Answer:

Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
= 
Answer:
(-10)²= -10 × -10 = 100
Step-by-step explanation:
When any number is squared whether it is positive or negative, the result will always be positive:
Anything squared means the number multiplied by itself:
So:
(-10)²= -10 × -10 = 100
Answer:
(0,-2)
(2,-1)
(4,0)
Step-by-step explanation:
The points are the above ones.
Answer:
7x+ 5y <= 10
Step-by-step explanation:
As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.
It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.
On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.
Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is
7x+ 5y <= 10