Answer:
12 3/8
Step-by-step explanation:
16 -3 5/8 =12 3/8
to check:
12+3=15,
3/8+5/8= 8/8 which =1
so, 15+1=16
Answer:
98.19
Step-by-step explanation:
Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h
Hello!
We know that Isaac played 20 games and won about 70% of them. Now, we must find what 70% of 20 is, so that we know how many games Isaac won.
First, convert the percentage to a decimal by dividing it by 100.
70% ÷ 100 = 0.70
Next, multiply the total amount of games Isaac played (20) by about how many he won (0.70):
20 × 0.70 = 14
ANSWER:
Isaac won about 14 games.
Is it a yardstick? It has 2 ft of the edges and one ft in the middle.
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>
