Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
Answer:
360 people out of 1200 are likely to have red hair.
Step-by-step explanation:
So I just saw that 100 x 120 equals 1200. So I just need to multiply 3 x 120 and I got 360. I think this is how to solve?
Answer:
f(g(x)) = 2x +(-5)
Step-by-step explanation:
Put the argument value into the function and simplify the result.
f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1
f(g(x)) = 2x +(-5)
P = 11 + 4 + 18 + 37 + 7 + 19 = 96
a = (18*7) + (11*19) = 126 + 209 = 335
Answer:
f[g(x)] = 4x²+1/16
Step-by-step explanation:
We need to put g(x) into f(x).
f[g(x)] = 1/(1/2x+4)²
f[g(x)] = 1/(1/4x²+16) Solve the exponential.
f[g(x)] = 1/(1/4x²+16) Simply the fraction.
f[g(x)] = 4x²+1/16
