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LUCKY_DIMON [66]
3 years ago
5

Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el h

ijo?
Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

El hijo solo tardará 3 horas en arar el campo

Step-by-step explanation:

Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.

Queremos saber el tiempo que pasará el hijo si va a trabajar solo

Sea el área del campo x

La tasa de trabajo de ambos es x / 2

La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y

Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;

x / 6 + x / y = x / 2

Despegar x 1/6 + 1 /y = 1/2

1 / y = 1/2 - 1/6

1 / y= 1/3

entonces y = 3

El hijo solo tardará 3 horas en arar el campo.

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8x+ 7y =39<br> 8x + 2y = 34<br><br><br> What is x and y
anygoal [31]

Answer:

y= 1 and X=4

Step-by-step explanation:

8x +7y =39

8x +2y =34

elimination method(we multiply 8x+7y=39 or 8x + 2y= 34 by -1 to eliminate 8x)

lets multiply 8x+7y = 39 by - 1

-8x -7y = -39

8x +2y = 34

(8x-8x)+(2y-7y)= (-39+34)

0 + (-5y) = -5

-5y= -5......dividing both sides by -5

<em> y = 1</em>

8x +2y =34....... substituting y by 1

8x +2(1)= 34

8x + 2= 34

8x = 34-2

8x = 32.....dividing both sides by 8

<em>x = 4</em>

Lets check;

8x +2y = 34

8(4) +2(1) = 34

32 + 2 =34

<em>34 = 34</em>

8x + 7y = 39

8(4) + 7(1) = 39

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<em>39 = 39</em>

7 0
3 years ago
Multiply.<br> (2x2 – 3x)(3x2 + 2x - 1)
exis [7]

Answer:

-6x^{2} –7x + 20

Step-by-step explanation:

(2x2 – 3x)(3x2 + 2x – 1)

(4 – 3x)(2x + 5)

(4*2x) + (4*5) + (–3x*2x) + (–3x*5)

8x + 20 -6x^{2} –15x

-6x^{2} –7x + 20

8 0
3 years ago
A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t
Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

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2 years ago
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