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Fed [463]
3 years ago
9

2. Suppose that y varies inversely with x. Write an equation for the inverse variation.

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

y=\frac{28}{x}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

we have

y = 4 when x = 7

Find the value of the constant of proportionality k

k=y*x

substitute

k=(4)(7)=28

therefore

The equation  for the inverse variation is equal to

y=\frac{28}{x}

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You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.
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Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be x.

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be 2:180.

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5.5 cups is equivalent to x calories.

Thus, the ratio would be 5.5:x.

Now, we set proportion to get the number of calories in 5.5 cups:

2:180::5.5:x

\frac{2}{180} =\frac{5.5}{x}

<em>By cross multiplying we get:</em>

2x=990

<em>Dividing both sides by 2 we get:</em>

x=495.

Therefore, the number of calories in 5.5 cups are 495.

4 0
3 years ago
A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav
algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

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r^3= 3v/4π

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A company manufactures 295 toy car each day. How many toy cars dose the company manufacture in 34 days?
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