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xxMikexx [17]
3 years ago
5

Me podrían ayudar y explicarme el proceso please

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer: Encontrarás las respuestas debajo de cada explicación. Espero que consideres darme brainliest y 5 estrellas, y más importante, que hayas entendido.

Step-by-step explanation:

Esto es la regla de 3. Conoces 3 valores y necesitas encontrar un 4to valor.

Ya sabemos que 1 caja pesa 20kg,

1 - 20kg

ahora queremos saber cuantas cajas (x) equivalen a 7653kg

x - 7653kg

Hacemos un pequeño cuadro poniendo en un lado los numeros de cajas y del otro el peso.

Pongamos la cantidad de cajas en la izquierda y el peso en la derecha

\frac{1}{x} =\frac{20kg}{7653kg}

Procedemos a multiplicar en cruz. Solo podemos multiplicar si tenemos ambos valores. En este caso, los valores en cruz que tenemos son 1 y 7653kg porque en la otra cruz (20 y x) tenemos nuestra incognita. Y, por ultimo, dividimos entre el numero cuya cruz es con la incognita (20kg)

Esto nos deja la expresión así;

x=\frac{1*7653kg}{20kg}

x=382.65

Como una caja no puede ser un numero decimal, redondeamos.

x=383

Por lo tanto, se necesitan aproximadamente 383 cajas para que su peso equivalga a 7653 kg.

-------------------------------------------------------------------------------------------------------

La otra pregunta dice: Si una caja pesa 20kg, (1 - 20kg), ¿Cuántas cajas se necesitan para equivaler 9500kg? (x - 9500kg)

Hacemos lo mismo que arriba, ponemos la cantidad de cajas de un lado, y el peso de otro lado.

\frac{1}{x}=\frac{20kg}{9500kg}

Multiplicamos aquellos valores en cruz que conozcamos y dividimos por el valor cuya cruz sea con x.

x=\frac{1*9500kg}{20kg}

x=475

Esta es la cantidad de cajas que se necesitan para que su pesa equivalga a 9500kg.

--------------------------------------------------------------------------------------------------------

Por último, la pregunta dice, ¿Cuántos kilogramos hay en 873 cajas?

Ya sabemos que una caja pesa 20kg ( 1 - 20kg ) y ahora buscamos cuantos kg hay en 873 cajas; es decir, (873 - x)

Nos quedaría así;

\frac{1}{873}=\frac{20kg}{x}

Ahora, nuestra cruz es 873 y 20kg, y el divisor es 1.

x=\frac{873*20kg}{1}

x=17460kg

Este sería el peso de 873 cajas.

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Answer:

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Step-by-step explanation:

Albert's hourly pay is $8.10

When he works for more than 40 hours, his hourly pay will increase to $12.15.

Last week, Albert worked for 45 hours, his hourly pay would be:

First 40 hours = $8.10 * 40 = $324

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Write an algebraic expression for the phrase five less than the product of six and N
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Which equation is a point slope form equation for line AB ?
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Answer:

Answer choice D:

y - 6 = 2(x - 5)

Step-by-step explanation:

This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).

As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.

You can find the slope of the line by using the slope formula since you have two points that the line goes through.

Slope formula: m=\frac{y_2-y_1}{x_2-x_1}

Substitute in the points A and B into the formula.

m=\frac{6-2}{5-3} \rightarrow\frac{4}{2} \rightarrow 2

The slope of this line is 2.

Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).

We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.

Substitute point A's coordinates and the slope of the line into the point-slope form equation.

y - (2) = 2(x - (3))

I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.

y - 2 = 2(x - 3)

Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.

Substitute point B and the slope 2 into the equation.

y - (6) = 2(x - (5))

Remove the parentheses.

y - 6 = 2(x - 5)

There is an answer choice for this answer we have found, answer choice D.

By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.

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