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Troyanec [42]
2 years ago
15

Marta y su hermano leyeron un libro cada uno el domingo pasado

Mathematics
1 answer:
laila [671]2 years ago
3 0

Marta leyó 1,625 veces la cantidad de páginas leída por su hermano.

En esta pregunta debemos determinar la razón (r) de la cantidad de páginas <em>leída</em> por Marta (x) a la cantidad de páginas <em>leída</em> por su hermano (y). Es decir,

r = \frac{x}{y} (1)

Si sabemos que x = 52 y y = 32, entonces la razón definida al principio de esta respuesta es:

r = \frac{52}{32}

r = 1,625

Marta leyó 1,625 veces la cantidad de páginas leída por su hermano.

Invitamos cordialmente a consultar esta pregunta sobre razones aritméticas: brainly.com/question/22962732

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The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
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                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
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So, given the information in this very question/problem:
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slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
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And we can write the equation of the line; in "slope-intercept form"; that is:
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  " y = mx + b " ;  as:
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   " y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
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   "Ax + By + C = 0 " ; 
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So; given: 
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 " y = (-1/3)x + (10/3) " ;
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  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
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            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

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