\ln|x|\right}=\sqrt{|x|}

So, we can find:

y\sqrt{|x|}=\int \frac{\sqrt{x}\sqrt{|x|}}{x}dx+C

Suppose that x\in \double R, then \sqrt{|x|}=\sqrt{x} , and we find:

y\sqrt{x}=x+C \rightarrow y(x)=\sqrt{x}+\frac{C\sqrt{x}}{x}

To check our solution is right or not, put your y(x) back to the ODE:

y' = \frac{1}{2\sqrt{x}}-\frac{C}{2\sqrt{x^{3}}}

2xy'=\frac{x-C}{\sqrt{x}}

2xy'+y=\frac{x-C}{\sqrt{x}}+\sqrt{x}+\frac{C\sqrt{x}}{x}=2\sqrt{x}

(it means your solution is right)

3 0
2 years ago
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KonstantinChe [14]

Answer:

the reciprocal of one is \frac{1}{1} it doesn't really make a difference it's still 1

Step-by-step explanation:

4 0
4 years ago
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Black_prince [1.1K]

Answer:

43.12500

Step-by-step explanation:

figure out 25 percent of 575 (143.75) then do 575-143.75 for the discounted price (431.25) then turn 10 percent into a deciaml (.10) and multiply 431.25 by .10 for your answer. Hope this help :)

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