Answer:
- not possible: 1, 2, 4, 5, 8, 11
- possible: all others
Step-by-step explanation:
Obviously, all multiples of 3 and 7 can be paid.
1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.
Amounts that are impossible:
1, 2, 4, 5, 8, 11 cents
All other positive integer amounts are possible.
First put these in order from least to greatest.
1,2,2,4,8,9,9 is the correct order
Range is when we subtract the greatest value of our data set from the smallest so in our case it would be 9-1 which leaves us with our answer that 8 is your range.
Answer:
The combination 9 mm, 6mm, 5mm will not form a triangle.
9 +6 = 15 > 5
6+5= 11 < 9
9+5 =14 > 6
Explanation :
because the side length of triangle does not obey triangle inequality theorem.
The triangle inequality theorem:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
The number of ways are 40320.
Step-by-step explanation:
Consider the provided information.
Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.
We need to determine the number of different ways to put eight cookbooks on the shelf.
We need to select 8 cookbooks taking 8 at a time.
So use the permutation formula: 
Substitute n=8 and simplify.
Hence, the number of ways are 40320.
