Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
The measure of the supplement angle is 63°
Step-by-step explanation:
If two angles are supplementary then the sum of their measures is 180°
The given is:
- Two supplementary angles
- One of them is 9 less than twice its supplement
We need to find the measure of the supplement
∵ The two angles are supplementary
∴ The sum of their measure is 180°
Assume that the measure of the supplement angle is x°
∵ An angle is 9 less than twice its supplement
- twice means times 2 and 9 less means subtract 9
∵ The measure of the supplement is x°
∴ The measure of the angle = (2x - 9)°
∵ The sume of the measures of the two angles = 180°
∴ (2x - 9)° + x° = 180°
- Add like terms
∴ (2x + x) - 9 = 180
∴ 3x - 9 = 180
- Add 9 to both sides
∴ 3x = 189
- Divide both sides by 3
∴ x = 63°
The measure of the supplement angle is 63°
Learn more:
You can learn more about supplementary angles in brainly.com/question/11175936
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Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:


f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.
For this case we have that the variable "k" represents the floor area of Melanie's kitchen.
We have that the floor area of the room is 1.5 times the floor area of the kitchen, then, we propose the following function to find the floor area of the room:

Answer:
Option A and D