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BaLLatris [955]
3 years ago
9

En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos p

atos equivalen 7 cerdos?
Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!

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Study the equation.<br> x² + 6x = - 4
Zinaida [17]

Answer:

x = -3+√5,  -3-√5 (exact roots)

or  x = -0.76, -5.24   to the nearest hundredth.

Step-by-step explanation:

x² + 6x = - 4

Completing the square:

(x + 3)^2 - 9 = -4

(x + 3)^2 = 5

x + 3 = +/-√5

x = - 3 + √5, - 3 - √5

5 0
3 years ago
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
Frank has a batting average of .255. Write this decimal as a fraction in simplest form.
Artist 52 [7]
9/40 because when you put it in fraction form its 225/1000 then you simplify!

6 0
3 years ago
Read 2 more answers
What is negative 13/7 minus negative 5/7 as a fraction
Nimfa-mama [501]

Answer:

-8/7

Step-by-step explanation:

13-7. 8

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

7

7

4 0
3 years ago
Read 2 more answers
A sandbox has an area of 10 2/3 square feet, and the length is 1/4 feet. What is the width of the sandbox?
AlekseyPX

Answer:

The width of the sandbox is 42\frac{2}{3} \ ft.

Step-by-step explanation:

Given,

Area of the sandbox = 10\frac{2}{3}=\frac{32}{3}\ ft^2

Length = \frac{1}{4}\ ft

Solution,

Let the width of the sandbox be 'w'.

Since the sandbox is in shape of rectangle.

So we use the formula of area of rectangle.

Area = Length\times Width

On substituting the given values, we get;

\frac{1}{4}\times w=\frac{32}{3}\\

By cross multiplication method, we get;

w=\frac{32\times4}{3\times 1} =\frac{128}{3} =42\frac{2}{3} \ ft

Hence The width of the sandbox is 42\frac{2}{3} \ ft.

5 0
3 years ago
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