in chemistry class, 9 Liters of a 40% silver iodine solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

9 L of 40% silver iodine solution contains 0.40 (9 L) = 3.6 L of silver iodine.

x L of a 10% solution contains 0.10 (x L) = 0.1x L of silver iodine.

Mixing these two solutions results in another solution of volume (x + 9) L and containing (0.1x + 3.6) L of silver iodine, which gives it a concentration of 6%.

But this is impossible! Let a < b. You cannot mix two solutions at concentrations of a and b and magically end up with a mixture whose concentration is smaller than a or larger than b, it has to fall somewhere in the middle.

We can still try solving for x to demonstrate this:

(0.1x + 3.6)/(x + 9) = 0.06

0.1x + 3.6 = 0.06 (x + 9)

0.1x + 3.6 = 0.06x + 0.54

0.04x = -3.06

x = -76.5

Nonsense.

Perhaps you meant the target concentration to be 16%? In that case, there is a valid solution:

(0.1x + 3.6)/(x + 9) = 0.16

0.1x + 3.6 = 0.16 (x + 9)

0.1x + 3.6 = 0.16x + 1.44

0.06x = 2.16

x = 36

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.