Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
Answer:
A = 80g B = 200g
Step-by-step explanation for A:
First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.
Step-by-step explanation for B:
You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.
Answer: 13.92
Step-by-step explanation: 8x4 then 8x2
zero the hero
5x4 then 5x2
lastly add
23) x = = -6.666.
24) x = = -1.7142.
25) x = = -7.4.
Step-by-step explanation:
Step 1; For = , we cross multiply the denominators and get,
3 × (x + 4) = 12 × (x + 6),
3x + 12 = 12x + 72.
We take all the x terms to the LHS and keep the constants on the RHS.
3x - 12x = 72 - 12,
-9x = 60, x = = -6.6666.
Step 2; For = , we cross multiply the denominators and get,
-5 × (x + 12) = 9 × (x - 4),
-5x - 60 = 9x - 36.
We take all the x terms to the LHS and keep the constants on the RHS.
-5x - 9x = -36 + 60,
-14x = 24, x = = -1.7142.
Step 3; For = , we cross multiply the denominators and get,
6 × (x - 8) = 11 × (x - 1),
6x - 48 = 11x - 11.
We take all the x terms to the LHS and keep the constants on the RHS.
6x - 11x = -11 + 48,
-5x = 37, x = = -7.4.
Answer: B
Step-by-step explanation:
Every real is solution of the equation .