The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is: 
<u><em>Explanation</em></u>
Number of right answers is 
and number of wrong answers is 
Olga earns 12 points for each right answer and loses 4 points for each wrong answer.
So, total points earned for right answers 
and total points lost for wrong answers 
That means, <u>her score will be</u>: 
points.
In order to win the quiz contest, Olga must score <u>more than 400 points</u>. So, the inequality will be.......
Answer:
A = $ 262.81
Step-by-step explanation:
Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ 
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83
A sequence of transformations maps triangle ABC into triangle A’B’C
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➷ a) (1)^2 + 20 = 21
(2)^2 + 20 = 24
(3)^2 + 20 = 29
b) (5)^2 + 20 = 45
(6)^2 + 20 = 56
There are 5 terms less than 50
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