3x-2y=14
5x+y=32
there are a couple of ways to solve this but I am going to eliminate one of the variables.
First, multiply the second equation by 2
2(5x+y=32)
10x+2y=64
now, we add the first equation with the second, which will eliminate the y value
3x-2y=14
10x+2y=64
13x=78
now we can solve for x
13x=78
x=6
now that we have the value for x, we can plug in 6 for the x value in either equation and solve for y
5x+y=32
5(6)+y=32
30+y=32
y=2
we can check to make sure our values are right by plugging them back into both equations to make sure we get the right answer
3(6)-2(2)=14
18-4=14
14=14
5(6)+2=32
30+2=32
32=32
hope this helped
0.45 because Stock A = 100 and Stock B = 45
Since his stocks inversely decreased you have to do.
Stock A = m cents / share
Stock B = n cents * share
So the equation is
= 100 (0.01m) + 45 (0.01n)
<span>= m + 0.45n</span>
Ok lets do this like this:
<span>Let x = length
Let y = width
From this we know that area A=xy.
</span><span>Now, perimeter is P=2x+2y
cost would be 3(2x)+2(2y) or 6x +4y=$6,000.00.
From this cost equation we solve for x in terms of y
6x=6000-4y
x=1000-(4y)/6.
</span>now lets substitute this value in the area equation A=xy.
A=(1000-4y/6)y
<span>A=1000y−4<span>y2</span>/6=1000y−2<span>y2</span>/3</span>
differentiate and set to equal zero (0)
<span>1000−(−4y/3)=0</span><span>
Solve for y and obtain y=750ft</span>
Because the angles are vertical angles, they are equal.
Set the equations equal to each other:
5x+100 = 3x+112
Subtract 100 from 112:
5x = 3x+12
Subtract 3x from 5x:
2x = 12
Divide 12 by 2:
x = 6
x is equal to 6
Answer:
Dimplified: ×, or
Unsimplified:
Step-by-step explanation:
Remember, the volume of a sphere is
This comes into: ×
As we know, the shape of mars is a sphere.
Let me know if you have a question, or if it lets you not have the ×