An aluminum alloy containing 48% aluminum is to be made by containing 30% and 60% alloys. how many pounds of the 60% alloy must be added to 24 pounds of the 30% alloy to produce the desired aluminum alloy?

36 pounds

Step-by-step explanation:

48% = 48/100 = 0.48

30% = 30/100 = 0.3

60% = 60/100 = 0.6

Let pounds of 60% alloy added = x

So, from the statement, we can write:

0.6x + 0.3(24) = 0.48(x + 24)

Note "x + 24" in total because we are adding "x" from 60% and "24" from 30% alloys.

Now, we have to solve the above equation for x:

Thus,

We would need 36 pounds added from 60% alloy

32

step-by-step explanation:

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.