Answer:
900 people
Step-by-step explanation:
540 / 60 = 9
10% = 9
9 x 100 = 900 people
Hope that helps!
Answer:
The answer is
and ![y=\frac{11}{2}.](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B11%7D%7B2%7D.)
Step-by-step explanation:
Given:
-4x-2y=14
-10x+7y=-24
Now, to solve it by elimination:
......(1)
......(2)
So, we multiply the equation (1) by 7 we get:
![-28x-14y=98](https://tex.z-dn.net/?f=-28x-14y%3D98)
And, we multiply the equation (2) by 2 we get:
![-20x+14y=-48](https://tex.z-dn.net/?f=-20x%2B14y%3D-48)
Now, adding both the new equations:
![-28x-14y+(-20x+14y)=98+(-48)](https://tex.z-dn.net/?f=-28x-14y%2B%28-20x%2B14y%29%3D98%2B%28-48%29)
![-28x-14y-20x+14y=98-48](https://tex.z-dn.net/?f=-28x-14y-20x%2B14y%3D98-48)
![-28x-20x-14y+14y=50](https://tex.z-dn.net/?f=-28x-20x-14y%2B14y%3D50)
![-8x=50](https://tex.z-dn.net/?f=-8x%3D50)
<em>Dividing both the sides by -8 we get:</em>
![x=-\frac{50}{8}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B50%7D%7B8%7D)
Now, putting the value of
in equation (1):
![-4x-2y=14](https://tex.z-dn.net/?f=-4x-2y%3D14)
![-4(-\frac{50}{8})-2y=14](https://tex.z-dn.net/?f=-4%28-%5Cfrac%7B50%7D%7B8%7D%29-2y%3D14)
![\frac{200}{8} -2y=14](https://tex.z-dn.net/?f=%5Cfrac%7B200%7D%7B8%7D%20-2y%3D14)
![25-2y=14](https://tex.z-dn.net/?f=25-2y%3D14)
<em>Subtracting both sides by 25 we get:</em>
![-2y=-11](https://tex.z-dn.net/?f=-2y%3D-11)
<em>Dividing both sides by -2 we get:</em>
![y=\frac{11}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B11%7D%7B2%7D)
Therefore, the answer is
and ![y=\frac{11}{2}.](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B11%7D%7B2%7D.)
Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
U can see that 5/9 has a greater value thx hope it helped
Answer:
(2,5)
Step-by-step explanation:
It's the coordinates of the point where the lines cross