One student from a high school will be selected at random. Let A be the event that the selected student is a student athlete, an

Response:

b

Detailed explanation:

Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch

The options presented are:

(1) division property of equality

(2) factoring the binomial

(3) completing the square

(4) subtraction property of equality

Response: (2) factoring the binomial

Step 1:

Step 2:

In step 2, 'a' is extracted from . Upon factoring out 'a', we divide all terms by 'a', resulting in .

Step 2 involves the binomial factorization process.

Total time taken = 9.0252 *10^12 s. Step-by-step explanation: Data provided: - Distance from Earth to Alpha Centauri: 4.3 light years. - Distance from Earth to Sirius: 8.6 light years. - Probe speed: V = 18.03 km/s. - 1 AU equals 1.58125 x 10^-5 light-years. Objective: Determine the total time the probe has been in motion from leaving Earth to reaching Sirius. Solution: - Journey is tracked for each destination sequentially:                      Earth ------> Alpha Centauri: d_1 = 4.3 light years                      Alpha Centauri ------> Earth: d_2 =4.3 light years                      Earth ------> Sirius: d_3 = 8.6 light years                      Sum of distances = D = 17.2 light years. - Now, we convert the total distance into kilometers (SI units):                             1 AU  ----------> 1.58125 x 10^-5 light-years                             x AU  ----------> 17.2 light years. - By proportions:                              x = 17.2 / (1.58125 x 10^-5) = 1087747.036 AU. Also,                             1 AU  ---------------------> 149597870700 m                              1087747.036 AU  ----> D m. - Using proportions:                              D =  1087747.036*149597870700  = 1.62725*10^17 m. - Finally, applying the speed-distance-time formula:                               Time = Distance traveled (D) / V                               Time = 1.62725*10^17 / (18.03*10^3). Final answer: Time = 9.0252 *10^12 s.

Answer:

a. La ganancia total es de $ 4,060,000.00

b. 31 vehículos fabricados

Step-by-step explanation:

(a) Los datos suministrados son;

Cantidad de autos tipo sedán producidos = 24

Cantidad de SUV ensamblados = 16

Cantidad de vehículos tipo VAN producidos = 12

Cantidad de pick-ups fabricadas = 8

Cantidad de autos deportivos producidos = 2

Ganancia de los autos sedán vendidos = $ 185,000 - $ 140,000 = $ 40,000

Ganancia por las SUV vendidas = $ 320,000 - $ 250,000 = $ 70,000

Ganancia de los vehículos tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

Ganancia de las pick-ups = $ 285,000 - $ 210,000 = $ 75,000

Ganancia de los autos deportivos vendidos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia total se calcula de la siguiente manera: 24 * $ 40,000 + 16 * $ 70,000 + 12 * $ 90,000 + 8 * $ 75,000 + 2 * $ 150,000 = $ 4,060,000

(b) Debido a que hay una producción constante, solo se completará la mitad del total de automóviles en un lapso de 12 horas

Por lo tanto, se fabrican

12 sedanes, 8 SUV, 6 VAN, 4 pick-ups y 1 deportivo, alcanzando así un total de 31 vehículos.