Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

We define

$B_{A}=1oz @ 35\%$ , wich means Brand A has 1 oz containing 35% peanuts.

$B_{B}=1oz @ 25\%$ , wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) $B_{a}+B_{b}=21$

(2) $0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21$ , after fixing it a little

(2) $0.35B_{a}+0.25B_{b}=6.09$

As we can use any method to solve the system, I used a calculator wich thrown the following results $B_{a}=8.4 \ oz$ and $B_{b}=12.6 \ oz$ .

4 0

3 years ago

If the perimeters of each shape are equal, which equation can be used to find the value of x?

Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0

3 years ago