How many pounds of chocolate worth $1.5 a pound must be mixed with 10 pounds of chocolate worth 80 cents a pound to produce a mixture worth $1 a pounds.

Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.

Step-by-step explanation:

Let x denotes the number of chocolates that cost $1.5 a pound.

and y denotes the number of chocolates that cost 80 cents a pound.

We know that  1 cent=0.01 dollars.

                          80 cents=80×0.01=0.80 dollars.

we are given y=10

now we need to find 'x' using the above information by forming a linear equation.

1.5x+0.80y=1(y+x)

as y=10

1.5x+8=(10+x)

1.5x+8=10+x

1.5x-x=10-8

0.5x=2

x=2/0.5

x=4

Hence, 4 pounds of chocolates worth $1.5 a pound should be mixed to 10 pounds of chocolates worth 80 cents a pound to produce a mixture worth $1 a pounds.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.