Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
Answer:
5n
Step-by-step explanation:
They are charging 5 dollars per person and n is the number of students. You would multiply 5 by n (the number of students) to see how much money they raised.
C=p(t+30)
Let’s substitute in our values...
c=2(245+30)
Get the sum of what we have in parentheses...
c=2(275)
And finally
c=550
Answer:
10
Step-by-step explanation:
24/3 = 8
8*2= 16
24/4 = 6
16-6=10
Answer:
30 cubic centimeters
Step-by-step explanation:
The edge length given in the question for one cube is 
cm.
We know volume of a cube with edge length 
is calculated as
Thus volume of one cube = 
cubic centimeters
So,
The volume of 810 cubes = 
= 30 cubic centimeters
As the prism is filled with total 810 cubes, so the volume of the prism will be equal to the volume of 810 cubes i.e. 30 cubic centimeters.
