(08.06) A matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c)
who saw a movie was 35, and the total money collected was $70. Which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
2 answers:
Answer:
There were 7 adults and 28 children.
Step-by-step explanation:
Let the number of adults who saw a movie that day be 'a'
Let the number of children who saw a movie that day be 'c'
A matinee ticket costs $6 per adult and $1 per child. On a certain day total money collected was $70. We can represent this as :
...... (1)
On a certain day, the total number of adults and children who saw a movie was 35. This can be represented as :
.......(2)
These two equations can be used to solve this question.
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If you want to solve this, we can substitute in (1)
=>
=>
a = 7
And c =
So, there were 7 adults and 28 children.
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Answer:
Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.
For prove refer to the attachment.
Hope this helps you^_^
If all the equations for the directrix are "x = " lines then this is a y^2 parabola. The actual equation is 
. The standard form for a positive sideways-opening parabola is 
. We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation. Our equation has no parenthesis to indicate movement from the origin. The vertex is (0, 0). Got that out of the way. That simplifies our standard form down to 
. Let's take a look at our equation now. It is . We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction. That gives us an equation that looks like this: 
. That means that 4p = 8, and p = 2. p is the distance that the focus and the directrix are from the vertex. Since this is a positive parabola, it opens up to the right. Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex. The formula for the focus is (h + p, k). Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0). Going 2 units to the left of the origin then puts our directrix at the line x = -2. Your choice then as your answer is b.