Let t and s represent the masses of 20% and 60% alloys respectively.
t+s=80, s=80-t
(0.2t+0.6s)/80=0.52 multiply both sides by 80
0.2t+0.6s=41.6, now using s=80-t in this equation gives us:
0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side
0.2t+48-0.6t=41.6 combine like terms on left side
-0.4t+48=41.6 subtract 48 from both sides
-0.4t=-6.4 divide both sides by -0.4
t=16, since s=80-t
s=64
So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
Answer:
6
Step-by-step explanation:
Add 4 plus 3 plus 2. That equals 9. You need to double the amount to get 18. There would be 8 peanuts, 6 almonds, and 2 cashews. 8:6:4
Answer:
B
Step-by-step explanation:
The function is cubic (the highest power is 3), so it can't be even. It's either odd or neither.
We can either graph the function, or we can test that it's symmetrical about the origin by seeing if f(x) = -f(-x).
f(x) = -2x³ + 3x²
f(-x) = -2(-x)³ + 3(-x)²
f(-x) = 2x³ + 3x²
f(x) ≠ -f(-x), so the function is neither even nor odd.
Answer:
a=729
Step-by-step explanation:
Solve for a by simplifying both sides of the equation, then isolating the variable.