Answer:
24 combinations
Step-by-step explanation:
For this problem, you use factorials. Factorials are when you multiply every number below it except zero. So like the factorial of 3 or 3! is 3*2*1 is 6.
Factorials are used to figure out how many combinations there are of something. So for you, we have 4 different quadrants so we write that as 4! (! is the sign for factorials.)
By the way, welcome to brainly.
Answer:
(P,O)(M,N)(M,P)(N,O)
Step-by-step explanation:
brainliest pleeez
Answer:
(-1, 6)
Step-by-step explanation:
The midpoint of a line segment is effectively the point that lies halfway between two pairs of coordinates on a line. The coordinates we're concerned with here are (-4, 10) and (2, 2). So first think about what is halfway between -4 and 2 (or you can add -4 and 2 then divide by 2) and do the same with 10 and 2. This will give you (-1, 6).
Answer:
92 attendees had activity cards
Step-by-step explanation:
Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...
7x +10(130 -x) = 1024
7x +1300 -10x = 1024 . . . . eliminate parentheses
-3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300
x = 92 . . . . . . divide by 3
92 students with activity cards attended the dance.
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<em>Comment on the solution</em>
Often, you will see such a problem solved using two equations. For example, they might be ...
Let 'a' represent the number with an activity card; 'w' the number without. Then ...
- a+w = 130 . . . . the total number of students
- 7a +10w = 1024 . . . . the revenue from ticket sales
The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...
w = 130-a
and making the substitution into the second equation gives ...
7a +10(130 -a) = 1024
This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.
