Answer:
x=6
Step-by-step explanation:
Step 1:
Subtract 3x from both sides:
4x + 8 - 3x = 3x + 14 - 3x
x + 8 = 14
Step 2:
Subtract 8 from both sides:
x + 8 - 8 = 14 - 8
x = 6
For a definite answer, let us take a look at the given circle graph. You are given that landing on a blue sector will give 3 points, landing on a yellow sector will give 1 point, purple sector will give 0 points and red sector will give -1 point. You are asked to find the probability of landing -1, 0, 1 and 3 points. There are a total of 7 pie graphs in the circle.
For -1 point, you know that only a red sector will give you a negative one point. In the circle graph, there are two red portions. So you will have a probability of 2/7.
For the 0 point, you know that only a purple sector will give you zero point. In the circle graph, there are two purple portions. So you will have a probability of 2/7.
For the 1 point, you know that only a yellow sector will give you one point. In the circle graph, there are two yellow portions. So you will have a probability of 2/7.
For the 3 points, you know that only a blue sector will give you three points. In the circle graph, only one blue portion is shown. So you will have a probability of 1/7.
Answer:
The system of equations representing the situation are
with solutions
Step-by-step explanation:
Let us call 
the number of associates and 
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are
And the solution to this system is found by solving for in the second equation and substituting its value in the first equation:
We put this value into and solve for 
The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.
Option B shows the correct equation of inequality to write the time taken to complete the work.
<h3>
What is inequality?</h3>
Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.
Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,
Oliver = 4 and one-fourth hours
Karissa = K hours
As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,
Oliver 
2 Karissa
Hence Option B shows the correct equation of inequality to write the time taken to complete the work.
To know more about inequality, follow the link given below.
brainly.com/question/363094.
Yes they will be equal at some point. Although Marc has more miles on his car at the current moment, Elena is adding miles at a higher rate.
Elena's car: 7000 + 21000t
Marc's car: 20000 + 11000t
To find at what time t they are equal, set these two expressions equal to each other and solve for t.
7000 + 21000t = 20000 + 11000t
13000 = 10000t
t = 1.3 years from now
