Solution:
<u>Note that:</u>
- Robert + b = Jack
- Robert = 99 buttons
<u>Substituting the values into the equation:</u>
- Robert + b = Jack
- => 99 + b = Jack
This means that Jack has 99 + b buttons.
D. 2,400 sq. ft. is the closest
1) Convert mixed numbers to improper fractions...
6 1/12 = 73/121 and 11 5/6 = 71/6
2) To get area of one tile, multiply length x width...73/121 times 71/6 = 5,183/72 = 72 sq. in. or 6 sq. ft.
3) 6 sq. ft. times 408 tiles = 2,448 sq. ft.
Answer:
-5+5r-2 -->
--> 5r-7 <--
Explanation --
Distribute from the parentheses, of course excluding the -2 because it isn't involved, and you'll get --> -5 + 5r -2
Simplify by putting the like terms together (subtract) -->
5r -7 (you get -7 by doing -5-2, and you leave 5r by itself since it doesn't have anything more to simplify with or has any other like term)
So, the final, simplified answer -->
5r-7
Hope this helps!! Have a nice day! :)
Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved