Answer:
35 tickets at $35, 72 tickets at $25
Step-by-step explanation:
x+y=107 -> 5x+5y=535
45x+25y=3375
simplify, divide by 5 to get
9x+5y=675
Substract
9x+5y=675
- 5x+5y=535
4x=140 -> x=35
y=107-35 = 72
3x-4 = 6x-10
-4=6x-3x-10
-4=3x-10
-4+10=3x
3x=6
x=2
area of a circle = πr², where r = the radius of the circle
We can rearrange the formula to solve for r:
![r=\sqrt{\frac{\mathrm{area}}{\pi}}.](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cfrac%7B%5Cmathrm%7Barea%7D%7D%7B%5Cpi%7D%7D.)
Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:
![r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cfrac%7B%5Cmathrm%7Barea%7D%7D%7B%5Cpi%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Ctextrm%7B1017.36%20%7D%5Cmathrm%7Bin%5E2%7D%7D%7B3.14%7D%7D%20%5C%5C%20r%20%3D%2018%20%5Ctext%7B%20%7D%20%5Cmathrm%7Bin%5E2%7D.)
Complete question is;
Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be picked, but for this exercise, pick 1 as the lucky number. What proportion of the time do you win?
Answer:
10%
Step-by-step explanation:
We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.
This means the total number of single digits that could possibly be a winning one is 10.
Since we are told that only 1 can be picked, thus;
Probability of winning is; 1/10 = 0.1 or 10%
0.7777777778
there you go your welcome