A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than twice the width w, and the height is 1 foot less than the width.Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet.

Q: The area of a rectangle is 35 yd", and the length of the rectangle is 3 yd more than twice the…

A: See solution below

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A: In this question we have to calculate the width of the rectangle and then diagonal by Pythagoras…

Q: A box for a 12-pack of soda has the dimensions of 4.8 inches X 21 inches X 7 inches. If a soda can…

A: Volume of the box is equal to 4.8*21*7=705.6 cubic inches (using formula for volume of a cuboid)…

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A:

Q: The perimeter of a rectangular window frame is 184 inches. Find the dimensions of the window frame…

A: Given query is to find the dimensions of the window.

Q: The area of a rectangle is 65 yd sqaured, and the length of the rectangle is 3 yd less than twice…

A: At first we have to construct the problem and take w as width and l as length.

Q: The area of the dining room of a vessel is x^3 + 3x^2 – x – 3 square meters. What are its…

A: Given area of the dinning room of a vessel is x3+3x2-x-3. Factoring the given area.…

Q: the

A: Please refer to the image below

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A:

Q: The length of a rectangle is twice its width. If the perimeter of the rectangle is 48 m, find its…

A:

Q: The width of a rectangle is w centimeters, and the length is 5 centimeters less than twice the…

A: Given ,  The width of a rectangle is w centimeters The length is 5 centimeters less than twice the…

Q: ) The length of the box is 9 inches more than its width. The height of the box is 1 inch less than…

A: Given: Length is 9 inches more than width. Height is 1 inch less than width. Volume = 72 inch3

Q: The area of a rectangle is 52 m, and the length of the rectangle is 5 m less than twice the width.…

A: Use formula of area of rectangle to solve this problem.

Q: The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If…

A: Given: The length of the rectangular tennis court is  6 feet is longer than twice the width. The…

Q: The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 77 m2.…

A: Let x = width in ft      y= length in ft   Given, y = 3+2x ----(1) Area = xy = 77 ft2 Using (1) to…

Q: The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2…

A: Let w be the width of the window. So, l=w+2 will be its length.

Q: Laura has a rectangular garden whose width is x3 and whose length is x4.In terms of x, what is the…

A:

Q: The area of a rectangle is 21 yd", and the length of the rectangle is 1 yd less than twice the…

A: Area of the Rectangle, A = 21 yd2 Length of the Rectangle, l = ? Width of the Rectangle, w = ?

Q: The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 14…

A:

Q: The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its…

A: Use area formula of rectangle

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A: Let w be the width of the old garden. Then the length of the old garden is L = w + 4 The the area of…

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A: given: the measures of the sides of the square base of a box are twice the measure of the height of…

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A:

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A:

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A:

Q: The size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is 8…

A: The size of TV screen is given by length of its diagonal. If the dimension of a TV screen is 8…

Q: The length of a rectangle is twice its width If the perimeter of the rectangle is 42cm what is the…

A: Given:The length of a rectangle is twice its width and the perimeter of the rectangle is 42cm.Let x…

Q: The height of Peter’s room is 8 meters and is 5 meters longer than its width. If the volume of the…

A:

Q: The length of the longer leg of a right triangle is 9ft longer than the length of the shorter leg x.…

A: Given that the length of the shorter leg is x.Also it is given that the hypotenuse is 9 ft shorter…

Q: The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 77 yd.…

A:

Q: The diagonal of the floor of a rectangular office cubicle is 9ft longer than the length of the…

A: let, Length of the rectangular office cubicle = l Width of the rectangular office cubicle = b…

Q: Find the length of the shorter leg of a right triangle if the longer leg is 15 feet more than the…

A: Here use the Pythagoras theorem  given as  H2  = B2 + P2 to solve the problem.

Q: A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field…

A:

Q: The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 33 m.…

A: CONCEPT:- If length of a rectangle is 'l' and width is 'b' then area of rectangle (A) is given…

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A:

Q: The length of a rectangle is 8cm less than twice width. If the area of the rectangle is 42cm2. Find…

A:

Q: The area of the base of a cylinder is 52 cm² and the height is 8 cm which equation can be used to…

A:

Q: If the weight of the cube and the rectangular box are the same volume, which equation can you use to…

A:

Q: The length of the rectangle is 4 times its width. If the perimeter of the rectangle is 80 m, find…

A: Let the width of rectangle is x m Length of rectangle is 4x m

Q: The area of a rectangle is 42 ft.² and the length of the rectangle is 11 feet less than three times…

A: Consider the given information:

Q: The area of a rectangle is 52 yd, and the length of the rectangle is 5 yd less than twice the width.…

A: Area of  a rectangle = Length× Width

Q: the length of a rectangle is 13centimeters less then six times its width its area is 28square…

A:

Q: A rectangle has a breadth of x cm and a length which is ten times longer than the breadth. If the…

A: Given,            A rectangle has a breadth of x cm and a length which is ten times longer than the…

Q: The length of A rectangle is 4 m less than twice the width if the area of the rectangle is 286…

A: Suppose, the length of a rectangle is 4 and the width of the rectangle is w. Now, given that the…

Q: A rectangular room is 60 square feet in area. If the room is 7 feet longer than it is wide, what are…

A:

Q: The length of a rectangle is 3 inches longer than it is wide. If the area is 28 square inches, what…

A: area of rectangle is = lb here width = b length = b+3 A = 28 b(b+3) = 28 b2 + 3b -28 =0 b2 +7b -4b…

Q: The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 35…

A: Given :Area of the rectangle = 35 yd2

Q: The height of a cube furnitore piece is x+10 inches, If the volume of the cube is x+1000 CU. in. how…

A: Given that,Height of cube, h=(x+10) inchesVolume of cube,v=(x3+1000)cu.in=(x3+103)cu.in

Q: The volume of the swimming pool is given by 3x3 + 4x? - 17x - 6. If the height of the pool is given…

A:

Q: The area of a rectangle is 44 m", and the length of the rectangle is 3 m less than double the width.…

A:

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.