Step-by-step explanation:
3( x +1) = 5 (x - 2) + 7
3x + 3 = 5x - 10 + 7
5x - 3x = 3 + 10 - 7
2x = 13 - 7
2x = 6
Therefore x = 3
Answer:
Step-by-step explanation:
Assuming that for each option, you play the same number of games,x
Let y represent the cost of playing x games using option A
Option A is to buy a membership card and pay $2 every time you go to the gym. The membership card costs $20. It means that
y = 20 + 2x
Let z represent the cost of playing x games using option B
Option B is to pay $4 each time you go. It means that
z = 4x
To determine how many games will be played before cost of option A equal to the cost of option B, we would equate y to z. It becomes
20 + 2x = 4x
4x - 2x = 20
2x = 20
x = 20/2 = 10
It will take 10 games for both to be the same
To find x, you divide both sides of the equation by 12.20. This would look like this:
12.20x/12.20 =372.10/12.20 . Then, the answer you get is 30.5, so. X=30.5
Answer:
0.15
Step-by-step explanation:
Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.
====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.
Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = ![\left[\begin{array}{ccc}5\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
× ![\left[\begin{array}{ccc}10\\2&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C2%26%5Cend%7Barray%7D%5Cright%5D)
÷ ![\left[\begin{array}{ccc}15\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 450 ÷ 3003 = 0.15
