Answer:
Youth ticket = $21
Adult ticket = $39
Step-by-step explanation:
We'll call adult tix x and child tix y. Based on the information given, we can make these two equations:
7x + 12y = 525
x - y = 18
Start by putting x in terms of y with that second equation
x = y + 18
Then substitute that into the first equation:
7(y+18) + 12y = 525
Then solve for y
7y + 126 + 12y = 525
19y = 399
y = 21
If we want the adult price as well, we know
x - 21 = 18
x = 39
Checking the math:
7(39) + 12(21) = 273 + 252 = $525
For this case we can observe both functions in the graph.
Both functions are a straight line.
Since the function is the same then the solution for the equation f (x) = g (x) is:
x that belongs to all real numbers. NOTE: see graphic.
If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.
Answer:
$6.50 per candle
Step-by-step explanation:
19.50 / 3 = 6.50
Answer:
y = -3x + 11
Step-by-step explanation:
To find the equation of the line we would plug in the given info into the point slope equation:
In this case (x1, y1) is (4, -1) and m is -3:
y - (-1) = -3(x - 4)
We can simplify as follows:
y + 1 = -3x + 12
y = -3x + 11