Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

Now we substitute x in the second equation:

Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:


Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
445.2 square cm
Step-by-step explanation:
The surface area consists of area of two bases and area of three leteral faces. Each lateral face is a rectangle with length of 23 cm and width of 6 cm.
The area of rectangle is

So,

The area of base is given as 
Thus, the surface area is

S≤12 s is equal to or less than 12 because 20 minus 12 equals 8. The class will still be held. Any number less than 12, there will be more students than 8 and the class will still be held.
Answer:
She should add 30 ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
Step-by-step explanation:
Let X be ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
We have the equation
when 8% acidity level is reached.
Solving the equation we have
X*0.12+2=0.08(X+40)=0.08X+3.2
That is 0.12X-0.08X=3.2-2=1.2
Finally 0.04X=1.2 and
X=30