You are to create an open box from a single piece of cardboard.  The cardboard is 10 inches by 12 inches.  You are to cut out equal corners from each side of the box.  Construct an equation for the volume of the box.  What is the volume of the box if the piece you cut from the corner is 2 inches?

Q: At an amusement park 40 percent of the tickets were sold in the first hour if 800 tickets were sold…

A: Given that  Percentage of tickets sold in first hour=40%=0.40 Number of tickets sold in first…

Q: Change this general form into standard equation and show your solutions x2+y2-4x+y+4=0

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Q: The length of a rectangle is two more than triple the width. If the perimeter is 156 inches, find…

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Q: If a badminton court is 39 meters in perimeter and the length is 3 meters longer than the twice the…

A: given perimeter of badminton court=39 meters length=2.width+3 l=2w+3 perimeter of badminton court or…

Q: The length of a rectangular box is 8 inches longer than twice the width (x). The height is 9 inches.…

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Q: sides. There are two long sides and one shorter side parallel to the house, and he needs 267 feet…

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Q: daniel has 12 apples. he takes away 3. create an equation that matches this problem

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Q: Solve the equation 4x-2 %3D = 9 for x.

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Q: The length of a rectangular box is 2 inches longer than 3 times the width (x). The height is 7…

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Q: This into an equation?

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Q: The width of a rectangle is half the length of the rectangle . The perimeter of the rectangle is 15…

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Q: translate into equation If the side of the square is increased by 2 feet, the area is increased by…

A: To translate into equation: If the side of the square is increased by 2 feet, the area is increased…

Q: At a community plant sale, a gardener buys 60 plants. Some cost $5 per plant and the rest cost $3…

A: Given,          At a community plant sale, a gardener buys 60 plants. Some cost $5 per plant and the…

Q: The length of a rectangle is 5 more than twice its width the area of the rectangle is 52 square…

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Q: Maxine and Sammie also have to mow their parking strips that are the same size. Maxine can mow her…

A: Given: Maxine and Sammie have to mow their parking strips that are the same size. Maxine can mow her…

Q: The length of a rectangle is 5 feet more than the width. If x represents the width, in feet, the…

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Q: The length of a rectangular floor is two meters more than twice its width. If a diagonal of the…

A: We have to given,The length of a rectangular floor is two meters more than twice its width. If a…

Q: The cost equation for a company to install X square feet of brick pathway is C =208+13x, and the…

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Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: Let Ariadne's money  = x Brian's money = y And Catriona's money = z

Q: The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager…

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Q: The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the…

A: The surface area of the pool is given by Area = 1500 square feet The length of the swimming pool is…

Q: A rectangle has a length that is two less than four times its width. The perimeter of the rectangle…

A: We have a rectangle. Its length is two less than 4 times its width.  Now, let the length be L and…

Q: The length of a rectangular box is 7 inches longer than twice the width (x). The height is 13…

A: Let l be the length of the rectangle , h be the height and x be the breadth of the rectangular box.…

Q: A parallelogram has a perimeter of 50.5 inches. The two longer sides of the parallelogram are each…

A: Given: Perimeter of a parallelogram, P=50.5 inches. Each longer side of a parallelogram, l=16.25…

Q: The area of a rectangle is 24 square inches. The length of the rectangle is2 inches more than the…

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Q: The cost equation for a company to install install X square feet of brick pathway is C=209+14x, and…

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Q: Jan has 200 acres of farm land that she wants to plant with either corn or soybeans. If 300 bushels…

A: Let us assume that x acres of corn and y acres of soybeans.  So total farmland: x+y=200 Number of…

Q: The length of the longer leg of a right triangle is 13inches more than three times the length of the…

A: Let the length of shorter leg be x.Then the length of the longer leg will be 13+3x.The length of the…

Q: Jackson and Ginger are both learning to ride a bike. Jackson can travel y= 4x miles, and Ginger…

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Q: A company manufactures wristwatches and the profit, P. (in hundred thousand pesos) can be modeled by…

A: The given profit function is a polynomial.

Q: Chinchulinas telecommunications charges $0.12 per minute of phone use plus a monthly service fee of…

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Q: The length of a rectangle is 5 inches longer than half of its width. The area of the rectangle is 72…

A: Given:The area of the rectangle is 72 square inches.The length of the rectangle is 5 inches longer…

Q: The percentage of y college students in year x who work jobs while attending college can be…

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Q: A rectangular swimming pool is x meters wide. The length of the swimming pool is twice as long as…

A: Form the equation in one variable and solve it using given data.

Q: Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing 14% with…

A: Given:- Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing…

Q: The equation A = 200(2)". can also be written as:

A: We have to rearrange  the given equation.

Q: The length of a rectangle is 4 inches longer than it is wide. If the area is 165 square inches, what…

A: Width of the rectangle=w Length of the rectangle=w+4 Area of the rectangle=Width of the rectangle  x…

Q: The length of a rectangle is three inches more than the width. The area of the rectangle is 130…

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Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A: The height of a cannonball h, in meters, over time t, in seconds, as it is shot off a platform can…

Q: 8. 6- 2-

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Q: A manufacturer can produce 5400 cell phones when x dollars is spent on labor and y dollars is spent…

A: a) the given equation, 100x34y14=5400⇒x34 y14=54⇒y14=54x-34now differentiate both side with respect…

Q: The length of a rectangle is 7 inches longer than it is wide. If the area is 228 square inches, what…

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Q: A management consultant estimates that the number h of hours per day that employees will work and…

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Q: If the equation to represent the Ferris wheel is f(x) = 12sin(x) + 12, what would be your height in…

A: f(x)=12sinx+12

Q: The perimeter of a rectangular pool is 320 yd. If the length is 20 yd less than twice the width,…

A: Given perimeter of rectangle pool is 320 yd. Given length is 20 yd. less than twice the width To…

Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.