Answer:
18 ounces of the 25% solution
21 ounces of the 38% solution
Step-by-step explanation:
let a be the ounces of 25% alcohol solution
let b be the ounces of 38% alcohol solution
a + b = 39
0.25a + 0.38b = 0.32(39) = 12.48
Rearrange a + b = 39:
a = 39 - b
Now we can substitute a = 39 - b into the other equation
0.25a + 0.38b = 12.48
0.25(39 - b) + 0.38b = 12.48
Simplify by distributing
9.75 - 0.25b + 0.38b = 12.48
Collect like terms
9.75 + 0.13b = 12.48
Isolate b to solve
0.13b = 2.73
b = 2.73/0.13
b = 21
Sub b = 21 into an equation to find "a"
a + b = 39
a + 21 = 39
a = 39 - 21
a = 18
Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.
Pi and 4, because the square root of ten is 3.1622...
Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
The answer is 72°
the m112°-40°= 72°
Answer:
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
