This can be solved by creating a system of equations.
x + y = 254
12.5x + 10y = 2745
We can then use substitution to solve the system.
x = 254 - y
12.5(254-y) + 10y = 2745
3175 - 12.5y + 10y = 2745
-2.5y = -430
y = 172
Finally, we can use that answer to solve for x.
x + 172 = 254
x = 82
So, there were 82 of the lower box tickets sold and 172 of the upper box tickets sold.
Answer:
The x-intercepts are: -0.5 and 2.
Step-by-step explanatio
Answer:
Continuous
Step-by-step explanation:
Answer:

Step-by-step explanation:
This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula
. Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.
Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium = 
Here,
and
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.


CE = 
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE = 
= 
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²