Change them into improper fractions
and then find a common denominator, then minus, add, whatever for each one
Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards
Hello from MrBillDoesMath!
Answer:
b2 = 5
Discussion:
A = 1/2 h (b1 + b2)
.
Substituting A = 16, h = 4, and b1=3 in the above formula gives:
16 = (1/2) (4)( 3 + b2) => (as (1/2)4 = 2) )
16 = 2 ( 3 + b2) => (divide both sides by 2)
8 = (3 + b2) => (subtract 3 from both sides)
8-3 = b2 =>
5 = b2
Check Area formula:
Does A = 16 = (1/2)(4)(3+5) ?
Does 16 = (1/2) (4)(8) ?
Does 16 = (1/2)(32) ? Yes it does so our calculation for b2 is correct
Thank you,
MrB
Answer:
22 tickets
Step-by-step explanation:
I assume you're asking about question 2
To find a fraction of a whole number you divide by the bottom number and multiply by the top number. If 2/3 are kids tickets then 1/3 are adult tickets so you divide by 3 and multiply by 1
