Your answer would be 4x-7=-3(3+4x) because it only has one solution which is x= -1/8
Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.
<h3>¿Cómo determinar las utilidades por la venta de bebidas gaseosas?</h3>
Las utilidades (U') se obtienen de sustraer los costes de producción (Cp) a las utilidades <em>netas</em> (U). Los costes de producción (Cp) son la suma de costes <em>variables</em> (C') y costes <em>fijos </em>(C). y la utilidades <em>netas</em> proceden de la venta de botellas. En consecuencia, tenemos la siguiente expresión:
U' = U - Cp
U' = U - C' - C
A continuación, desarrollamos y resolvemos la ecuación resultante:
30000 = 4.50 · x - 2.50 · x - 18500
1.50 · x = 11500
x = 7667
Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.
Para saber sobre utilidades: brainly.com/question/16933668
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Answer:
z = 155 ( second choice )
Step-by-step explanation:
x = 25
65 + 90 = 155
180 - 155 = 25 = x
180 - 25 = 155 = z
The probability that one of each color is selected is 
<h3>Probabilities</h3>
The probability of an event is the chances of the said event
The given parameters are:
- Total = 10
- Red = x
- Blue = 10 - x
<h3>Calculating the required probability</h3>
The probability that one of each color is selected is calculated as follows:

So, we have:

This gives

Take LCM

Simplify the above expression

Expand

Hence, the probability that one of each color is selected is 
Read more about probabilities at:
brainly.com/question/7965468
Answer:
The answer is 12.64 ft.
Step-by-step explanation:
From the figure it is clear that slope is the hypotenuse which we have to find while the other two sides are legs of the triangle whose lengths are known.
so the pitch of the roof is 12.64 ft. i explained in the figure below as well.