Answer:
1083 seats
Step-by-step explanation:
this is an arithmetic sequence :
an = an-1 + c
in our case
a1 = 10 (10 seats in the first row)
a2 = a1 + 1 = 10 + 1 = 11
a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12
an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n
a38 = a1 + 37 = 10 + 37 = 47 seats.
altogether this means the sum of the arithmetic sequence of a1 to a38.
the general sum of an arithmetic sequence from a1 to an is
n×(a1 + an)/2
in our case
38×(10 + 47)/2 = 19×57 = 1083 seats
What you need to do is that you plug p=3 into the expression [(5.4p+5)+(8+3.2p)]/2 and you have:
[(5.4*3+5)+(8+3.2*3)]/2
= (21.2+ 17.6)/2
= 38.8/2
= 19.4
The average of the two boys' points is p=3 is 19.4 points~
Answer:
x = 8
Step-by-step explanation:
(please verify) if line segment LM is congruent to line segment PN; then
9x - 25 = 5x + 7; subtract 5x from both sides
4x - 25 = 7; add 25 to both sides
4x = 32; divide by 4
x = 8
Answer:
79 degrees
Step-by-step explanation:
This is because <CBF is equivalent to <GFI
So, we know two angles in that triangle; 55 and 46.
By adding these together we get 101. In a triangle, the angles all add up to 180.
So we must subtract 101 from 180 and we will have that remaining angle.
