3. Can a perfect square leave a remainder of 3 when divided by 7? Justify your answer.

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: Rectangle ABCD with sides of 12 and 5 and rectangle MNOP with sides of 22 and 16. Are the rectangles…

A:

Q: 5. A rectangular field's length is three times its width. If the perimeter is 480 feet, what are the…

A:

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

A:

Q: The owner of the Rancho Grande has 3,004 yd of fencing with which to enclose a rectangular piece of…

A: Given , The owner of the Rancho Grande has 3,004 yd of fencing,

Q: When the length of each side of a square is increased by 5 inches, the area of the resulting square…

A: area of square = side *side

Q: 5) The length of rectangle is 4 cm longer than the width, and the perimeter is at least 48 cm. What…

A:

Q: If a number has n fraction (n>1), then the square of the number has 2n factors is this true

A:

Q: What would it be the coefficient of determination if the sums of squares due to regression (SSR) is…

A: Given: SSR=12.01 SST = 24.51

Q: A square has an area of 36 m2.  If the area is doubled, what happens to the side lengths.

A: A square has an area of 36 m2.  If the area is doubled, then we have to find the side lengths.

Q: 10. The difference of the squares of any two consecutive positive integers, is odd.

A: Given: The difference of the squares of any two consecutive positive integers is odd.

Q: 2. If a number is added to the numerator of 2/7, and twice the number is subtracted from the…

A:

Q: 16 - Write the division problem that Martin solved. 12

A: Here, given that MArtin chose two of the given cards and when he gound quotient of the numbers it is…

Q: s without creating a 2x2 square anywhere?

A:

Q: 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right…

A: In this sum we are going to use the Pythagorean theorem and the concept of similar triangle.…

Q: 1. The size of a Tv screen is given by the length of its diagonal. If the dimension of a TV screen…

A:

Q: The owner ofa ranch has 1,300 yards of fencing material with which to enclose a rectangular piece of…

A:

Q: The sides of a right triangle are 8, 15 and 17 units. If each side is 1.5 times larger than original…

A:

Q: A garden is to be laid out in a rectangular area and protected by a wire fence. What is the largest…

A: Given: We have to find the largest possible area of the rectangular garden, 100 running feet of the…

Q: Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be it new…

A: Area of smaller square is 1×1=1 unit2

Q: What is the bigger perfect square of the square of 27

A: Given, We have to find the  bigger perfect square of the square of 27.

Q: In one city there are four straight streets that form  a square block. The length of each side of…

A: Find the solution below:

Q: hat is the area, in square inches, of a regular octagon with 9-inch sides if the distance from the…

A: To find the area of a regular octagon

Q: A square has a perimeter of 12x + 20. What is the length of one side of the squa O 4x + 5 O 4 (3x +…

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three…

A:

Q: 16. What is the sum of the solutions of 12x + 4|-6 = 8?

A:

Q: 5. What number exceeds its square by the maximum amount?

A:

Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

A:

Q: The perimeter of a rectangle is 160 meters. If a new rectangle is formed byy halving the length of…

A: Refer to the question.Let the length and breadth of a rectangle  be ‘L’ and ‘B’ respectively. Then…

Q: 11. The diagonal of a square is 2 times the length of one side. True False

A: We consider the square and check for the given condition

Q: A triangular-shaped deck has one side that is 5 feet longer than the shortest side and a third side…

A: Solution:

Q: What is the remainder of a divided by m if m|a (m divides a)?

A: If b is remainder of that problem then a=mk+b for some integer k

Q: if the side length of a square is 0.5 what would the square root of the area be?

A: Sol:-Given length of a square=0.5 In a square, all the length(side) are equal.so, are of a…

Q: a) If ¼ of the book is red pages, how much space do the red pages take up? b) If the length of the…

A: (a) The thickness of red pages is 34·1+12=34·32=98 As the base area of the book is 28 sq in, we get…

Q: Find three consecutive even integers such that the square of the third is 68 more than the sauare of…

A: Let 3 consecutive integers are x-2, x, x+2 according to question square of third is 68 more then…

Q: Farmer Ed has 8,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A: LENGTH OF FENCING AVAILABLE = 8000 mAS THE SIDE ALONG THE RIVER IS NOT TO BE FENCED , ONLY 3 SIDES…

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: A number with 100 digits is given. The first two digits of that number are 2 and 9. How many digits…

A: Given:          No.of digits in given number  =100 digits.        The first two digits of that…

Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: NOTE: Refresh your page if you can't see any equations. . the area is given by

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: Trapezoidal  and geometrical area

Q: - List the sides of ABCD in order from least to greatest if mLB = 10x – 28, mLC = 6x - 1, and m<D =…

A: Find sides from least to greatest.

Q: 2. The sum of two nonnegative numbers is 20. Find the number if one number plus the square root of…

A:

Q: A rectangular shipping container has a volume of 1008 cm3.  If the piece of      rectangular…

A:

Q: 1. Use the fact that every division problem can be rewritten as a multiplication problem with a…

A: Since you have asked multiple questions, we are answering the first question for you now. If you…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…

Q: Find the area of the largest circle which can be cut from a square of edge 5in. What is the area of…

A: The largest circle that fits in a square has the diameter = the side of the square.  Given that…

Q: A square pool was surrounded by 3 meters wide Bermuda grass. If the total area of the sidewalk and…

A: Explanation: Given that,  Width of sidewalk = 3 m Total Area = 196 sq. m     Formula Used: Area of…

Q: 5. The area of the rectangular banner should be 6.75 square meters. If the length is to be thrice…

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.