No work needed, just the answer!
No work needed, just the answer! - 1

Answers

Answer 1
Answer:

Answer:

The answer to your question is: x = - 102

Step-by-step explanation:

                                          - (x)/(6)  + 1 = 18

                                          - (x)/(6) = 18 - 1

                                          - (x)/(6)  = 17

                                          -x = 17 x 6

                                         -x = 102

                                          x = -102


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A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the employee's weekly earnings? B)If the employee earned $570 in a week, what was the amount of her sales for that week?

Answers

Answer:

A) E(w)=450+0.10w

B) $1200

Step-by-step explanation:

Let w represent employee's weekly sales and E(w) 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 (10)/(100)*w=0.10w

E(w)=450+0.10w

Therefore, the function E(w)=450+0.10w models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute E(w)=570 in our formula and solve for w as:

570=450+0.10w

570-450=450-450+0.10w

120=0.10w

0.10w=120

(0.10w)/(0.10)=(120)/(0.10)

x=1200

Therefore, the amount of employee's weekly sales was $1200.

The diameter of a circle is 21 inches. Find the area of the circle. (Use 22/7 as the approximation of pi.)

Answers

Step-by-step explanation:

Area of a circle is pi times r-square

\pi \: {r}^(2)

So...

(22)/(7) * (21)/(2) * (21)/(2) = \frac{22 * {21}^(2) }{28}

Do the rest yourself, my calculator and pen are not handy.Sorry

Julián invito a sus amigos a comer una pizza. Él comió 2/8 del total. Juan comió el doble que Julián y mica comió la mitad de lo que comió juan. a- ¿Cuántas porciones tenía la pizza? b- ¿Cuántas comió Julián? c- ¿Cuántas comió juan? d- ¿y Mica? e- ¿Cuántas porciones sobraron? f- Demuestra con un gráfico tus respuestas.

Answers

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 x, y, z las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:

x+y+z=1(1)

(i)Julián comió 2/8 del total:

x = (2)/(8)(2)

(ii)Juan comió el doble que Julián:

z = 2\cdot x(3)

(iii)Mica comió la mitad de lo que comió Juan:

y = (1)/(2)\cdot z(4)

Al aplicar (2) en (3), tenemos que Juan comió:

z = (4)/(8)

Y ahora se aplica el resultado anterior a (4):

y = (1)/(2)\cdot (4)/(8)

y = (2)/(8)

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.

Find the square (2m-8)^2

Answers

The value of expression is,

⇒ (2m - 8)² = 4m² - 24m + 64

What is Quadratic equation?

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

Learn more about the quadratic equation visit:

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(2m - 8)²
(2m - 8)(2m - 8)
2m(2m - 8) - 8(2m - 8)
2m(2m) - 2m(8) - 8(2m) + 8(8)
4m² - 16m - 16m + 64
4m² - 32m + 64

H(t)=-16t^2+24So I have to find how long (in seconds) it will take a tool to fall to the ground from a height of 24 feet. I am using the equation h(t)=-16t^2+24 to find it but I'm not sure how to solve it or where to even get started! Any help would be great thank you!

Answers

when h(t)=0, it hits the ground

solve
0=-16t^2+24
factor out -8
0=-8(2t^2-3)
we know that
0=2t^2-3 since factors have to multiply to 0
add 3 to both sides
3=2t^2
divide both sides by 2
1.5=t^2
sqrt both sides
1.2247=t

after about 1.2247 seconds it will hit the ground

In Andrew’s Furniture Shop, he assembles both bookcases and TV stands. Each type of furniture takes him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.

Answers

Answer:

  • 6 bookcases
  • 12 TV stands

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.

Setup

If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...

  maximize 60x +100y

  subject to ...

  • x + y ≤ 18
  • 20x +40y ≤ 600

Solution

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 ...

  • 6 bookcases
  • 12 TV stands

Final answer:

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.

Explanation:

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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