Answer:
Yes.
2 feet
Step-by-step explanation:
Pieces of copper that Arsenio needs in total = 27 pieces
Length of each piece of copper tubing that he needs = 2/9 foot
Length of available tubing = 8 foot
Since, the length of each piece is 2/9 foot, the length of 27 pieces would be:
This means, Arsenio needs 6 feet in total for the copper tubing. Since he got 8 feet in total, he has sufficient amount of tubing available.
After making the 27 pieces, he will be left with 8 - 6 = 2 feet of tubing.
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:
1+2+3+4+5+6+7+8+9+10
We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.
Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.
(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.
Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).
So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.
Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved
Hope this helps.
Answer:
Step-by-step explanation:
To find this probability, we have to know:
- How many numbers are there in between 5 and 8 inclusive?
- How many total numbers are there?
We simply divide the first answer by the second one and get our probability.
So, the numbers are 5,6,7,8 ----- that is 4 numbers
How many numbers are there in total? That is:
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 ------- 9 numbers
Thus, the probability is 4/9
Answer:
-22 degrees Fahrenheit
Step-by-step explanation:
-3 - 19 = -22
Answer:
8
Step-by-step explanation:
