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3 years ago

Share 20 into the ratio 1:3

Mathematics

2 answers:

Vilka [71]3 years ago

6 0

Answer:

5:15 :))

Step-by-step explanation:

you would do 1+3(=4) and then divide 20 by 4(=5)

5×1=5

5×3=15

GarryVolchara [31]3 years ago

4 0

Answer:

the shares will be 5 and 15.

Step-by-step explanation:

let the ratio constants be x

so,

x + 3x = 20
4x = 20
x = 20/4
x = 5

so the shares are x = 5 and 3x = 15

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Determine if the field Bold Upper F equals 10 yz Bold i plus 10 xz Bold j plus 10 xy Bold k is conservative or not conservative.

Black_prince [1.1K]

F is conservative if we can find a scalar funciton f such that grad(f) = F.

This would entail

$\dfrac{\partial f}{\partial x}=10yz$

$\dfrac{\partial f}{\partial y}=10xz$

$\dfrac{\partial f}{\partial z}=10xy$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=10xyz+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=10xz=10xz+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

Differentiate both sides with respect to z :

$\dfrac{\partial f}{\partial z}=10xy=10xy+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=10xyz+C$

that satisfies

$\nabla f(x,y,z)=\mathbf F(x,y,z)$

and so F is indeed conservative.

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3 years ago

What is 6 - 5c = -29

Arturiano [62]

6 - 5c = -29

Subtract 6 from both sides

-5c= -35

Divide -5 on both sides

Final Answer: c= 7

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vitfil [10]

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gogolik [260]

Answer:

Step-by-step explanation:

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