Agrocer mixes 2 kinds of nuts that cost to $2.89 and for $4.29 per pound to make 50 pounds of a mixture that cost $3.49 per pound. how much of each kind of nut is put into the mixture?

the number of $2.89 per pound nut that is put in the mixture is 29

the number of $4.29 per pound nut that is put in the mixture is 21

Step-by-step explanation:

Let x represent the number of $2.89 per pound nut that should be put in the mixture.

Let y represent the number of $4.29 per pound nut that should be put in the mixture.

A grocer mixes 2 kinds of nuts that cost to $2.89 and for $4.29 per pound to make 50 pounds of a mixture. This means that

x + y = 50

The mixture costs $3.49 per pound. This means that the 50 pounds mixture would cost 50 × 3.49 = 174.5

Therefore, the total cost of the mixture made by the grocer would be

2.89x + 4.29y = 174.5 - - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

2.89(50 - y) + 4.29y = 174.5

144.5 - 2.89y + 4.29y = 174.5

- 2.89y + 4.29y = 174.5 - 144.5

1.4y = 30

y = 30/1.4 = 21

Substituting y = 21 into x = 50 - y, it becomes

x = 50 - 21 = 29

b

step-by-step explanation:

b

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,