A rectangular plot of farmland is to be constructed on one side of a river and with the other three sides to be surrounded by a single- strand wire fence. What is the largest area that can be enclosed if you have 500 meters of wire? Your answer should be an integer.

Q: (c) Express 624 as the sum of the least possible number of squares of integers.

A: The given question is solved below.

Q: 7x + 63

A:

Q: An example of subtracting positive and negative integers that would result in a negative answer…

A:

Q: Give an example of a positive number and a negative number whose product is between the two factors.…

A: First number = -2 And second number = 1/2

Q: What two integers have a product of -63 and a sum of -2?

A:

Q: What is the length of −3a if ||a|| = 5?

A: Given that a=5 we need to find the length of -3a. Recall that the length of a vector v is given by…

Q: (b) Express 346 as the sum of the least possible number of squares of integers.

A: Question: Express 346 as the sum of the least possible number of squares of integers.

Q: If a number is added to the numerator of 3/10, and twice as much is added to the denominator, the…

A: Let the added number be x. And the given fraction is 310.

Q: Now that we know multiplying a number by 10 can be accomplished by moving all the digits one place…

A: Decimal number is a number in which whole number part and fractional part are differentiated by a…

Q: The student noticed that if he writes a multiplication sign between the second and third digit of…

A:

Q: What is 1x34

A: To find: 1x34

Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: how can i didvide a number that have an x on it for example 3x+5

A: Topic:- algebra  Lets assume (3x+5) divided by 6

Q: what will be the remainder in 52020 is divided by 6?

A:

Q: Determine whether the statement is true or false, "3 is an even integer and 3 is less than 5."

A:

Q: With 2.4 million digital subscribers, a top-ranked magazine has 1150% more digital subscribers than…

A: Given query is to find magazine subscribers of third ranked magazine.

Q: Find the largest two-digit integer that leaves the remainders 2 and 3 when divided by 5 and 7.

A: Let x be the largest two-digit number which gives the remainder 2 and 3 when divided by 5 and 7 The…

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: (d) Express 496 as the sum of the least possible number of squares of integers.

A: The given question is solved below.

Q: Which pair of integers have a product of -30 and a sum of -13?

A: Let x and y be the numbers.

Q: what is 10 x 3

A:

Q: The hourly operating cost of a Boeing 747, which seats up to 405 passengers, is $5135. If the…

A: Let there be n passengers in the flight required to break even.Airline charges $100 per hour per…

Q: Find 4 numbers in ap whose sum is 20 and the sum of whose squares is 120

A: Let the numbers in A.P be (a−3d),(a−d),(a+d),(a+3d).

Q: Find the four numbers in AP whose sum is 20 and the sum of whose squares is 120.

A: Numbers are said to be in AP there is constant difference between them

Q: What is 2=x+5/x+3

A: Multiply both sides by x and solve the quadratic equation by sridhar Acharya process

Q: Find the two integers whose difference is 2 and whose product is 18

A: There are no factors for 18 whose difference is 2 I have solved using normal procedure

Q: Find the Least Common Denominator (LCD) of : (x + 2) / (2x - 3) and 4 / (x + 3).

A: x+22x-3 and 4x+3Least common denominator is the product of the denominators, if the denominators are…

Q: How could you find an unknown number missing from a fact triangle?

A:

Q: The product of any four consecutive integers is divisible by 24.

A: We will use basic knowledge of integers and congruences to solve this question.  The question says…

Q: A boy imagined five positive integer numbers and told his friend that the sums of four out of tive…

A: Let the five integers are a, b, c, d, e   Given that the sum of four out of given integers are 186,…

Q: List all the pairs of integers with a product of 30. Then find a pair whose sum is 13

A:

Q: Explain how to find n! if n is a positive integer.

A: Given that the term n!.

Q: Express as a single fraction 4 (b) x+ 2 (x + 2)2

A:

Q: If you subtract 1 - 1 that equals zero. Would 0 have an opposite (-0) or would it just be a neutral…

A:

Q: The product of two conseccutive non-negative odd integers is 783. What are the integers?

A: It is given that the product of two consecutive non-negative odd integers is 783. Let the two…

Q: The sum of two integers with diff fit this description. 10

A: Given : To determine the two integers that will fit the condition            +          = -10

Q: What is the answer to 3x/8 = 6/x

A: First we perform cross multiplication to get rid of fractions.And then we divide both sides by 3, to…

Q: length of 3x inches and a width of 4x + 5 inches.

A:

Q: give an example of a positive and a negative number whose product is somewhere between the two…

A: We know that    - 0.5< -(0 .25 )<0.5 We use this fact further.

Q: If Mario drives at a rate of 70 miles per hour, how long will it take him to drive 560 miles? It…

A:

Q: What is 5/6 x 2/4

A: There are four elementary aruthmetic operations which are addition, subtraction, multiplication and…

Q: How can you find 50% of a number quickly in your head?

A: So let me explain how can you find 50% of a number quickly in your head So a % is something in 100…

Q: Explain why an integer divided by 0 is not possible.

A: Note that, the ratio of division is r=ab, where a is the dividend and b is the divisor. From r=ab,…

Q: When Mr. Smith cashed a check at his bank, the teller mistook the number of cents for the number of…

A: (7) Actual amount motioned in Mr. Smith's check be x dollars and y cents. That is 100x+y cents. But,…

Q: Find the perimeter of a square whose side length is described by the expression 2m- 3

A:

Q: Give an example of a positive number and a negative number whose product is between the two factors.…

A: Explanation of the answer is as follows

Q: What is true about the sign of the difference when a positive integer is subtracted from a negative…

A: