Answer : 2
Step by step walkthrough:
Answer:
Slope = -2.000/2.000 = -1.000
x-intercept = 3/1 = 3.00000
y-intercept = 3/1 = 3.00000
Answer:
Total number of possible outcomes in the sample space will be 
Step-by-step explanation:
Given that,
A spinner is divided into fourths and numbered 1 through 4.
Jake spins the spinner and tosses a coin.
So,
Spinner has divided in to fourths means four parts of spinner such as : 
possible outcomes when a coin is tossed : 
Now, when both spinner spins and coin tossed. possible outcomes are

Thus, these are the possible outcomes of given situation.
therefore,
Total number of possible outcomes in the sample space will be
.
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