3 years ago

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How may cups of water are needed of each cup of milk

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

6 0

For every 1 cup of milk you would need 3/4 cups of water

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Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.

Viefleur [7K]

Kinetic energy possessed by moving train is $E_k = 150000J$ .

And mass $m = 10000kg$ .

The formula for kinetic energy is $E_k = \frac{m\times v^2}{2}$ .

Solve for velocity:

$E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2$

$v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}$

Now put in the data:

$v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}$