Answer:
Adult = 39
Children = 36
Step-by-step explanation:
The total number of people = 75
Cost of adult ticket = $2.75
Cost of children ticket = $2.25
Total receipts = $188.25
Let the number of adult = x
Let the number of children = y
X + y = 75 ......equation (i)
(X × 2.75) + (y × 2.25) = 188.25
2.75x + 2.25y = 188.25.......equation (ii)
To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.
From equation 1,
X + y = 75
X = 75 - y......equation(iii)
Put equation (iii) into equation (ii)
2.75*(75 - y) + 2.25y = 188.25
206.25 - 2.75y + 2.25y = 188.25
206.25 - 0.5y = 188.25
Collect liketerms
0.5y = 206.25 - 188.25
0.5y = 18
Y = 18 / 0.5
Y = 36
Put y = 36 into equation (i)
X + 36 = 75
X = 39
Therefore the number of adult is 39 while that of children is 36.
Using translation concepts, the equation of g(x) is given as follows:

<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

For a reflection in the y-axis, we have to find g(-x), hence:

For a translation of 10 units left, we have to find g(x + 10), hence:

For a translation of 1 unit down, we have to subtract one, hence:

More can be learned about translation concepts at brainly.com/question/28174785
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Answer:
The answer is 1 and 1/12 you can’t simplify the problem but this is the answer
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:

By the distributive property this is equal to:

Hope this helps!