Answer:
1/4x + y = 4
Step-by-step explanation:
y = -1/4x + 4
Add 1/4x on both sides
1/4x + y = 4
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Answer:
150 hombres juegan baloncesto.
Step-by-step explanation:
En una escuela hay 315 alumnos de los cuales 1/3 son mujeres y el resto son hombres.
Paso 1
Encontramos el número de estudiantes que son mujeres
= 1/3 × 315
= 105 mujeres.
Se nos dice que el resto son hombres. Por lo tanto, el número de hombres que son estudiantes se da como:
= 315 - 105 mujeres
= 210 hombres
Paso 2
2/7 de los hombres juegan fútbol y el resto baloncesto.
Esto significa que 2/7 de 210 hombres juegan al fútbol
= 2/7 × 210 hombres
= 60 hombres
Por tanto, 60 hombres juegan al fútbol.
Paso 3
También se nos dice que el resto juega al baloncesto.
El número de hombres que juegan baloncesto se calcula como:
210 - 60
= 150 hombres.
Por tanto, 150 hombres juegan baloncesto.
Answer: 2/3, 29/36, 5/6, 8/9
Step-by-step explanation:
You find the common denominator you could use for all fractions. In this instance, you can use 36 for the common denominator.
2/3: 36/3=12, 2x12=24 therefore 2/3 becomes 24/36.
29/36: you leave this one alone, it has already been simplified.
5/6: 36/6=6, 6x5=30 therefore 5/6 becomes 30/36.
8/9: 36/9=4, 8x4=32 therefore 8/9 becomes 32/26.
In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means
Integrate both sides of the first equation with respect to <em>x</em> :
Differentiate both sides with respect to <em>y</em> :
But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.
