The sum of the first 10 terms of a G.P. is equal to 244 times the sum of first 5 terms. Find common ratio.

Q: The average score of boys is 60, that of girls is 70 and that of all the candidates is 64 appearing…

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Q: The value of the car depreciates at 10.75% per year. What will the value of the car be, to the…

A: In this question given with initial amount and the depriciation of the car per year we have to find…

Q: In a certain examination the average grade of all students in class A is 68.4 and students in class…

A: Given  x̄A=68.4, x̄B=71.2, x̄combined=70

Q: The distance between two cities is 1700 km. How long will it take, in hours, to drive from one city…

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Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A: To find the two digit number whose sum of the digits be 15 .

Q: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By what percent is…

A: To Determine: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By…

Q: 1. Maxine and Sammie have lawns that are the same size. Maxine can mow her lawn in 24 minutes and…

A: we have been given that Maxine mow her lawn in 24 minutes  and Sammie mow her lawn in 36 minutes

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: How many short lines are equal to the space between 2 long line on a ruler? How many eighths are…

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Q: A number is divided into two parts, such that the first part is 20 more than the second part. If the…

A: Given that, the number is divided such that first part is 20 more than second part. Ratio of first…

Q: A box contains the same number of blue and red marbles. If we put 3 red marbles and 1 blue marble,…

A:

Q: What is the ratio of 8 minutes to 8 hours, reduced to its lowest terms?

A: Given  T1=8 minutes T2=8 Hours

Q: If the sum of the first n even natural numbers is 420, find the value of n

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Q: There must be a ratio of 1 adult to each 10 children at a school dance

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Q: The ratio of the number of apples to the number of oranges at a fruit stall is 8:3. After 28 oranges…

A: ratio of apple to oranges is 8:3 assume number of apples = 8xnumber of oranges = 3x

Q: 10 Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number of points…

A: Given that Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number…

Q: The sum of the first n terms of a GP is 189. If the first term and the second term of the GP are 3…

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Q: The ratio of three numbers is 7: 3:2. These three numbers have a sum of 228. What is the difference…

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Q: 1. The sum and difference of two numbers are 50 and 16, respectively. Find the numbers.

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Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: If a number is divided by 4, then 3 is subtracted, the result is 0. What is the number?

A: Let the number is x.x is divided by 4, then 3 is subtracted.That is given by (x/4)-3

Q: 2. The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. If…

A: Given, Total students = 720 No. of BoysNo. of Girls=35

Q: A large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9 hours. How…

A: Given that a large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9…

Q: The denominator of a fraction is 4 more than twice the numerator. When both the Numerator and…

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Q: The sum of the ages of the father and his son is 99. If the age of the son is added to the inverted…

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Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: Given that, Let number is xy, According to question, x+y = 13...........(1) and xy + 27 = yx or…

Q: The average of five quantities is 10 and the average of three of them is 9. What is the average of…

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Q: A lizard is at the bottom of a 17​-footwell. Each day it crawls up 3 ​feet, but each night it slips…

A: 17 foot well  Crawls up              3 ft  Slips back               1 ft Considering trial…

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: In an A.P., the sum of the last four terms is 20, the product of the second term and the fifth term…

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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: We know that, 2+3+4+.....+n=nn+12 We have to find one three digit number with the same digits as the…

Q: The difference between. Two positive numbers is 40 and the ratio of these integers is 1 : 3 . Find…

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Q: A sum of money was divided amongst three people in the ratio of 8:3:5.If the smaller share was K720…

A: A sum of money was divided amongst three people in the ratio of 8:3:5The smaller share is 720, To…

Q: The sum of mABand mBC'is equal to A

A:

Q: Two numbers a and b are in the ratio 3:2. If both numbers are increased by 2, the ratio of resulting…

A: We are given a:b = 3:2 ....(i) If a and b is increased by 2 that is (a+2) and (b+2) Then,…

Q: A 12 ft board is to be cut into three​ pieces, two​ equal-length ones and the third 9 in. shorter…

A: 1 ft = 12 inches   Let “x” be the length of two equal parts and the third is 9 inches shorter then…

Q: 2 cars start at the same time from 2 towns 792 kilometers apart and meet in 9hours. One car can…

A: Topic = Algebra

Q: The sum of first seven terms of an AP is 182 . If its 4 th and 7th terms are in the ratio 1:5 , Find…

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Q: If a savings account pays 3% simple annual interest, a deposit of $250 will earn $______ in 2 years.…

A: The formula of Simple interest is, SI=principal amountp×rater×timet100 it is given that rate is 3%…

Q: To complete a job, father requires 9 days less than his son. Together they can complete the job in…

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Q: Cheen is now five times as old as Monokuma was 5 years ago. If the sum of Monokuma’s and Cheen’s…

A: topic - linear equation in two variables

Q: The sum of first seven terms of an AP is 182 . If its 4 th and 17th terms are in the ratio 1:5 ,…

A:

Q: A) One person can complete a task in 5 hours, and another can complete the same task in 6 hours. How…

A: One person can complete a task in 5 hours, and another can complete the same task in 6 hours.

Q: Every musician in the band plays either the fife or the drum (but not both). The ratio of fifers to…

A: Every musician in the band plays either the fife or the drum (but not both). Given the ratio of…

Q: if a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours?

A: Given that, The number of miles person can walks is, 2.4 miles The number of hours person can walks…

Q: If there are 104 participants in the math camp and the ratio of the number of men to women is 5:3.…

A: Ratio of x to y represented by x:y and x:y=xy and similarly y:x=yx . Suppose x:y=4:3 which imply…

Q: A taxi cab in myrtle beach charges 2$ per mile and 1$ for every person. If a taxi cab ride for two…

A: Given  charges for 1 mile = $2  Charge for one person = $1

Q: if a turtle moves at 1 1/3 mph how long will it take him to travel 9 miles

A: turtle moves at 113 mph to find how long will it take him to travel 9 miles