Answer:
please check the attached file for the answer
Step-by-step explanation:
the explanation is in the attached file
Answer:
<u>25 hours</u>
Step-by-step explanation:
It takes 5 men 45 hours to build a wall.
So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],
then time taken reduces by that same amount.
=> 45 hours / 1.8
=> 45 / (9/5)
=> 45 x 5 / 9
=> 5 x 5
=> <u>25 hours</u>
Answer:
35 students
Step-by-step explanation:
70% of 50 = 0.7×50 = 35
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
