Skipper follows a path along the grid shown, always moving either up orto the right. How many paths from A to C do not pass through B?
Answers
We can use complementary counting. First we can count ALL the ways we can get from A to C. Then we can count the ways we can get from A to C, where we DO pass through B. Then we do the total minus the number of ways we DO pass through B. Number of TOTAL ways from A to C. First we can imagine fake, dotted lines around the top left and bottom right "corners" so we can make a complete square. Once we have this "complete" square with the dotted line corners, we can easily find the number of paths from A to C. It is just = 70. If you don't know how this was derived, just comment. HOWEVER, of the 70 paths we just counted, 2 of them are not possible using the original picture. Remember those dotted corners we drew? We cannot create paths using those corners; they were just there so we could use a formula. So, we actually have 70-2 = 68 total paths. Now we find the number of paths from A to C that DO pass through B. Well, first we have to find the number of paths from A to B and then from B to C. This will guarantee we move through B. From A to B, there is ways. From B to C, there is also ways. 6*6 = 36
68-36 = 32 FINAL ANSWER
The table shows the cost of different numbers of yards of the material that Marnie wants to buy
Answers
easy divide the $ by the yards then multiply the number of $ to the amount needed ;D
What is ?5*1 3/5 A.5 2/5 B. 5 3/5 C. 8 D. 15
Answers
Change the mixed number to an improper fraction: =
=5 × = =8
Answer is C. 8
What is $9 ; 10 percent increase
Answers
For this case we can make the following rule of three: $ 9 ---------------> 100% x -----------------> 110% From here, we must clear the value of x: We have then: Answer: $ 9 plus 10% increase results in:
first you turn the % into decimal (.10) then you multiply .10 by 9 (.90) if its increase you add .90 to 9$ (9.90$) the final answer is 9.90$ :)
If Tim and Terry started to run in opposite directions with the speeds of 90 feet per minute and 11 feet per minute respectively, how far away from each other will they be in 18 minutes?
Answers
90x18=1620 11x18=198 1620+198=1818
After 18 minutes Tim and Terry will be 1818 feet away from each other.
Answer:
1818
Step-by-step explanation:
Its correct
Math 6. Can anyone help me with this writing and solving equation as soon as possible?A CD costs $14.95. This is $7.55 less than the cost of a DVD. Write and solve a subtraction equation to find the cost of the DVD.
Answers
if the CD is $14.95, you subtract $7.55 from the $14.95 and your answer would be $7.40