four numbers have the sum of 9900. the second exceeds the first by 1/7 of the first. the third exceeds the sum of the first two by 30. the fourth exceeds the sum of the first by 300. find the four numbers.

Q: Four consecutive odd integers have a sum of 96. Find the second smallest number.

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Q: 8. The sum of half of a number and 49 is 2 늘 of the 4. number. Find the number.

A: The sum of half of a number & 49 is 214 of the number.

Q: The sum 1 + 2+ 3+ ... +n is equal to one three-digit number with the same digits. Determine that…

A: Given the sum is three digit number with the same digit , let the number be aaa Hence 1+2+3+...+n =…

Q: bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how…

A:

Q: Two numbers have a sum of 96. If one number is p, express the other number in terms of p. .... The…

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Q: two joiners and five mates earn 1824 between them for a particular job. if a joiner earn 72 more…

A: Here is the solution:

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

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Q: Jawana and Tyreek are siblings. The sum of their ages is 40. Tyreek is 8 years older than twice his…

A:

Q: Daniel is 4 times as old as Charlie. He is also 27 years older than Charlie. How old is Daniel?…

A: Solution: Let  the age of charlie =x  Acc to question Daniel age = 4(Charlie age)=4x.…

Q: Five Painters can paint two rooms in 7 hours. How many rooms can a painter paint in 1 hour?

A: We can solve this question by two methods:-

Q: Find three consecutive odd integers whose sum is 483

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Q: A train traveled 317 miles in 10 hours. At this rate, how many miles will the boat travel in 2 1/2…

A: 79.25 miles

Q: In a two digit number ,the tens digit is three times the units digit .when the number is decreased…

A: Let , The unit digit = x Digit at ten's place = 3x Then, Number is given as 10*3x + x = 31x If digit…

Q: A recipe requires 1/2 cup of flour for every batch of cookies. How many FULL batches of cookies can…

A: given that  12 cup of flour for every batch of cookies. we have   512  cups of flour…

Q: A fireman is on the middle step of a ladder. There are the same number of steps above him as below…

A: Solution: The objective is to find how many total steps does ladder have

Q: A three digit number whose hundreds is twice the tens digit and the tens digit is 3 more than the…

A: GIVEN: A three-digit number whose hundreds is twice the tens digit and the tens digit is 3 more than…

Q: The ten’s digit of a number is 3 less than the unit’s digit. If the number is divided by the sum of…

A: Let x be the unit's digit and x - 3 be the ten's digit of  the number. First, we formulate an…

Q: Find two numbers whose sum is 24 and whose product is as large as possible

A: Solution: The objective is to find the two numbers whose sum is 24 and whose product is as large as…

Q: Jane's mother is 3 times as old as Jane. In 14 years, she will be twice as old as Jane is then. How…

A: Here I am attaching image so that you understand each and every step. Jane's mother is 42 years old.

Q: 6. The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as…

A:

Q: Take a sheet of paper and tear it in half. Place the two pieces of paper on top of each other, and…

A: Given,  A sheet of paper and tear it in half. Place the two pieces of paper on top of each other,…

Q: a FIND FOUR CONSEeuTIVE ODD INTEGERS WHOSE SuM IS 4,968. b) IF EIGHT TIMES A CERTAIN NUMBER IS…

A: Given: a) four consecutive odd numbers whose sum is 9968 b)If 8 times a certain number is increased…

Q: (1) Four-Fifths of the sum of a number and 13 equal 6 times the number, find the number.

A: The solution are next step..

Q: What two numbers have a sum of 8 and a product of 16?

A:

Q: 4) The sum of two consecutive even integers is at most 400. Find the pair of integers with the…

A: Assume   Two Even integers are 2n and 2n+2 as per condition : (2n)+(2n+2)≤4004n+2≤4004n≤398n≤99.5

Q: When 22 is decreased by triple a number the result is then.

A: Let the number be n.

Q: A farmer feed a cow 9300 milligrams of an antibiotic. Every hour, 50% of the drug breaks down in the…

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Q: Each day ben collects 8 rocks and discards of half each day. How many days will it take ben to…

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Q: The sum 1 + 2+3+ ...+n is equal to one three-digit number with the same digits. Determine that…

A: The sum of first n natural numbers can be represented by the formula:  1+2+3+……+n=n(n+1)2  . The…

Q: Over five days Nikia ran a total of 10.2 miles. On each of the first four days, she ran the same…

A:

Q: The first term and the last term of an AP are17 and 350 respectively.If the common difference is…

A:

Q: A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age…

A:

Q: Adding 3 to five times a number gives the same result as subtracting 5 from six times the number.

A: Solution:GivenAdding 3 to five times a number gives the same result as subtracting 5 from six times…

Q: Two numbers when multiplied equals 36. If one number is x and the other number is greater than x by…

A: Given informationOne number is x and other number is greater than x by 5

Q: Find 3 consecutive even integers such that the sum of the second and the third integers is equal to…

A: take 2n,   2n+2,  2n+4. as three consecutive even integers.  Then perform the operation as said in…

Q: 5 If 990 is decreased by 3 times a number, it results in the number decreased by 30. Find the…

A: (5) if 990 is decreased by 3 times a number, it results in the number decreased by 30. we have to…

Q: A light bulb consumes 12600 watt-hours in 5 days and 6 hours. How many watt-hours does it consume…

A: Given Data: The consumption of electricity by a light bulb is: C=12600 watt-hours The time taken to…

Q: If four times a number added to 3 is vidived by the number plus 7, the result is seven halves. find…

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Q: How many gallons of an 80% acid solution must be mixed with 60 gallons of a 14% solution to obtain a…

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Q: Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the…

A:

Q: Sum of the present ages of two friends are 23 years, five years ago the product of their ages was…

A: The solution of given problem is given as follows :

Q: The sum of three integers is 295. The sum of the first and second integers exceeds the third by 99.…

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Q: Two numbers differ by 3 and their product is 504 .Find the number

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Q: painted a picture that is 4 inches longer than it is wide. If I put a I-inch frame around my…

A:

Q: A student imagined one number.2 is written to the right side of the number and 14 is added to the…

A: We can solve for the given question using elementry operations. We can write a number in the form…

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.