Step-by-step explanation:
3x + 5y = 50
x + 5y = 31
use substitution
x = 31-5y
3(31-5y) +5y = 50
93 -15y + 5y = 50
93 - 10y = 50
--10y = -43
y = 43/10 = $4.30 for kids
now solve for x
x + 5(4.30) = 31
x + 21.5 = 31
x = $9.5 for adults
Consider the intergers as, x and x+1
x+(x+1)=31
2x+1=31
2x=30
x=15
So, (x+1)=(15+1)=16 would be larger number.
Answer:
The number of ways are 40320.
Step-by-step explanation:
Consider the provided information.
Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.
We need to determine the number of different ways to put eight cookbooks on the shelf.
We need to select 8 cookbooks taking 8 at a time.
So use the permutation formula:
Substitute n=8 and simplify.

Hence, the number of ways are 40320.
Answer:
10.8 degrees Fahrenheit
Step-by-step explanation:
If it increased by 18%, then multiply 60 * 1.18 to get 70.8, and find the difference.
Alternatively, you can just do 60 * .18 to get the answer directly.