There are 4 quarts in a gallon so, therefore you would times 35 by 4 and get 140 quarts and 140 quarts is your answer
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
<u>Given</u>:
The system of linear equations are 
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute 
in the equation
Thus, we have;
Thus, the value of y is -17.
Substituting in the equation , we get;
Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)
First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.
The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.
The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.
I hope this helps!
Answer:
80736
Step-by-step explanation:
