Given:
The inequality is
...(i)
The variables a and b are consecutive perfect squares.
To find:
The values of a and b.
Solution:
We know that, perfect square of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...
Clearly, 50 lines between two consecutive perfect square 49 and 64.
...(ii)
On comparing (i) and (ii), we get
Therefore, the values of a and b are 49 and 64 respectively.
Prime numbers are numbers that have only one factor pair; 1 and themselves.
Let's start from 21.
21 = 1 x 21, 3 x 7.
This has two factor pairs, this is not prime.
Let's try 22.
22 = 1 x 22, 2 x 11.
This also has two factor pairs, this is not prime.
Let's try 23.
1 x 23.
This is a prime number, as it only has one factor pair; 1 and itself.
23 is your prime number.
I hope this helps!
Answer:
One pipe drains 140 L/min and the other pipe drains 190 L/min
Step-by-step explanation:
Assume that the pipe which releases less is x L/min
∵ One pipe releases x L/min
∵ Other pipe releases 50 L/min more than it
∴ The other pipe releases x + 50 L/min
∵ Water is being drained out of a tank through these 2 pipes
∵ Water is being drained at rate 330 L/min through them
- Add their rates and equate the sum by 330
∴ x + x + 50 = 330
- Add the like terms in the left hand side
∴ 2x + 50 = 330
- Subtract 50 from both sides
∴ 2x = 280
- Divide both sides by 2
∴ x = 140
∵ x represents the rate of one pipe and x + 50 represents the
rate of the other pipe
∴ One pipe drains 140 L/m
∴ Other pipe drains 140 + 50 = 190 L/min
<span>In a triangle the sum of two sides is always greater than the third side.
9-9 < x < 9+9
0 < x < 18 </span>← answer
B because of the 100 5 are in both so 5/100 is .05