Answer:
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Step-by-step explanation:
A child ticket costs c and an adult ticket costs a = c + 1.
21 children pay c dollars each for admission, and
3 teachers pay c + 1 dollars each for admission.
Thus,
21c + 3(c + 1) = $105, and
21c + 3c + 3 = $105, so that:
24c = $102
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Answer:
26x-67-x²
Step-by-step explanation:
We are given

Expanding (x-8)²=x²-16x+64
10x-3-(x²-16x+64)
10x-3-x²+16x-64
26x-67-x²
4(6x+4)-5(3x-6) First you distribute 24x+16-15x+30 then you add like terms so 24x-15x is 9x. 16+30 is 46. So the answer is 9x+46
Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is



The slope of line AB is
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD = 
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
Slope of line CD is
, it means the line must be of the form

Coefficient of x is
only in option a.
Therefore, the correct option is a.