Answer:
11.895
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given formula is :
We need to find the formula for v.
Cross multiplying the given formula.
Dividing both sides by m. So,
Adding both sides by u².
Hence, this is the required formula.
Answer with Explanation:
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a system has no solution, it is said to be inconsistent . Represent parallel lines.
1) 8x + y + 4 = 0
y = -8x - 4
If we solve equation 8x + y + 4 = 0 for y, we get
y = -8x -4
So, both equations are same. That means both lines are same. So infinite many solutions.
System is consistent
2) Both line slope are same and parallel to each other.
So, no solution
System is inconsistent.
3) Both equation represent the same line. So, infinite many solution.
System is consistent.
4) Both lines are intersect at a point.
Intersection point is (7,0).
5) Both lines are parallel. So, no solution.
System is inconsistent.
Answer:
Step-by-step explanation:
Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:
#lbs x $/lb = Total
T
K
Mix
Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:
#lbs x $/lb = Total
T 9
K 13.50
Mix
Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound
#lbs x $/lb = Total
T 9
K 13.50
Mix 50 9.54
Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:
#lbs x $/lb = Total
T x x 9 = 9x
K 50 - x x 13.50 = 675 - 13.50x
Mix 50 x 9.54 = 477
The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:
9x + 675 - 13.5x = 477 and
-4.5x = -198 so
x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.
Answer: 2a-6=g
Step-by-step explanation:
2a-6=g
2 times the amount Adrianne sold minus 6 equals the amount Graham sold.
NOTE: I don’t know which option this is because you did not provide it, so please just select the one that contains my answer (or something similar with just different variables, both variables have to be different though).
