9514 1404 393
Answer:
Step-by-step explanation:
Variables are defined in the problem statement.
x + y ≥ 20 . . . . . . . . at least 20 tickets were sold
14x +12y ≤ 420 . . . . sales were at most $420
Answer:

Step-by-step explanation:
The area of trapezoid is given by the formula:

Where
A is the area
b_1 is base 1
b_2 is base 2, and
h is the height
Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.
The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:

Now, area of semicircle is:

Where
A is the area
r is the radius
Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:

Total area of the figure is 
Answer:
it should be d.
Step-by-step explanation:
volume of a cone = π x r² x h
volume = π x 4.5² x 3.5
volume = π x 70.825
volume = 222.66 cubic metres
Let the Addison's candy count be a and Ronny's be r.
Then a = r - 15. This is an equation.
If you had a second equation, you could replace a with the expression (r - 15), which in itself is not an equation.
Let t = the number of days the mouse travels
Let D = the distance that the mouse traveled
The mouse travels at a rate of 1.5 miles per day, so R = 1.5 mi/day
The equation is:
Distance (D) = Rate (R) x Time (t)
SO:
Distance (D) = 1.5 mi./day X Time (t)