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3 years ago

Problem is in the pictures

Mathematics

1 answer:

marta [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}6x+3y=-21&\text{divide both sides by (-3)}\\2x+5y=5\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-2x-y=7\\2x+5y=5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=12\qquad\text{divide both sides by 4}\\.\qquad\qquad y=3\\\\\text{Put it to the second equation:}\\2x+5(3)=5\\2x+15=5\qquad\text{subtract 15 from both sides}\\2x=-10\qquad\text{divide both sides by 2}\\x=-5$

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3 years ago

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3 years ago

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Evaluate this expression <br> (-7--9)*(8+2)

Marizza181 [45]

Before we get started, it is good to remember PEMDAS - the acronym that tells you the order to carry out equations.

P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction

Knowing this, we should start by doing the equations <em>within </em>each parentheses.

$(-7 - -9) *(8 + 2)$
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So we did the addition and subtraction pieces within each group leaving us with the above equation. Now let's multiply:

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20 is the answer.

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3 years ago

CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)

svlad2 [7]

Answer:

Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.

En este caso tenemos los porcentajes 20%, 50%, 10% (notar que no suman 100%, entonces nos falta algún porcentaje)

Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.

Y en un círculo, tenemos un ángulo de 360°

Entonces comenzamos con la equivalencia:

360° = 100%

Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:

x = 50%

Si tomamos el cociente entre las ecuaciones:

x = 50% y 360° = 100%

obtenemos:

x/360° = 50%/100%

resolviendo para x, obtenemos:

x = (50%/100%)*360° = 0.5*360° = 180°

Para los otros porcentajes hacemos lo mismo.

Para el de 20% tenemos:

y = 20%

planteamos la ecuación:

y/360° = 20%/100%

y = 0.2*360° = 72°

Finalmente, para el de 10% tendremos:

z = 10%

planteando la ecuación como antes:

z/360° = 10%/100%

z = 0.1*360 = 36°

Asi, hemos encontrado los grados correspondientes para cada porcentaje.

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3 years ago