Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
 
        
             
        
        
        
Answer:
y = 
Step-by-step explanation:
3x + 7y = 29 ( subtract 3x from both sides )
7y = 29 - 3x ( divide both sides by 7 )
y = 
 
        
             
        
        
        
Answer: 8.37 in³
Step-by-step explanation:
Given the following :
Shape of icre cream scoop = sphere
Radius (r) = 1 inch
Volume of a scoop of icecream = volume of sphere :
4/3πr³
(4/3) × 3.14 × 1³
1.333 × 3.14 × 1 
= 4.1867 in³
Hence, the volume of 2 scoops of ice cream will be : 
2 × ( volume of a scoop of ice cream)
(2 × 4.1867) in³
= 8.37 in³