Anut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $4.16 per pound of cashew nuts. over the entire day, 95 pounds of the nut mixture were sold for $281.44. if p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is:
p + n= 95p + 4.16n = 281.44

There were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fair

Step-by-step explanation:

The question is

Determine the correct description and amount of pounds for almonds and cashew nuts that were sold

Let

p -----> is the number almonds sold in pounds

n -----> is the number of cashew nuts sold in pounds

we know that

------> equation A

-----> equation B

substitute equation B in equation A and solve for n

Find the value of p

therefore

There were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fair

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.