To solve this, follow these steps:
5x + 27 = 9 (x+3) - 4x
Distribute the 9 within the parenthesis:
5x + 27 = 9x + 27 - 4x
Then combine like terms:
5x + 27 = 5x + 27
These two then cancel each other out completely.
This is an identity because an identity in math is when both equations equal each other, which is shown above.
Hope this helps!
Answer:
462 ways
Step-by-step explanation:
The formula to use in solving this problem is given as the Combination formula
The Combination formula is given as
C(n , r) = nCr = n!/r! (n - r)!
We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks
n = 12, r = 6
In order to ensure that at least 1 food bank gets 1 pie, we have:
n - 1 = 12 - 1 = 11
r - 1 = 6 - 1 = 5
Hence,
C(11, 5) = 11C5
= 11!/ 5! ×(11 - 5)!
= 11!/5! × 6!
= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)
= 462 ways
in the first half he would have swam 1 km. there are 1000m in a km so 1000/200=5 so he swam the first 200 fly, then a 200 breast, then a 200 fly again, then another 200 breast the finish the first 1 km with a 200 fly. so we switched strokes 4 times.
PS i wouldn't recommend doing a 2 km swim fly and breast
The answer to your question is 114
