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Tems11 [23]
4 years ago
10

a recipe for lemonade calls for 1 cup of sugar and 5 cups of water.How much sugar is used per cup of water

Mathematics
2 answers:
Dmitriy789 [7]4 years ago
7 0
1/5 cups sugar per cup of water.
Kryger [21]4 years ago
6 0
With one cup of sugar, you need five cups of water. For one cup, you divide one by five, which would be 1/5 cups of sugar.
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Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

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If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

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3 years ago
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