Answer:
Step-by-step explanation:
Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars.
Profit function = Revenue - cost
So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.
Profit function of x
= 
The question in English
<span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?
let
x---------> the number of men
y--------> the number of women
we know that
x+y=270----> x=270-y-----> equation 1
100x+80y=24800-------> equation 2
substitute equation 1 in equation 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160
the answer is
the number of men ---> 160
the number of women----> 110
the answer in Spanish
</span>hagamos
x--------->la cantidad de hombres
y--------->la cantidad de mujeres
Sabemos que
x+y=270----> x=270-y-----> ecuacion 1
100x+80y=24800-------> ecuacion 2
sustituimos la ecuacion 1 en la ecuacion 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160
La respuesta es
la cantidad de hombres es 160
la cantidad de mujeres es 110
Answer:
20/3 ounces of water is added.
Step-by-step explanation:
how many ounces of pure water should be added to 20 ounces of 40% solution of muriatic acid to obtain a 30% solution of muriatic acid?
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The acid is 40% of 20 ounces = 8 ounces.
0.4*20 = 8
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That same 8 ounces is to be 30%. The water will be the other 70%.
8/30 = x/100
30x = 800
x = 80/3, the total amount of the solution.
We started with 20, so 80/3 - 20 = 20/3
20/3 ounces of water is added.
Answer:
A
Step-by-step explanation:
