Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
9514 1404 393
Answer:
- Tigers: 8 coaches, 72 players
- Eagles: 16 coaches, 136 players
Step-by-step explanation:
We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...
10t +19e = 232 . . . . . the total of players and coaches in the two clubs
We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."
The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.
The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.
Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.
The Tigers have 8 coaches and 72 players.
The Eagles have 16 coaches and 136 players.
You would do 10x10x10x10x10, so it would be 100,000. So you're correct, nice job!
Answer:
Step-by-step explanation:
When one variable depends on another variable according to a rule it is known as function:
For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x
We have to find x f(x).
x f(x) =?
f(x) = x-4
Now input value is: x= 3
x f(x)
3 (x-4)
3 (3-4)
3 -1
Now x= 4
x f(x)
4 (x-4)
4 (4-4)
4 0
Now x=5
x f(x)
5 (x-4)
5 (5-4)
5 1
Now x=6
x f(x)
6 (x-4)
6 (6-4)
6 2 ....
