If 50% is 10 what is 75%
2 answers:
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Answer:
The price of a senior ticket is $12.
Step-by-step explanation:
Given:
Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.
Now, to get what is the price of a senior ticket.
Let the senior ticket be and the child ticket be
:
So, according to question
.........(1)
...........(2)
Now, we have system of equations:
Multiplying the equation (2) by -2 we get:
.......(3)
Now, adding the equation (3) and (1) the variables and the numbers:
Dividing both sides by -7 we get:
Putting the value of y in equation (2) we get:
On solving the equation we get:
.
Therefore, the price of a senior ticket is $12.
Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ =
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ =
=
=
=
=
=
= ×
= 6 → A