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3 years ago

How much pasta will each person get if 8 people share 1/2 pound

Mathematics

2 answers:

VashaNatasha [74]3 years ago

7 0

1/16 pasta because 1/2 divided by 8 is 1/2 times 1/8 which equals 1/16

gavmur [86]3 years ago

4 0

Each person should get 1/16 pound of pasta because:
8 people dividing 1 pound of pizza = 1/8 per person
Take 1/8 and divide by 2 to get the amount for 1/2 a pound. The answer is 1/16 per person

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Answer:

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Step-by-step explanation:

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siniylev [52]

Solution :

a). The level curves of the function :

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Then we know the shark's path is perpendicular to the level curves it intersects.

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$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

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$r(t)=x(t)i+y(t)j$ is a parametrization of the most $\text{rapid increase curve}$ , then

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$\frac{dy}{y}=2\frac{dx}{x}$

$\int\frac{dy}{y}=2\int \frac{dx}{x}$

$\ln y=2 \ln x$

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$\Rightarrow kx_0^2=y_0$

$\Rightarrow k =\frac{y_0}{x_0^2}$

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$y=y_0\left(\frac{x}{x_0}\right)^2$

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