Answer:

Step-by-step explanation:
We can find the total amount of ways at least a woman receives a coupon by calculating the total amount of possibilities ot distribute the coupon and substract it to the total amount of possibilities to distribute 10 coupons to the 15 men (this is the complementary case that at least a woman receives a cupon).
- The total amount of possibilities to distribute the coupons among the 20 shoppers is equivalent to the total amount of ways to pick a subset of 10 elements from a set of 20. This is the combinatiorial number of 20 with 10, in other words, 
- To calculate the total amount of possibilities to distribute the coupons among the 15 men, we need to make the same computation we made above but with a set of 15 elements instead of 20. This gives us
possibilities.
Therefore, we have
possibilities to distribute the coupons so that at least one woman receives a coupon.
I hope that works for you!
Answer:
- amberjack, 21 lbs
- kingfish, 42 lbs
- white marlin, 84 lbs
- tarpon, 105 lbs
Step-by-step explanation:
Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...
- k = 2a
- m = 2k
- t = 5a
- k + a + m + t = 252
Using substitution, we can rewrite the last equation as ...
... (2a) + (a) + 2(2a) + (5a) = 252
... 12a = 252 . . . . . collect terms
... a = 21 . . . . . . . . .divide by 12
Then k = 2a = 42; m = 2k = 84; t = 5a = 105.
Answer:
a+15=x
Step-by-step explanation:
Austin is represented as variable a, and you have 15 more cards.
x is your amount of cards
Answer:
Lesser x = -9
Greater x = 9
Step-by-step explanation: