Please see the attached file for the fully formatted problems.

1.) Solve the equation:

2.) Pump A can fill a tank in 8 hours, and pump B can fill the same tank in 12 hours. How long will it take to fill the tank if both pumps are used?

3.) Solve by factoring:
A.) Write the three factors
B.) What are the solutions (roots)?

4.) Use the discriminant to classify the roots of the equation:

5.) Solve the equation:

6.) Solve P=2L+2W for W

7.) Solve the equation:

8.) Solve by any method:

9.) Solve the equation: -0.75r-1.25(r+1)=0.5

10.) A student has test scores of 88, 83, 99 and 96. What score does the student need on the next test to produce an average score of 90.

11.) Solve the equation 2x-3=4(6-3x)+1

12.) Solve: H

13.) How many liters of pure water should be evaporated from 7.5 liters of a 15% acid solution so that the solution that remains is a 20% acid solution?

14.) Clearly show the steps you would use to solve: y2+10y+24=0 using the completing the square method a.b.c.d.e.y=

17.) The number N of guests that arrive at a mall food court each hour can be approximated by where x is the number of hours after 11 am. At what times to the nearest minute are 200 guests per hour arriving at the food court?

An architect wants to design a rectangular room so that its length is 8 meters more than its width, and its perimeter is greater than 56 meters. If each dimension of the room must be a whole number of meters, what are the smallest possible dimension in meters of the room?

1. The surface area S of a right prism is given by S = 2B + Ph.
B is the area of the base.
P is the perimeter of the base.
And h is the height of the prism. Solve for B.
2. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
3. The sum of two numbers is grea

1. Solve using the addition and multiplication principles.
2.4+17.8> 44.5 - 6.5x
The solution set{x|x> }.
2. Translate to an inequality.
A number is at least 13
The is _ _ _
(use x as the variable.)
3. Translate to an inequality. Use the variable x.
The number of people in the chess club is less t

Look what stress does. I submitted the wrong problems to you for help. Please help me with the following 18 problems - I submitted the incorrect problems.
#17)
2x + 3
--------
x^2 - 16
#33)
w^2 - 49
---------
w + 7
#77)
2x^12
-------
4x^3
#87)
-2x - 4
-----------
x^2 - 5

1.) How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
2.) Do the equations x = 4y + 1 and x = 4y - 1 have the same solution? How might you explain your answer to someone w

Math 212 Finite Mathematics
1. (4) Construct the augmented matrix for the following system of three equations in three
unknowns. Do not solve the system.
2x - y + z = 10
4x + 2y - 3z = 10
x - 3y + 2z = 8
2. (4) Use the Gauss-Jordan method to solve the following system of equations.

A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.