Answer:
Option B, y + 3 = -7/3(x - 2)
Step-by-step explanation:
<u>Point slope form: (y - y1) = m(x - x1)</u>
<u />
<u>Step 1: Find the slope</u>
m = 
m = 
m = 
m = 
<u>Step 2: Plug into the point slope form</u>
(y - 4) = -7/3(x - (-1))
(y - 4) = -7/3(x + 1)
OR
(y - (-3)) = -7/3(x - 2)
y + 3 = -7/3(x - 2)
Answer: Option B, y + 3 = -7/3(x - 2)
We can figure out how long Michael's trip took by realizing that 30 mph is 3 times 10 mph. Because of this, the trip home will take 1/3 the amount of time it took to go up the hill. This makes the equation 24 + 8 = 32 minutes for the whole trip.
Now we need to figure out how long the trip was. We can do this by multiplying 10 minutes by 24/60, which equals 4. This means that Michael went 4 miles there, and 4 miles back. So Michael went a total of 8 miles.
Now we know that Michael went 8 miles in 32 minutes. Now, we multiply 8 by 60/32. This gives us 15, so Michael went 15 miles per hour on average in the trip.
Answer:
The length of the diameter of this circular area is of 30 miles.
Step-by-step explanation:
The area of a circular region can be represented by the following equation:

In which r is the radius. The diameter is twice the radius.
In this question:

So




The radius is a positive measure, so

Area in squared miles, so the radius in miles.
What is the approximate length of the diameter of this circular area
D = 2r = 2*15 = 30 miles
The length of the diameter of this circular area is of 30 miles.
Complete question:
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
A. likely
B. certain
C.unlikely
D.impossible
Answer:
C. unlikely
Step-by-step explanation:
If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be <em>certain</em> that she will score a point on her next turn.
Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be <em>likely</em> that she will score a point on her next turn.
Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be <em>unlikely</em> that she will score a point on her next turn.
Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be<em> impossible</em> that she will score a point on her next turn.
Thus, the correct statement for the given question is "<em>unlikely"</em>
Answer:7/20 = 0.35 = 35%=500x.35 =175 men
40%=.40x500 =200 women
200+170=370
500-370
125 children
Step-by-step explanation: