Anut wholesaler sells a mix of peanuts and cashews. he charges $2.80 per pound for peanuts and $5.30 per pound for cashews. if the mix is to sell for $4.80 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix?

20 pounds of peanuts and 80 pounds of cashews.

Step-by-step explanation:

A nut wholesaler sells a mix of peanuts and cashews.

We need to find the amount of peanuts and cashews should be used to make 100 pounds of the mix.

Let x pounds of peanuts y pounds of cashews are mixed.

               .... (1)

He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If the mix is to sell for $4.80 per pound.

         .... (2)

From (1) we get

            .... (3)

Substitute this value in equation (2).

Divide both sides by 2.50.

Substitute y=80 in equation (3).

Therefore, 20 pounds of peanuts and 80 pounds of cashews should be used to make 100 pounds of the mix.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.