A farmer is able to prepare 1/2 are of soil in 3 days. How long will it take him to prepare 2 1/4 acres of soil?

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

x = 13 1/2 days

Step-by-step explanation:

1/2 acre 2 1/4 acre

------------ = -------------------------

3 days x days

using cross products

1/2 * x = 2 1/4 * 3

change 2 1/4 to an improper fraction (4*2+1)/4 =9/4

1/2 x = 9/4*3

1/2x = 27/4

multiply each side by 2

2 * 1/2 x = 27/4 * 2

x = 27/2

change back to a mixed number

x = 13 1/2

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Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

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Substituting the value of k we have that the inverse variation is:
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Clearing x2 we have:
$x2 = 180/3$
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Step-by-step explanation:

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