C + b = 72......because the is a total of 72 cans and bottles
1c + 2b = 92.....because each can is worth $ 1 and each bottle is worth $ 2....c is the number of cans and b is the number of bottles...and she collected $ 92
so ur system is :
c + b = 72
1c + 2b = 92
Answer:
Step-by-step explanation:
- Two triangular ends
- Area of one = 1/2 b * h
- b =1.2
- h =0.9
- Area = 1/2 * 1.2 * 0.9 = 0.54 sq meters
- Area of 2 = 2 * 0.54 1.08
Area bottom
- L = 3.5 m
- w = 1.2
- Area = L * W
- Area = 3.5 * 1.2
- Area = 4.2
Area Back
- L = 3.5
- W = 0.9
- Area = 3.5 * 0.9
- Area = 3.15
Area Slanted piece
- L = 3.5
- w = 1.5
- Area = L * W
- Area = 3.5 * 1.5 = <u> 5.25</u>
Total = 5.25 + 3.15 + 4.2 + 1.08 = 13.68
Dave buys the book for $6, that leaves him with $3, Dave has to buy two cards that each cost $1.5 at most in order to buy the same card for each friend.
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
