Answer:
The answer to your question is: x = - 102
Step-by-step explanation:
-x = 17 x 6
-x = 102
x = -102
Answer:
A)
B) $1200
Step-by-step explanation:
Let w represent employee's weekly sales and be total weekly earnings.
We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.
A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.
10% of weekly sales, w, would be
Therefore, the function models the employee's weekly earnings.
B) To find the weekly sales in the week, when employee earned $570, we will substitute in our formula and solve for w as:
Therefore, the amount of employee's weekly sales was $1200.
Step-by-step explanation:
Area of a circle is pi times r-square
So...
Do the rest yourself, my calculator and pen are not handy.Sorry
Answer:
a) La pizza tenía 8 porciones.
b) Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones.
f) Véase la imagen adjunta para mayor detalle.
Step-by-step explanation:
Sean , , las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:
(1)
(i)Julián comió 2/8 del total:
(2)
(ii)Juan comió el doble que Julián:
(3)
(iii)Mica comió la mitad de lo que comió Juan:
(4)
Al aplicar (2) en (3), tenemos que Juan comió:
Y ahora se aplica el resultado anterior a (4):
a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.
b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.
f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.
The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The expression is,
⇒ (2m - 8)²
Now,
We know that,
The formula is,
⇒ (a - b)² = a² - 2ab + b²
Hence, We get;
⇒ (2m - 8)² = (2m)² - 2 × 2m × 8 + (8)²
= 4m² - 24m + 64
Thus, The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
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Answer:
Step-by-step explanation:
Given Andrew has $600 for materials and can make 18 pieces of furniture, you want to know the number of each kind that maximizes profit if each bookcase costs $20 and gives $60 profit, while each TV stand costs $40 and gives $100 profit.
If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...
maximize 60x +100y
subject to ...
The attached graph shows the solution space for these constraints. The profit is maximized at the vertex of the space where the profit function line is farthest from the origin. Andrew maximizes his profit by building ...
Andrew needs to solve a linear programming problem to find how many bookcases and TV stands he should manufacture for optimal profit. This is done by setting up and solving inequalities representing Andrew's time and material cost constraints, graphing the feasible region, and finding the point(s) in this region that yield the highest profit.
This question deals with the topics of linear programming and profit maximisation. Here, Andrew has to decide how much of each type of furniture, bookcases or TV stands, he should produce to maximise profit while considering time and material cost constraints.
From the given conditions, we get two inequalities. The first related to time says that the total number of bookcases and TV stands is less than or equal to 18: let bookcases be x, TV stands be y, thus we have x + y <= 18. The second involving the cost of material says that the total cost spent on materials for both products does not exceed $600: thus, we also have 20x + 40y <= 600.
You can graph these inequalities on the x-y plane to get a visual representation of the possibilities.
Finally, to find the optimal solution (i.e., the highest profit), you calculate the profit function P = 60x + 100y for each point in the feasible region and select the point that provides the highest profit.
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