Use long division to find a repeated decimal equivalency for the fraction. Include all of your work as part of your final answer

Answer:

100x + 120y = z

z = $63000

Step-by-step explanation:

Product               Welding          Assembly       Painting                Contribution to profit

X                              2x hours            3x hours          1x hour          =        $100x

Y                              3y hours            2y hours          1y hour        =       $120y

                                                                                               

Total hours          1500 hours        1500 hours     550 hours

available

X is defined as product X

Y is defined as product Y

2x + 3y = 1500

x + y = 550

y = 550 - x

2x + 3(550 - x) = 1500

2x + 1650 - 3x = 1500

150 = x

y = 550 - 150

y = 400

Objective Function Z = 100x + 120y

Z = 100(150) + 120(400)

Z = 15000 + 48000

Z = $63000

Answer:

-45 degrees

Step-by-step explanation:

35,000 ÷ 1000 = 35, indicating that for every 1,000 feet gained, the temperature decreases by 35 times. 35 × 2 = 70. Thus, as you rise in altitude, the temperature drops by 70 degrees. 25 - 70 = -45. Starting from a temperature of 25, you deduct the temperature loss.

For the circle centered at X, as illustrated:

Draw a diameter that runs parallel to chord AB, as depicted in the figure.

Given that the diameter and AB are parallel, the line segment XC, which intersects AB at midpoint C, will be at a right angle to AB.

Thus, triangle XCB forms a right triangle. Consequently, using the Pythagorean theorem, the length of CX is

units.


The answer is: 8 units

Answer:

a) Permutaciones

b) combinaciones

Step-by-step explanation:

a)

Dado que el orden de las 15 obras de arte más importantes es relevante, comenzando por la más popular y luego las que ocupan los lugares 2, 3, 4, y así sucesivamente. Cuando nos ocupamos del "orden de colocación", el tema se refiere a permutaciones.

b)

De un total de 320 obras, se deben "seleccionar" 125 para ser exhibidas, el proceso de selección implica combinaciones en las que el orden de la selección no importa.