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Digiron [165]
3 years ago
10

The ratio of horses to elephants in the circus is 8 to 7 if there are 16 horses in the circus then how many horses and elephants

are there altogether
Mathematics
1 answer:
dybincka [34]3 years ago
7 0
30 because the original ratio would be 16 to 14 but that reduces to 8 to 7 and then you just double the 7 to get 14  and then you add 16 and 14 together to get the total number of horses and elephants.
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Answer:

x + 5

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Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0
natita [175]

Answer:

\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

Step-by-step explanation:

Given differential equation,

(x^2 + y^2) dx + (x^2 - xy) dy = 0

\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)

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Differentiating with respect to x,

\frac{dy}{dx}=v+x\frac{dv}{dx}

From equation (1),

v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}

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x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v

x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}

x\frac{dv}{dx}=\frac{v+1}{v-1}

\frac{v-1}{v+1}dv=\frac{1}{x}dx

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\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx

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Now, y = vx ⇒ v = y/x

\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

5 0
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