Answer:
In the year 2010, the population of the city was 175,000
Step-by-step explanation:
If we rewrote this as a linear expression in standard form (it is linear, btw), it would look like this:
The rate of change, the slope of this line, is 11/2. If the year 2010 is our time zero (in other words, we start the clock at that year), then 0 time has gone by in the year 2010. In the year 2011, t = 1 (one year goes by from 2010 to 2011); in the year 2012, t = 2 (two years have gone by from 2010 to 2012), etc. If we plug in a 0 for t we get that y = 175,000. That is our y-intercept, which also serves to give us the starting amount of something time-related when NO time has gone by.
Answer:
The value of x = 3.
Step-by-step explanation:
The ratio between length and width is given by:
Where:
- L represents the new length
- W represents the new width
Now, we know that each dimension is reduced by x inches, it means:
Then, we will have:
Finally, we just need to solve it for x.
<u>Therefore, the value of </u><u>x = 3.</u>
I hope it helps you!
Answer: 56 purple marbles.
Step-by-step explanation:
Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.
You can set up the following System of equations:
You can use the Substitution method to solve the System of equations. The steps are shown below:
1. You need to substitute the second equation into the first equation:
2. Now you must solve for "w":
3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":
Answer: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
