2) 9 lbs. of mixed nuts containing 55% peanuts were mixed with 6 lbs. of another kind of mixed nuts that
contain 40% peanuts. What percent of the new mixture is
peanuts?

The new mixture is 49% peanuts.

Step-by-step explanation:

The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:

9*55/100=4.95 lb

The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:

6*40/100=2.4 lb

The total quantity of peanut in the mix is

4.95 lb + 2.4 lb =7.35 lb

There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:

7.35 / 15 * 100 = 49%

The new mixture is 49% peanuts.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

answer: 3.26019516

step-by-step explanation: