A 42​-inch board is to be cut into three pieces so that the second piece istwice as long as the first piece and the third piece is4 times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.

Q: A 40­inch board is to be cut into three pieces so that thesecond piece is twice as long as the first…

A: Let the length of first piece is x inches. The length of second piece is twice as long as the first…

Q: The perimeter of a plot of land in the shape of a right triangle is 12 miles. If one leg of the…

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Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

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Q: a 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the…

A: We have to  find the length of each pieces.

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A: Given, width of rectangle is 11 meters fewer than three times its length and area of rectangle is…

Q: The length of a rectangle is 7 inches greater than its width. If its length is increased by 2…

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Q: Find the area of the original square.

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Q: The perimeter of a rectangle is 180 feet. Describe the possible lengths of a side if the area of the…

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Q: The length of a rectangle is five inches more than four times it’s width. If the perimeter of the…

A: Let the width of the rectangle be w. So, according to question: Let the length of the rectangle be…

Q: A rectangle has a length of 26 feet less than 10 times its width. If the area of the rectangle is…

A:

Q: A man is six times as old as his son. Twenty years later, the man will be twice as old as his son.…

A: To find: The age of the man when his son is born. Given: The age of the man is six times the age of…

Q: A 46­foot piece of rope is cut into three pieces so that thesecond piece is three times as long as…

A: Given- A 46 ­foot piece of rope is cut into three pieces so that the second piece is three times as…

Q: A rectangular garden is to cover 288 square feet of area. If the width is 2 feet less than the…

A: It is given that, the area of the rectangular garden is 288 square unit. Let the length of the…

Q: A 30-foot piece of siding is cut into three pieces so that the second piece is four times as long as…

A:

Q: A 48­foot­long piece of cable wire is to be cut into three pieces so that the second piece is five…

A: A 48­foot­long piece of cable wire is to be cut into three pieces,the second piece is five times…

Q: A 19​-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than…

A: We have to find the lengths of both pieces.

Q: A rectangle has a length of 22 inches less than seven times its width. If the area of the rectangle…

A:

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

A:

Q: A 18-foot piece of siding is cut into three pieces so that the second piece is three times as long…

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Q: A wire that is 75ft long is cut into 3 pieces. One piece is 2 feet longer than the shortest piece,…

A:

Q: A 12­foot board is to be divided into two pieces so that one piece is twice as long as the other. If…

A: Given: A 12 foot board is to be divided into two pieces so that one piece is twice as long as the…

Q: A 23­inch piece of string is to be cut into two pieces so that the length of the longer piece is…

A: Given: A 23­ inch piece of string is to be cut into two pieces so that the length of the longer…

Q: A rectangle has a height of 27 inches less than 5 times its width. If the area of the rectangle is…

A: Given,            A rectangle has a height of 27 inches less than 5 times its width. If the area of…

Q: A 10-foot board is to be cut into 2 pieces so that the length of the longer piece is 2 feet less…

A: Let's the small piece be x The longer piece will be 3x-2 If we add the 2 pieces together,the total…

Q: Find two numbers whose sum is 9 and their difference is 60.   Smaller- Large number-

A: We have given the - sum of two numbers = 9. difference of two numbers = 60. we have to find the…

Q: An architect is allowed 15 square yards of floor space to add a small bedroom to a house. Because of…

A: Given: The area of floor space is 15 square yards. The width of the floor is 7 yards less than two…

Q: If the perimeter of a rectangle is 82 inches and the length is 13 inches more than it’s width, find…

A: We can solve the problem by the method of finding the area of triangle.

Q: A rectangle has a length of 11 inches less than 8 times its width. If the area of the rectangle is…

A:

Q: A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

Q: A 48-foot piece of siding is cut into three pieces so that the second piece is three times as long…

A: Here we have to use the concept of linear equation.

Q: A 21­foot beam is to be cut into three pieces so that the second and the third piece are each 3…

A:

Q: A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: The length of the board is 24-inch. It is given that the board is cut into three pieces. Let x, y…

Q: a two digit number is four times the and three times the prsuc t of its digits ,find the number

A: Given, a two digit number is four times the sum and three times the product of its digit. We have to…

Q: A 10 foot board is to be cut into 2 pieces so that the length of the longer piece is 1 foot longer…

A:

Q: The perimeter of a plot of land in the shape of a right triangle is 60 miles. If the length of one…

A:

Q: A 24​-inch board is to be cut into three pieces so that the second piece is 3 times as long as the…

A:

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: An 18­ foot board is cut into two pieces. If one piece is x feet, express the length of the other…

A: (18-x) feet

Q: find two consecutive even integers if the sum of their squares is 164

A:

Q: A father is 3 times as old as his son after twelve years his age will be twice as that of his son…

A: Let the son present age is x years, then the age of father is 3x years. from the given…

Q: A 10-foot piece of string is cut into two pieces so that the longer piece is 1 foot longer than…

A: Suppose that the length of shorter piece is x foot.

Q: Find the dimensions of a tablecloth that covers an area of 6759 square feet amd has a length 8 feet…

A: To calculate the dimensions of the tablecloth that covers an area of 6759 square feet, it is enough…

Q: A rectangle has a length of 16 inches less than 8 times its width. If the area of the rectangle is…

A:

Q: The father is 4 times as old as his daughter 5 years ago. In 6 years, he will be three times as old…

A: present age of daughter be x present age of father be y   5 years ago   daughhter's age :  x-5…

Q: What is the area of a rectangle whose width is 10 and whose length is 4 more than twice the width?

A: Explanation of the answer is as follows

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.