Answer: c 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee
Step-by-step explanation:
Let x = Number of pound of first king.
y= Number of pound of second kind.
As per given , we have
substitute value of y from (i) in (ii), we get
Put this in (i), we get y= 20-8 = 12
Hence, he should blend 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee.
So the correct option is c.
The symbol between the x and 2y is missing. If it is a plus sign, then
Anything parallel to x+2y = 4 is going to be of the form x+2y = C where C is some fixed number. The left side stays identical and unchanged. To find the value of C, we plug in (x,y) = (0,0). So replace x with 0 and replace y with 0
x+2y = C
0+2*0 = C
0 + 0 = C
0 = C
C = 0
So the equation of the parallel line is x+2y = 0
Again this is all hinged on the assumption that there is a plus sign between x and 2y
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If the symbol between the x and 2y is a minus sign then
Anything parallel to x-2y = 4 is in the form x-2y = C where C is a constant
Plug in (x,y) = (0,0)
x-2y = C
0 - 2*0 = C
0 - 0 = C
0 = C
C = 0
So the parallel equation is x-2y = 0 only if the symbol between the x and 2y is a minus sign.
Answer:
Step-by-step explanation:
Lets assume that a sphere with greater radius = R = 5cm
And a sphere with smaller radius = r = 4cm
Volume of a sphere = 4/3 π * r³
To find the volume of a sphere with radius 5.
Put the value in the formula.
=4/3π * r³
=4/3π *(5)³
5³ = 5*5*5=125
=4/3π * 125
=4/3 *3.14 *125
=1570/3
=523.3 cm³
Now find the volume of sphere with radius= 4
4/3π*r³
=4/3π * 4³
4³= 4*4*4=64
=4/3*3.14*64
=803.84/3
=267.9cm³
Now to find the space between the spheres subtract the volume of smaller sphere from the volume of larger sphere.
We can write it as:
Space between the spheres = Volume of larger sphere - Volume of smaller sphere
= 523.3 cm³ - 267.9cm³
= 255.4cm³ ....
74
2
−
(
61
)
(
5
)
+
2
3
−
18
+
16
811
=
5476
−
(
61
)
(
5
)
+
2
3
−
18
+
16
811
=
5476
−
305
+
2
3
−
18
+
16
811
=
5171
+
2
3
−
18
+
16
811
=
5171
+
8
−
18
+
16
811
=
5171
+
−
10
+
16
811
=
5161
+
16
811
=