The manager of a health food store sells peanuts for $8 a pound and premium cashews for $13 a pound. if he wishes to make a 400 pound cashew and peanut mix that will sell for $9 a pound, how many pounds (lb) of cashews should he use?

80 pounds

Step-by-step explanation:

Let x be the amount of cashews needed to make a 400 pound cashew and peanut mix.

Then the amount of peanuts= 400-x

Now, the price of cashews before mix = 13x

the price of peanuts before mix = 8(400-x)

the price of 400 pound mix = $9(400)=$3600

According to the question:

Hence, he use 80 pounds of cashews .

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: