Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume


Answer: 6x + 2y
Step-by-step explanation: 4y-2y are both alike terms, so you subtract the two, and then add 6x to it
The simplified form of given expression is 
<em><u>Solution:</u></em>
Given that we have to simplify the expression
<em><u>Given expression is:</u></em>

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket


Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

Combine the like terms


Thus the expression is simplified
Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
Answer:
(6)
Step-by-step explanation:
Since it is an isosceles trapezoid the length of the two legs (i.e. AB = 5y-10 and CD = 2y+8) are equal. In other words,
5y - 10 = 2 y + 8
Subtract 2y from each side:
5y - 2y - 10 = 8
Now add 10 to each side
5y - 2y - 10 + 10 = 8 + 10 =>
3y + 0 = 18 =>
3y = 18 =>
y = 6