Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?

65%

Step-by-step explanation:

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?

3 gallons of 80% juice solution contains this amount of juice:

80% * 3 gal = 0.8 * 3 gal = 2.4 gal

1 gallon of 20% juice solution contains this amount of juice:

20% * 1 gal = 0.2 * 1 gal = 0.2 gal

The total amount of juice in the final juice solution is

2.4 gal + 0.2 gal = 2.6 gal

The total amount of juice solution made is 3 gal + 1 gal = 4 gal

The 4 gal juice solution contains 2.6 gallons of juice.

2.6 gallons is what percent of 4 gallons?

2.6/4 * 100% = 0.65 * 100% = 65%

65%

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

34

step-by-step explanation: