Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.
Answer:
f(–5) = 20, f(0) = 10
Step-by-step explanation:
f(-5):
f(-5) = 2|-5 -5|
f(-5) = 2|-10|
f(-5) = 2(10)
f(-5) = 20
f(0):
f(0) = 2|0 - 5|
f(0) = 2|-5|
f(0) = 2(5)
f(0) = 10
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:

You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:

So:
1. If you add the like terms, you get this equivalent expression:

2. But if you factor out 3, you get the following equivalent expression:

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 
Answer:0.0057
Step-by-step explanation:
You first have to convert the 5 tons to pounds.
Once you have done that step you simply add.