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const2013 [10]
3 years ago
7

The variable z is inversely proportional to x. When x is 3, z has the value 2.

Mathematics
1 answer:
kirill [66]3 years ago
3 0

Answer:

  z = 6/13

Step-by-step explanation:

The new value of x is 13/3 times the old value. Since z is inversely proportional to x, it will be multiplied by the inverse of that, 3/13.

  2 × 3/13 = 6/13 . . . . value of z when x=13

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Answer:

<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be x.

And the cost of small pail be \frac{x}{2} .

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

(x+x)+\frac{x}{2}=10

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

5x=20

<em>Dividing both sides by 5 we get:</em>

x=4.

<em>The cost of a big pail</em> = $4.

<em>So, the cost of a small pail</em> = \frac{x}{2} =\frac{4}{2}=\$2.

Therefore, $4 is spent on a big pail and $2 is spent on a small pail.

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