The sum of a positive number and twice its square is 11.88.Find the number.

Q: The length of a picture is 20.25 inches shorter than twice the width. If the perimeter of the…

A: Given: The length of a picture is 20.25 inches shorter than twice the width.             If the…

Q: The sum of a positive number and it's square is 72. What is the number?

A: Let the positive number is x. Then according to our problem, x2 + x = 72.

Q: 2) The length of a rectangle is 5 cm less than three times its width. If the perimeter of the…

A: length of rectangle is 19cm and width of the rectangle is 8cm

Q: The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than…

A:

Q: The length of a picture is 24.25 inches shorter than twice the width. If the perimeter of the…

A: Answer is mentioned below

Q: The square of a number exceeds twice the number, itself, by 60. What is the number?

A: The square of a number exceeds twice the number itself by 60.

Q: Suppose that the length of a rectangle is 3 times the width. If the area is 300 square feet, then…

A: The explanation of the solution as follows:

Q: The width of a rectangle is 11 meters fewer than three times its length. If it's area is 190 square…

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

Q: The length of a picture is 7.75 inches shorter than twice the width. If the perimeter of the picture…

A:

Q: The sum of two consecutive even integers is 26. What is the product of the two integers?

A:

Q: a rectangle has an area of 60 square inches and a length which is three inches less than three times…

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: 2. The perimeter of the rectangle is 96 when the length of a rectangle is twice the width. What are…

A: Given- The perimeter of the rectangle is 96 and the length of the rectangle is twice the width. To…

Q: (a) Sum of the areas of two squares is 850 m2. If the difference of their perimeters is 40 m. Find…

A: Let x and y be the sides of two squares. According to the given, Sum of the areas of two squares =…

Q: The length of the longer leg of a right triangle is22 cm more than six times the length of the…

A: To convert the given word problem into equations and find the sides of the triangle

Q: The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the…

A: The length of a rectangle is 3 centimeters more than 3 times the width. The perimeter of the…

Q: The length of the longer leg of a right triangle is 6m more than twice the length of the shorter…

A: Here we use pythagorus theorem to solve the problem.

Q: The length of a rectangle is 55 meters less than 44 times the width. If the perimeter is 80 meters,…

A:

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

A: Let x = length In question, we are given width, w = 2x - 7 Area of any rectangular shape =…

Q: The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions…

A:

Q: Half the perimeter of a rectangle garden, whose length is 4 m more than its width, is 36 m. Find the…

A: Let l be the length and w be the width of the rectangular garden.

Q: The length of a rectangle is 5 inches less than twice its width. If the perimeter is 24 inches, find…

A: Use formula :area of rectangle=length×width

Q: The length of a rectangle is 3 inches more than the width. If the area is 40 square inches, what are…

A:

Q: The product of a number and 8 is smaller than 7 less than a number

A: Let the number be x. Product of number and 8= 8x

Q: The length of a rectamgle is 7 inches more than 5 times its width. The area of the rectamgle is 6…

A: we have given width and area of the rectangle .  We have to find the perimeter of the rectangle

Q: Four times the square of a number decreased by 6 is equal to seven times the number increased by 9.…

A:

Q: The sum of a positive number and twice its square is 11.88. What is the number.

A: Given, let us take a positive number be

Q: The sum of the squares of two consecutive natural numbers is 313 . Find the numbers

A:

Q: The length of a rectangle is twice the width. If the perimeter is 42 inches, what are the length and…

A: If l is length and w is width then 1. Perimeter of rectangle= 2*(l+w).

Q: The product of two numbers is 25. What is the smallest possible sum of their squares?

A: Given information: The product of two numbers is 25.  Calculation: Consider x and y are two numbers.…

Q: The area of a rectang

A: Given, the area of a rectangular barny 64 square feet its length is 8 feet longer than twice its…

Q: The sum of 2 numbers is 14. If the difference of their squares is 56. What are the numbers?

A: Given,  Sum of 2 numbers = 14 difference of 2 numbers = 56 let x, y be 2 numbers

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: 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: 5.The area of a rectangular lawn is 660 square feet. If the length of the lawn is 27 feet less than…

A:

Q: The length of a picture is 7.75 inches shorter than twice the width. If the perimeter of the picture…

A:

Q: The difference of the square of a number and 24 is equal to 5 times that number. Finc the negative…

A: let us consider the number is x then according to given condition the difference of x2 and 25 will…

Q: The square root of the sum of two consecutive integers is 3. What is the larger number?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The square of a number is equal to six tim number plus 18. What is the number?

A: ` 1.The square of a number is equal to six times the number plus 18.

Q: Twice the length of a rectangle is equal to four times its width. The perimeter of a rectangle is 80…

A: Let l and w be the length and width of the rectangle, respectively.Given that, twice the length of a…

Q: Twice a number plus the square root of the number is twelve minus the square root of the number.

A: According to the given information:Let the number be ‘x’So, according to given question:

Q: The sum of the square of a number and 12 times the number is −27. Whatis the smaller possible value…

A: Let the number is = x So, The sum of the square of a number and 12 times the number is −27 is…

Q: If the square of the number is added to 3 times the number, the number is 108. Find the number.

A: We have to find the number if square of the number is added to 3 times the number then number is…

Q: The sum of the squares of two negative numbers is 97 and the difference of their squares is 65. Find…

A: Let the two numbers be x and y (both negative) respectively.Then we have

Q: The length of a rectangle is one more than four times its width. If the perimeter of the rectangle…

A:

Q: A rectangle has a length that is three feet more than twice it’s width. What would the perimeter of…

A:

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

A:

Q: The square of a number equals nine times that number. Find the number.

A: Assume number be x

Q: The sum of a number and its square is 56. Find the number.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.