A theater is selling tickets to a play. Adult tickets cost $8 each and children's tickets cost $5 each. They collect $275 after
2 answers:
Answer:
30 adult's tickets were sold and 7 children's ticket were sold.
Step-by-step explanation:
We are given the following information in the question:
Cost of Adult's tickets = $8
Cost of Children's ticket = $5
Total money collected = $275
Let x be the number of adult's tickets sold and y be the number of children's ticket sold.
Then, we can write this in the form of equation:
The point (30,7) means that 30 adults ticket were sold and 7 children's ticket were sold.
Putting these value in the equation:
which is true.
Thus, 30 adult's tickets were sold and 7 children's ticket were sold.
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Option B:
The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.
Solution:
Given expression:
To find the equivalent expression for the given expression.
Apply absolute value rule:
<em>If |x| ≤ m then -m ≤ x ≤ m.</em>
⇒ -5 ≤ a ≤ 5
⇒ -5 ≤ a and a ≤ 5
Switch the sides, we get
⇒ a ≥ -5 and a ≤ 5
The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.
Option B is the correct answer.