This is a system of equations. The first equation represents the tank being emptied and the second equation represents the tank being filled:
k = -10t + 528
k = 14t
To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.
14t = -10t + 528
24t = 528
t = 22
Now that we have t, we can use it to find k by plugging it in to the second equation:
k = 14(22)
k = 308
So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
Answer:
Step-by-step explanation:
The point-slope formula is 
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute 
, 
, and 
for real values.
1) First, find , or the slope. Use the slope formula 
and substitute the x and y values of the given points. Then, solve:
Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula, . Since represents the slope, substitute -10 in its place. Since and represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:
2m would be your answer
Each ticket costs $2, which means that if you are buying more tickets, it would look like: 2 + 2.... instead of the others
hope this helps
This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70
Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks.
