Step-by-step explanation:
If x is the mass of 30% copper alloy, and y is the mass of 65% copper alloy, then:
x + y = 80
0.30x + 0.65y = 0.51(80)
Solving the system of equations using substitution:
0.30x + 0.65(80 − x) = 0.51(80)
0.30x + 52 − 0.65x = 40.8
11.2 = 0.35x
x = 32
y = 80 − x
y = 48
The metalworker needs 32 kg of 30% copper alloy and 48 kg of 65% copper alloy.
 
        
             
        
        
        
Answer:
.....
Step-by-step explanation:
................thanks.......
 
        
                    
             
        
        
        
Answer:
237
Step-by-step explanation:
multiply the length value by 10
 
        
                    
             
        
        
        
Answer:
15
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Using the given information,
45 = 1/2 * L * 6
45 = 3L                                simplify
15 = L                                   divide both sides by 3