Answer:
<em>The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.</em>
Step-by-step explanation:
<u>System of Equations
</u>
Let's call
x=amount of metal alloy that is 20% copper
y=amount of metal alloy that is 70% copper
The metalworker wants to create 100 Kg of 50% copper alloy. This gives us the first relation
x+y=100
The combination of 20% of x and 70% of y will produce 50% of the sum of both, thus
20x+70y=50(x+y)
Operating
20x+70y=50x+50y
Reducing and dividing by 10
2y=3x
The system of equations is easily solved by isolating x in the first equation
x=100-y
And replacing into the last equation
2y=3(100-y)
Operating
2y=300-3y
5y=300
y=60
Thus
x=100-60=40
The metalworker should use 60 kg of metal alloy that is 70% copper and 40 kg of metal alloy that is 20% copper.
Answer:
1.33 or 133/100
Step-by-step explanation:
formula=area of base x height x 1/3
A=2 x 2 x 1/3 or
A=2 x 2 / 3
A=4 / 3
A=1.33 or 133/100
Answer:
P (2) = 0.1
Step-by-step explanation:
The table has X and P(X), you have to search the X and see its P(X) and thats the probability
Answer:
5^6
Step-by-step explanation:
(5^3)^2
We know that a^b^c = a^(b*c)
5^(3*2)
5^6
0.03x + 15 y = 0.03x - 15 y = -0.03x + 15 y = -0.03x - 15