Answer: JL = 25
Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.
Suppose first segment JK measures d.
The total ratio is the sum of each part
d + 4d + 4d = 9d
The sum of each part corresponds to the total measure of the line segment. Then:
9d = 45
d = 5
Segment JL is
JL = d + 4d
JL = 5d
JL = 5.5
JL = 25
Segment JL measures 25 units.
Answer:
See attachment
Step-by-step explanation:
We want to graph the line with slope

and y-intercept ,

The equation of this line is

Starting at -7 on the y-axis, we run 5 units and rise 2 units right.
Then draw a line through the y intercept and the new point
The graph is shown in the attachment.
160 inches long
40 + 40 gets you 80 add that with another 80 since the other two sides will add up to that then you’ll have yourself 160
Answer:
C
15 + x
Step by step explanation
For Company X, the initial cost is 30 cents plus 5 cents per minute, so the expression would be 30 + 5x (x would represent minutes.
For Company Y, the initial cost is 15 cents plus 4 cents per minute, so the expression would be 15 + 4x (x would represent minutes.)
Then subtract the expression of Y from the expression of X to show the difference in value between Y and X.
So, 30 + 5x - (15 +4x)
Distribute the subtraction sign.
30 + 5x - 15 - 4x
Solve across.
15 + x
Answer:
$ 1.96
Step-by-step explanation:
Number of spots with outcome of $1 = 9
Number of spots with outcome of $2 = 18
Number of spots with outcome of $10 = 1
Total number of spots = 28
Probability that ball will land on $1 = 
Probability that ball will land on $2 = 
Probability that ball will land on $10 = 
The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.
i.e. for this case:
Expected Value will be:

This means, on average the player should expect to win $ 1.96