Crane Company reports the following for the month of June.

I will designate the hourly rate for weekdays as x and for weekends as y. The equations are arranged as follows:

13x + 14y = $250.90
15x + 8y = $204.70

This gives us a system of equations which can be solved by multiplying the first equation by 4 and the second by -7. This leads to:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

By summing these two equations, we arrive at:

-53x = -$429.30 --> 53x = $429.30 --> (dividing both sides by 53) x = 8.10. This represents her hourly wage on weekdays.

Substituting our value for x allows us to determine y. I will utilize the first equation, but either could work.

$105.30 + 14y = $250.90. To isolate y, subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Thus, we find that her earnings are $8.10 per hour on weekdays and $10.40 per hour on weekends. The difference shows she earns $2.30 more on weekends than on weekdays.

Detailed explanation:

Question 4 provides clear information,

thus resolving Question 4:

1 euro equals $1.17.

Consequently, €20.46 is calculated as 20.46 multiplied by 1.17, which equals $23.93.

1 pound equals $1.28.

Thus, £12.60 translates to 12.60 multiplied by 1.28, yielding $16.128.

Therefore, the MP3 in pounds is $7.81 cheaper in dollars.

Answer:

D

Step-by-step explanation:

it represents entire F as shown in the diagram

Answer:

Translate the circles so they align at a common center and subsequently enlarge circle Y using a scale factor of 3 ⇒ 3rd answer

Step-by-step explanation:

* Let's describe how to approach this problem

- To establish that all circles are similar, a translation and a dilation factor are necessary to align one circle with another

- We can reposition the circles to coincide at the center and then expand one of the circles by the defined scale factor, with the center of dilation being the common point for all circles.

* Let's resolve the issue

∵ Circle X displays a radius of 6 units

∵ Circle Y has a radius of 2 units

- Initially, we shift the circles so they coalesce at a central point

∴ We utilize translation to place the centers of both circles at the same location

- Determine the dilation factor based on the different radii of the circles

∵ The radius of circle X measures 6 units

∵ The radius of circle Y measures 2 units

∴ Therefore, the scale factor is calculated as 6/2 = 3

∴ Enlarge circle Y by a scale factor of 3

* The actions that affirm the circles are similar are as follows;

  Translate the circles so they share a common center point, and

  enlarge circle Y by a factor of 3.

Respuesta:

El salario mensual de Koffi: $3500 ($42000 anuales)

Salario mensual de Pete: $4416.7 ($53000 anuales)

Salario mensual de Pat: $8750 ($105000 anuales)

Explicación paso a paso:

Sea x el salario anual de Pat

Sea y el salario anual de Pete

Sea z el salario anual de Koffi

Según el enunciado, sus salarios anuales suman $200000 es decir, x + y + z= $200000

Pete gana $11000 más que Koffi anualmente, lo que significa que y = $11000 + z

Pat gana $1000 menos que el doble (×2) del salario anual de Pete, es decir, x = 2y - $1000

Así, tenemos 3 ecuaciones:

(1)..... x + y + z= $200000

(2).... y = $11000 + z

(3).... x = 2y - $1000

Primero, sustituimos y en la ecuación (3), es decir,

x = 2(11000 + z) - 1000

x = 22000 + 2z - 1000

x = 21000 + 2z............ (4)

Luego incorporamos las ecuaciones (4) y (2) en la ecuación (1) para encontrar z:

x + y + z = 200000

21000 + 2z + 11000 + z + z = 200000

4z + 32000 = 200000

4z = 200000 - 32000

4z = 168000

z = 42000

Así que z (salario anual de Koffi) es de $42000.

Para conocer y, sustituimos z en la ecuación (2).

y = 11000 + z

y = 11000 + 42000

y = 53000

Por lo tanto, y (salario anual de Pete) es de $53000

Para hallar x, sumamos $42000 y $53000, y restamos de $200000 es decir, 42000 + 53000 = 95000

200000 - 95000 = 105000

Por lo tanto, x (salario anual de Pat) es de $105000.

Para obtener el salario mensual de cada individuo, dividimos su salario anual entre 12:

Koffi (z) = 42000/12 = $3500

Pete (y) = 53000/12 = $4416.7

Pat (x) = 105000/12 = $8750