Write an inequality to represent the situation. Twelve times a number increased by four is no more thsn twenty-three.
2 answers:
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Answer:
The no. of possible handshakes takes place are 45.
Step-by-step explanation:
Given : There are 10 people in the party .
To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?
Solution:
We are given that there are 10 people in the party
No. of people involved in one handshake = 2
To find the no. of possible handshakes between 10 people we will use combination over here
Formula :
n = 10
r= 2
Substitute the values in the formula
No. of possible handshakes are 45
Hence The no. of possible handshakes takes place are 45.
The lines have equal gradients;
m
Equation of line 2;
y=mx+c
y=
x+c
-15=
+c
c=-11
y=4/5x-11
m
Equation of line 2;
y=mx+c
y=
-15=
c=-11
y=4/5x-11