What are each step in the process for solving an equation
1 answer:
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Answer:
The Total number of adults ticket's is 15
The Total number of Senior citizen ticket's is 5
Step-by-step explanation:
Given as :
The total number of movies tickets were bought = 20
The cost of adults tickets = $ 8.00
The cost of senior citizen tickets = $ 4.00
The total money spent on movie tickets = $ 140
Let The total number of adults tickets = A
And The total number of senior citizen tickets = S
Now, According to question
The total number of movies tickets were bought = 20
I.e The total number of adults tickets + The total number of senior citizen tickets = 20
Or, A + S = 20
And $ 8 A + $ 4 S = $ 140 .........1
I.e 8 × ( A + S ) = 8 × 20
Or, 8 A + 8 S = 160 .......2
Solving the equation 1 and 2
Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140
Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20
or, 0 + 4 S = 20
∴ S =
I.e S = 5
So, The number of Senior citizen ticket's = 5
Put The value of S in eq 1
So, 8 A + 4 × 5 = 140
Or, 8 A = 140 - 20
Or, 8 A = 120
∴ A =
I.e A = 15
So, The number of adult's tickets = 15
Hence The Total number of adults ticket's is 15
And The Total number of Senior citizen ticket's is 5 Answer
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
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The rules of logarithms that apply are ...
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<h3>take antilogs</h3>We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
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<h3>solve the quadratic</h3>Adding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.