We know the total tickets sold = 400.
Let x be the number of adult tickets sold.
That means 400 - x is the number of student tickets.
The revenue from adult tickets will be $3 * x, which we can call 3x.
The revenue from student ticks will be $2 * (400 - x), or 800 - 2x.
The total revenue is $1050, so that means:
3x + (800 - 2x) = 1050.
Removing the parentheses:
3x + 800 - 2x = 1050
Subtracting 800 from both sides:
3x - 2x = 250
Simplifying the left side:
x = 250, which is the number of adult tickets.
400-x = student tickets = 400-250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!
Answer:
∠CAB ≅ ∠SAB is not true
Step-by-step explanation:
CPCTC means id ABC = XYZ, than A=X, AB=XY, C=Z and so on. Basically the number numbers that come in the same order as the other one is equal.
So ∠CAS ≅ ∠BAS is true but ∠CAB ≅ ∠SAB is not.
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
It’s called the associative law you can add numbers in any order you want
First step is to order the data from least to greatest.
10.5 11 11.5. 14.5 14.5 17 17 18 19
The median (Q2) is the middle number 14.5, this separates the lower half from the upper half. Q1 is the middle of the lower half, since there are an even amount of data, you have to take the average of the two middle numbers, 11 & 11.5, that would be 11.25; now we have to do the same with the upper half to find Q3, the average between 17 & 18 is 17.5
Now to find the IQR, subtract Q3 - Q1,
17.5 - 11.25 = 6.25
IQR = 6.25
The area of a square is A=s^2
We already have the area, so we solve for the side length:
169=s^2
13=s
The perimeter of a square is P=4s
We plug in 13 for s:
P=4(13)
P=52
So the perimeter of the square is 52 m^2
Hope this helped!
