The work become much simpler if you do it in a table. Hope this helps!!
Number of game tokens is the label on x-axis.
<u>Step-by-step explanation</u>:
The equation is y = 0.5x + 3
Given,
- Admission charge = $3
- Cost of game token = $0.5 per game.
Total cost = admission charge + cost for number of game token
where,
- y represents the total cost
- x represents the number of game tokens.
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Choice 1
Choice 1 and 3 shows parallel, choice 2 and 4 shows perpendicular. So cross out choices 2 and 4. We’re left with choices 1 and 3. I would go with choice 1 since choice 3 shows RAY A is parallel to RAY B, which isn’t true, they’re not parallel.
Answer:
A.77
Step-by-step explanation:
The line makes 180 and one side is 103 so you subtract 103 from 180 to make it equal
