Here is a frustum of a cone. The diagram shows that the frustum is made by removing a cone with height 3.4 cm from a solid cone with height 6.8 cm
and base diameter 7.6 cm.
3.4cm The frustum is joined to a solid hemisphere of diameter 7.6 cm
to form the solid S shown here. Solid S
The density of the frustum is 2.3g/cm
The density of the hemisphere is 4.6g/cm
3.4cm
3.4cm
Calculate the average density of solid S.
-7.6cm
-7.6cm
Your final line must say, Average density = ... g/cm

Total marks: 5

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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