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Komok [63]
3 years ago
7

The number of boys varies directly as the number of girls and inversely as the number of teachers. When there are 24 boys and 16

girls, there are 2 teachers. How many girls are there when there are 72 boys and 1 teacher?
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
SO from what I did was...

Since 24 x 3 = 72 , I did the same to 16. 

16 x 3 = 48 

But because instead of their being 3 teachers there is 1... What I did is just was to divide 48 / 2 which gave me the answer of 24... 

So what I think the answer is... 

There are 72 boys, 24 girls, and 1 teacher... 

Unless I am just dumb and it would be 48 girls, but I think I did it right. 

I hope I was able to help out.
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f(x,y)=\dfrac{y^3}x

a. The gradient is

\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath

\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}

b. The gradient at point P(1, 2) is

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c. The derivative of f at P in the direction of \vec u is

D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}

It looks like

\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath

so that

\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2

Then

D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}

\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}

7 0
3 years ago
7g = -84 ; g = - 12 due in 10 min WHAT IS UP WITH THESE TIMED MATH TESTS T^T
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Step-by-step explanation:

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7 0
2 years ago
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Answer:

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so for those 16 ounces, you paid $3.20 for them.

unit price is just a term for the price of 1 item or measurement. you can use this to find out what product you are purchasing has the better deal, because you always want more product, for less money.

you should take the amount of money you are spending, and divide it by how many total ounces it has.

$3.20 / 16 = 0.20

this means that 1 ounce of jam costs $0.20

you can check your work by multiplying the price of one ounce, by how many ounces the jar is.

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i hope this was helpful to you and i explained well enough!

stay safe!!

:)

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Answer:

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Step-by-step explanation:

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