Milk and cream are mixed together for a recipe. the total volume of the mixture is 1 cup. if the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

So this is a solution problem the answer is 3/4 cups or 75% milk and 1/4 cups or 25% cream, here's why:

m = milk

c = cream

m + c = 1

This is because when you add milk and cream then you get one cup of solution

.02m + .18c = .06

When you add together the percentages the goal is to have .06 or 6%

100m + 100c = 100

2m + 18c = 6

I do this to make it easier to solve

200m + 200c = 200

-200m - 1800c = -600

The "m's" cancel out

-1600c = -400

c = 1/4 or .25 or 25%

Now we add c back in

m + 1/4 = 1

Solve for m

m = 3/4

Thus: 3/4 milk and 1/4 cream

e) none of the above because the measure of angle cba is 101°

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.