<u>Answer</u>
101
<u>Explanation</u>
Let the first term of the sequence to be a.
1st term = a
2nd term = a+1
3rd term = a+2
4th term = a+3
5th term =a+4
a+(a+1)+(a+2)+(a+3)+(a+4)=505
5a+10=505
5a=505-10
5a=495
a=99
3rd term = a+2
=99+2
= 101
Answer:
Step-by-step explanation:
Let x be the cost of 1 shirt and y be the cost of 1 scarf.
Since, 3 shirts and 2 scarves cost $94, we have,
3x + 2y = 94
Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.
If t is the cost of 1 scarf, then
3x + 2t = 94
3x = 94 - 2t
x = 
For different values for t, we will get different values for x.
Set t = 2.
Then, x = 
= 
= 
= 30
So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.
The sides of a rhombus are equal length, so you have
... 5x + 20 = 6x + 10
... 10 = x . . . . . . . . subtract 5x+10
Then the side lengths are
... 5·10 +10 = 70