A y<=3x +2
Step-by-step explanation:
Because is shade under so is small than
Than it is not doted line is a full line so is a equal
So answer is small than or equally to
Answer:
The difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug is <u>42,739,999.999999999.</u>
Step-by-step explanation:
Given:
An environmental scientist estimated the number of drops of water in two different jugs. He estimated that the smaller jug contains 8,060,000.000000001 drops of water and the larger jug contains 50,800,000 drops of water.
Now, to find the difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug.
The smaller jug contains drops of water = 8,060,000.000000001.
The larger jug contains drops of water = 50,800,000.
Now, to get the difference between the number of drops of water we subtract the number of drops of water in the smaller jug from the number of drops of water in the larger jug:
Therefore, the difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug is 42,739,999.999999999.
Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.
First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.
Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:
1, 3, 5, 7, 9, 11, 13, 15 .
Number of items in the set . . . 8
Sum of all the items in the set . . . 64
Hmmm. That's interesting. 64 happens to be the square of 8 .
Do you think that might be all there is to it ?
Let's check it out:
Even-numbered lists of odd numbers:
1, 3 Items = 2, Sum = 4
1, 3, 5, 7 Items = 4, Sum = 16
1, 3, 5, 7, 9, 11 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .
Amazing ! The sum is always the square of the number of items in the set !
For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.
I slogged through it on my calculator, and it's true.
I never knew this before. It seems to be something valuable
to keep in my tool-box (and cherish always).
