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tigry1 [53]
3 years ago
12

Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice. Let s represent the number of cu

ps of sparkling water and j represent the number of cups of apple juice. Write an equation that shows how and are related.
Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

s = 2j

Step-by-step explanation:

Given - Ada makes sparkling juice by mixing 2 cups of sparkling water

            with every 4 cups of apple juice. Let s represent the number of

            cups of sparkling water and j represent the number of cups of

             apple juice.

To find - Write an equation that shows how s and j are related.

Proof -

Let total number of cups of sparkling water make = s

     Total number of cups of apple juice make = j

Now,

Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.

⇒2s = 4j

⇒s = 2j

∴ we get

Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.

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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
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Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

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In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

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Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

#SPJ4

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