Answer:

Step-by-step explanation:
Divide both sides by 9 to isolate x:

Hope this helps!
<span>Difference of squares method is a method that is used to evaluate the difference between two perfect squares.
For example, given an algebraic expression in the form:
can be factored as follows:

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e.

which can be factored as follows:

.</span>
Answer:
x = -11
Step-by-step explanation:
2x + 23 + 9 = x + 21
Combine common factors
2x + 32 = x + 21
Subtract x from both sides
x + 32 = 21
Subtract 32 from both sides
x = -11
Answer:
The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
Step-by-step explanation:
With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-

![\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28B%7CA%29%3D%5Cdfrac%7B0.55%7D%7B0.57%7D%5C%5C%5C%5C%3D0.964912280702%5Capprox0.9649%5C%20%5C%20%5Ctext%7B%5BRounded%20to%20four%20decimal%20places.%5D%7D)
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649