Please see the attached file for the fully formatted problems.

? If a problem begins with units, the final answer should also include the proper units.
? Review all your work before submitting this Project. Typographical errors, incorrect formatting, typing words Where symbols belong, and so on, are all mistakes and will be graded as such.
When solving for x, show all operation steps followed by results of performing those operations (i.e., show that you are adding four to both sides, then on the next line show the result of that operation). When the line you're typing is an equation, you should not start the line with an extra leading equals sign.
1. Combine like terms, show your work:
.....
2. Simplify and combine like terms:
(1/4)(3x - 2) - (5/4)(2x - 6)
3. Solve for x, collect variables on the left side of the equation:
....
4. Solve for x, collect variables on the left side of the equation:
4(x - 3) + 2 = 3x + 8 - 2x
5. Solve for x, collect variables on the left side of the equation:
(x - 4)/2 - 1/4 = (6x - 1)120
6. Find the area of a triangle whose base is 2.5 feet and whose height is 4.7 feet. Do not round answer.

1. 5x-10x2+15-4x2+7x-6-10+7x2
Rewrite putting like terms together:
-10x2-4x2+7x2+5x+7x+15-6-10
Combine like terms
-10-4+7=-7 5+7=12 15-6-10=-1
-7x2+12x-1

2.(1/4)(3x-2)-(5/4)(2x-6)
First we multiply the fractions through the parentheses using distributive property
(¼ * 3x - ¼ * 2) - (5/4 * 2x - 5/4 * 6)
(¾ x - 2/4) - (10x/4 - 30/4)
Because we subtract a subtraction in the second parentheses that becomes addition
3x/4 - 2/4 - 10x/4 + ...

Solution Summary

Topics in this set include solving equations with binomials and fractions, combining like terms, and area of a triangle.

1) You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
2) A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that wil

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

Problem #1
Surface area of a cube. The formula A=6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
Problem #2
Sailboat Speed. The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a

Please help with the following questions:
1. Use the limit process to find the area of the region between the graph of the function and the axis over the given interval. Sketch the region.
y = 4 - x^2, [-2,2]
2. Find the area of the region bounded by the graphs of the equations.
y = x^3 + x, x = 2, y = 0

There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items. Systems of equations can be solved by four methods: graphing, substitution, elimination or with matrice

Attached are two maple TA problems I would like to understand which one is a correct answer and all possible additional notes explain why.
Question 1:
Please select all correct formulas below that can be used for calculating the angle ? between two vectors a,b:
(See attached for the equations)
Question 2:
Consider the

Find the circumference andarea enclosed by the casing of a Wankel engine, which is a curve with the parametric equations :
{ x = 2cos(3t) + 6cos(t)
{ y = 2 sin(3t) + 6sin(t)
where 0 â?¤ t â?¤ 2Pi

Amanda has 300 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio. What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation by using the vertex form to find the maximum. Show the work when computing this equation.

Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had?