1/7 + x = 2/3x
1/7 = 2/3x-x
1/7 = 2/3x - 1x
1/7 = -1/3x
-3/7 = x
Answer:

Step-by-step explanation:
Given
Points:


Required
Determine the equation of line that is perpendicular to the given points and that pass through 
First, we need to determine the slope, m of FG

Where
--- 
--- 



The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:


The equation of the line is then calculated as:

Where





Multiply through by 2

Add x to both sides


Hence, the line of the equation is 
Answer:
65 feet below sea level.
Step-by-step explanation:
With the information provided, we can create the following equation for the position of the sea lion (p)
p = 3x - 10
In this equation, x would be the final position of the seal when it caught the fish. Since we are told that the seal's position is 25 feet below sea level then we can plug in this value as x and solve for p...
p = (3 * 25) - 10
p = 75 - 10
p = 65
Finally, we can see that the sea lion's position is 65 feet below sea level.
Answer:
Suppose we roll a six-sided number cube. Rolling a number cube is an example of an experiment, or an activity with an observable result. The numbers on the cube are possible results, or outcomes, of this experiment. The set of all possible outcomes of an experiment is called the sample space of the experiment. The sample space for this experiment is \displaystyle \left\{1,2,3,4,5,6\right\}{1,2,3,4,5,6}. An event is any subset of a sample space.
The likelihood of an event is known as probability. The probability of an event \displaystyle pp is a number that always satisfies \displaystyle 0\le p\le 10≤p≤1, where 0 indicates an impossible event and 1 indicates a certain event. A probability model is a mathematical description of an experiment listing all possible outcomes and their associated probabilities. For instance, if there is a 1% chance of winning a raffle and a 99% chance of losing the raffle, a probability model would look much like the table below.
Outcome Probability
Winning the raffle 1%
Losing the raffle 99%
The sum of the probabilities listed in a probability model must equal 1, or 100%.
Answer:

Step-by-step explanation:
Given
-- of the roadworks

Required
Determine the speed
In this case:


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