Answer:
Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
Given : Samantha has a shelf that is 95 over 4 inches wide.
To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?
Solution :
The thickness of shelf =
inches
Each book thickness =
inches
Let the total number of books that could be arranged in the shelf be 'n'.

Substitute the values,




Therefore, option 1 is correct.
19, because the number of books is 95 over 4 divided by 5 over 4
240 for # 2 because 6 times 4 times 10 is equal to 240
I am still working on others
Answer:
20
Step-by-step explanation:
Convert 80% into a decimal and multiply by 25
Convert 80% into a decimal form: 0.8
Multiply 0.8 by 25 = 0.8 x 25
Simplify 0.8 x 25
=20
Sorry if this answer is incorrect!
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
Answer:

Step-by-step explanation:
divide each by x