Answer:
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.
(8t + 10t) + 55*12t= 300300
18t + 660t = 300300
t = 442.920354
time that number by each ticket type( do not round up). That'll give you each type of tickets sold.
8*442.920354 = 3543.36283
10*442.920354 = 4429.20354
55 *(12*442.920354) = 292327.434
if you add them up = 300300
Answer:
(0,-3) and (5,-2)
Step-by-step explanation:
1. (0,-3)
x = 0, y = -3
-2*x - 3 ≤ y
-2*0 - 3 ≤ -3
-3 ≤ -3 true
y-1 < 1/2*x
-3 - 1 < 1/2*0
-4 < 0 true
The pair (0,-3) is the solution.
2. (-3,-4) is not
3. (-4,-1) is not
4. (0,1) is not
5. (5,-2) is the solution
1.875
Step-by-step explanation:
Step 1 :
Given,
In ΔOPQ,
∠Q=90°,
PO = 17, QP = 8 OQ = 15
Step 2:
We know that the hypotenuse will be the largest side of a triangle.
So in the given triangle PO = 17 is the hypotenuse.
With respect to angle P, OQ represents the opposite side of angle P and PQ will be the adjacent side.
Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.
Step 3 :
So using the above we have,
tangent of angle P = opposite side /adjacent side = 15/8 = 1.875
or 
