His commission is simply: $15,000 x 0.04 = $600
Answer:
m < 4 = 44 degrees
Step-by-step explanation:
Here, we want to find the value of the given angle.
Mathematically, when two angles are complement of each other, they add up
to be 90 degrees. These angles are termed complementary angles.
Thus, by mathematical convention is this present case;
m <3 + m< 4 = 90
46 + m<4 = 90
m<4 = 90-46
m< 4 = 44 degrees
The number line is a graph of the Integers
We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
