A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

Now that we have converted to grams, let's add the weight to get the total gross weight:

So the gross weight of the package is
7.675 kg.
b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

Now we know that the total cost of shipping, in dollars, is equal to
$5.68.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
y = 300
x = 200
Step-by-step explanation:
Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:
x + y = 500
10*x + 20*y = 8000
Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.
El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:
x = 500 - y.
Ahora podemos reemplazar eso en la segunda ecuación y obtener:
10*(500 - y) + 20*y = 8000.
Ahora resolvemos esto para y.
5000 - 10*y + 20*y = 8000
10*y = 8000 - 5000 = 3000
y = 3000/10 = 300.
Y sabíamos que:
x = 500 - y = 500 - 300 = 200
Entonces la solución es:
y = 300
x = 200
-3x + 6y + 5 = -7
<u> -5 -5</u>
-3x + 6y = -12
-3x + 3x + 6y = -12 + 3x
<u>6y</u> = <u>-12 + 3x</u>
6 6
y = -2 + 1/2x
-3x + 6(-2 + 1/2x) = -12
-3x - 12 + 3x = -12
-3x + 3x - 12 = -12
0x - 12 = -12
<u> +12 +12</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-3(0) + 6y = -12
0 + 6y = -12
<u>+0 +0</u>
<u>6y</u> = <u>-12</u>
6 6
y = -2
(x, y) = (0, -2)
Answer:
x=-3/7 and y=_23/7
Step-by-step explanation:
y=-4x-5 and y=3x-2
using comparison method
-4x-5=3x-2
-4x-3x=-2+5
-7x=3
x=3/-7
substituting the value of x
y=3x-2
=3×(-3/7)-2
=-9/7-2
=-9-14/7
=-23/7