Answer:

Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2



---- Equation 4
Add Equation 4 to Equation 3



Divide both sides by 2



Substitute
in Equation 2 and 3
----- Equation 2

Subtract 8.3 from both sides



----- Equation 3

Subtract 8.3 from both sides



So, we have that



The question states that the 4th tower is made up of the three shapes;
This implies that;



The height of the 4th tower is 23.9cm
let's set up an equation:
x-4=9
solve normally:
x=13
Step-by-step explanation:
since it is in the same line as DE, both have the same slope.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and so by using the coordinates of D and E
x changes by +4 (from 8 to 12).
y changes by -8 (from 32 to 24).
the slope is therefore
-8/+4 = -2
Answer:
96 meatballs are required
Step-by-step explanation:
We know that the formula for he catering business is

Where
c= the number of children, m=the number of meat balls, a= the number of adults
So if
and
then



Finally 96 meatballs are required for the party