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Question:
Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After 3 hours, Sumit who had gone to a famous beach, calls on the mobi... |
Question:
There are 7 players in a bowling team with an average weight of 121 kg. If two new players join the team, one weighs 110 kg and the second weighs a certain amount, the new average weight is 113 kg. What is the weight of the second new player?
Answer:
Let's denote the weight of the second new player as x kg.
... |
Question:
Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After some hours, Sumit who had gone to a famous beach, calls on the m... |
Question:
There are 7 players in a bowling team with an average weight of 121 kg. If two new players join the team, one weighs a certain amount and the second weighs 60 kg, the new average weight is 113 kg. What is the weight of the first new player?
Answer:
Let's denote the weight of the first new player as X kg.
Th... |
Question:
There are some players in a bowling team with an average weight of 121 kg. If two new players join the team, one weighs 110 kg and the second weighs 60 kg, the new average weight is 113 kg. How many players were originally in the team?
Answer:
Let's denote the original number of players in the team as \( n \... |
Question:
the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 30 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ?
Answer:
Let's assume the original o... |
Question:
The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 30%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Answer:
Let's assume the original output ... |
Question:
A student scored an average of 70 marks in 3 subjects: physics, chemistry, and mathematics. If the average marks in physics and mathematics is 90, and that in physics and chemistry is 70, what are the marks in physics?
Answer:
Let's denote the marks in physics as P, in chemistry as C, and in mathematics as M... |
Question:
What is the smallest integer k for which 64 ^ k > 4 ^ 19?
Answer:
To find the smallest integer k for which 64^k > 4^19, we can express both sides of the inequality in terms of a common base. Since 64 is 4^3 (because 4 * 4 * 4 = 64), we can rewrite the inequality as:
(4^3)^k > 4^19
Now, we can apply the exp... |
Question:
what is the smallest integer k for which 64 ^ k > 4 ^ 19 ?
Answer:
To find the smallest integer k for which 64^k > 4^19, we can start by expressing both sides of the inequality in terms of the same base. Since 64 is 4^3 (because 4 * 4 * 4 = 64), we can rewrite the inequality as:
(4^3)^k > 4^19
Now, we can ... |
Question:
A student scored an average of some marks in 3 subjects: physics, chemistry, and mathematics. The average marks in physics and mathematics is 90, and that in physics and chemistry is 70. The student scored 110 marks in physics. What is the average marks the student scored in the 3 subjects?
Answer:
Let's den... |
Question:
A student scored an average of 70 marks in 3 subjects: physics, chemistry, and mathematics. The average marks in physics and some other subject is 90, and that in physics and chemistry is 70. The student scored 110 marks in physics. What is the other subject with which the average is 90?
Answer:
Let's denote... |
Question:
A student scored an average of 70 marks in 3 subjects: physics, chemistry, and mathematics. The average marks in physics and mathematics is 90, and that in physics and some other subject is 70. The student scored 110 marks in physics. What is the other subject with which the average is 70?
Answer:
Let's deno... |
Question:
a student scored an average of 70 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ?
Answer:
Let's denote the marks in Physics as P, in Chemistry as C, and in Mathematics a... |
Question:
What is the smallest integer k for which 64 ^ k > 4 ^ some number, and the result is 7?
Answer:
To find the smallest integer k for which 64^k > 4^some number and the result is 7, we need to express both 64 and 4 as powers of the same base to make the comparison easier.
64 can be expressed as 2^6 (since 64 =... |
Question:
The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by some percentage. The output of the factory would now have to be decreased by approximately 30.07% to restore the original output. By what percent was the output increased to h... |
Question:
In a 3-digit number, the 100 digit is 2 more than the tens digit and the units digit is some relation to the tens digit. The sum of the digits is 27. What is the relation between the units digit and the tens digit, if the number is 1197?
Answer:
It seems there is a mistake in the question. You mentioned that... |
Question:
In a 3-digit number, the 100 digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. The sum of the digits is some value. What is the sum of the digits, if the number is 1197?
Answer:
The number you've provided, 1197, is not a 3-digit number; it is a 4-digit number. However, I ... |
Question:
The output of a factory is increased by some percentage to keep up with rising demand. To handle the holiday rush, this new output is increased by 30%. The output of the factory would now have to be decreased by approximately 30.07% to restore the original output. By what percent was the output initially incr... |
Question:
What is the smallest integer k for which 64 ^ k > some number ^ 19, and the result is 7?
Answer:
Let's call the "some number" x. We are looking for the smallest integer k such that:
64^k > x^19 = 7
First, let's find x by taking the 19th root of both sides:
x = 7^(1/19)
Now, we need to find the smallest i... |
Question:
In a 3-digit number, the 100 digit is some relation to the tens digit and the units digit is 2 less than the tens digit. The sum of the digits is 27. What is the relation between the 100 digit and the tens digit, if the number is 1197?
Answer:
There seems to be a mistake in the question. You mentioned that i... |
Question:
What is the smallest integer k for which some number ^ k > 4 ^ 19, and the result is 7?
Answer:
To find the smallest integer k such that some number ^ k > 4 ^ 19, and the result is 7, we need to find the smallest k such that 7^k > 4^19.
First, let's express 4^19 in terms of a base 7 exponent to make the com... |
Question:
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase a certain number of widgets. Nina has $24. How many widgets can she purchase if the cost of each widget is reduced by $1?
Answer:
If Nina has exactly enoug... |
Question:
Nina has enough money to purchase some widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase 8 widgets. Nina has $24. How many widgets can she purchase at the original price?
Answer:
Let's call the original price of each widget "P" dollars.
If the cos... |
Question:
nina has exactly enough money to purchase 6 widgets . if the cost of each widget were reduced by $ 1 , then nina would have exactly enough money to purchase 8 widgets . how much money does nina have ?
Answer:
Let's denote the original cost of each widget as \( C \) dollars. Nina has enough money to purchase ... |
Question:
If some factorial minus 2 * (5!)^2 is divisible by 10^n, and the greatest value of n is 5, what is the factorial?
Answer:
Let's denote the unknown factorial as x!. We are given that x! - 2 * (5!)^2 is divisible by 10^n, where the greatest value of n is 5. This means that the expression is divisible by 10^5 =... |
Question:
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by a certain amount, then Nina would have exactly enough money to purchase 8 widgets. Nina has $24. By how much should the cost of each widget be reduced?
Answer:
Let's denote the original cost of each widget as \( C... |
Question:
If 10! - 2 * (some factorial)^2 is divisible by 10^n, and the greatest value of n is 5, what is the factorial?
Answer:
Let's denote the unknown factorial as x!, so we have:
10! - 2 * (x!)^2 is divisible by 10^5.
Since 10! is divisible by 10^5, the term 2 * (x!)^2 must also be divisible by 10^5 for the diff... |
Question:
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
Answer:
Let's denote the original cost of each widget as \( W \) dollars. Nina has enough money to purchase 6 wid... |
Question:
if 10 ! - 2 * ( 5 ! ) ^ 2 is divisible by 10 ^ n , what is the greatest value of n ?
Answer:
To find the greatest value of n for which 10! - 2 * (5!)^2 is divisible by 10^n, we need to simplify the expression and find the highest power of 10 that divides it.
First, let's simplify the expression:
10! - 2 * ... |
Question:
If 10! - 2 * (5!)^2 is divisible by 10^n, what is the greatest value of n?
Answer:
To find the greatest value of n for which 10! - 2 * (5!)^2 is divisible by 10^n, we need to determine the highest power of 10 that divides the expression.
First, let's calculate 10! and (5!)^2:
10! = 10 × 9 × 8 × 7 × 6 × 5 ×... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts 12 oxen for 5 months, and c puts 15 oxen for some months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. For how many months did c put his oxen for grazing?
Answer:
To solve this problem, we ne... |
Question:
Two brothers, Ram and Ravi, appeared for an exam. The probability of selection of Ram is 5/7 and that of Ravi is 1/5. What is the probability that both of them are selected?
Answer:
The probability of both Ram and Ravi being selected is the product of their individual probabilities of being selected.
So, t... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts 12 oxen for some months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. For how many months did b put his oxen for grazing?
Answer:
Let's denote the number of m... |
Question:
two brothers ram and ravi appeared for an exam . the probability of selection of ram is 5 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected .
Answer:
To find the probability that both Ram and Ravi are selected, we need to multiply the individual probabilities of their select... |
Question:
Two brothers, Ram and Ravi, appeared for an exam. The probability of selection of Ram is some value, and that of Ravi is 1/5. The probability that both of them are selected is 0.14285714285714288. What is the probability of selection of Ram?
Answer:
Let's denote the probability of selection of Ram as P(Ram).... |
Question:
a, b, and c rent a pasture. a puts some oxen for 7 months, b puts 12 oxen for 5 months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. How many oxen did a put for grazing?
Answer:
To solve this problem, we need to find the s... |
Question:
find the mean proportional between 49 & 64 ?
Answer:
The mean proportional between two numbers, A and B, is the square root of their product. In this case, the two numbers are 49 and 64.
To find the mean proportional, we calculate the square root of the product of 49 and 64:
√(49 * 64)
First, multiply 49 ... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts 12 oxen for 5 months, and c puts some oxen for 3 months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. How many oxen did c put for grazing?
Answer:
To solve this problem, we need to calculate ... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts 12 oxen for 5 months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is Rs. 210. How much amount should c pay as his share of rent?
Answer:
To determine how much each person should pay, we need to calculate the product of t... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts some oxen for 5 months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. How many oxen did b put for grazing?
Answer:
To solve this problem, we need to calculate ... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for 7 months, b puts 12 oxen for 5 months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is some amount. c pays Rs. 53.99999999999999 as his share of rent. What is the total rent of the pasture?
Answer:
To find the total rent of the pasture, w... |
Question:
Two brothers, Ram and Ravi, appeared for an exam. The probability of selection of Ram is 5/7, and that of Ravi is some value. The probability that both of them are selected is 0.14285714285714288. What is the probability of selection of Ravi?
Answer:
Let's denote the probability of selection of Ravi as P(Rav... |
Question:
There are 2 consecutive numbers, 17 and 18, which when added give a sum divisible by 5. There are 40 such pairs of consecutive numbers less than 200 when added gives a sum which is divisible by 5. What is the sum of 17 and 18?
Answer:
The sum of 17 and 18 is:
17 + 18 = 35
This sum is divisible by 5, as 35 ... |
Question:
Find the mean proportional between 49 and 64. What is the mean proportional?
Answer:
The mean proportional between two numbers, A and B, is the square root of their product. It is also known as the geometric mean.
To find the mean proportional between 49 and 64, we calculate the square root of their produc... |
Question:
Find the mean proportional between a number and 64, if the mean proportional is 56.5. What is the number?
Answer:
The mean proportional between two numbers, say x and y, is the square root of their product. If we denote the mean proportional as m, then we have:
m = √(x * y)
Given that the mean proportional... |
Question:
a, b, and c rent a pasture. a puts 10 oxen for some months, b puts 12 oxen for 5 months, and c puts 15 oxen for 3 months for grazing. The rent of the pasture is Rs. 210. c pays Rs. 53.99999999999999 as his share of rent. For how many months did a put his oxen for grazing?
Answer:
To solve this problem, we ne... |
Question:
Find the mean proportional between 49 and a number, if the mean proportional is 56.5. What is the number?
Answer:
The mean proportional between two numbers, A and B, is the square root of their product. If the mean proportional is given as M, then we have:
M = √(A * B)
Given that the mean proportional M is... |
Question:
A certain percentage of a number is 10 less than 3/5th of that number. The number is 100. What is the percentage?
Answer:
Let's call the number "N" and the percentage we're looking for "P". We are given that N = 100.
According to the problem, P% of N is 10 less than 3/5th of N.
First, let's find 3/5th of ... |
Question:
a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 210 , then how much amount should c pay as his share of rent ?
Answer:
To determine how much each person should pay for the rent of the pas... |
Question:
50% of a number is 10 less than a certain fraction of that number. The number is 100. What is the fraction?
Answer:
Let's call the number x and the fraction f. We are given that x = 100.
According to the problem, 50% of the number (which is 0.5 * x) is 10 less than f times the number (which is f * x).
So w... |
Question:
50% of a number is a certain amount less than 3/5th of that number. The number is 100. What is the difference between 50% and 3/5th of the number?
Answer:
Let's calculate 50% of the number 100 first:
50% of 100 = 0.50 * 100 = 50
Now let's calculate 3/5th of the number 100:
3/5 of 100 = (3/5) * 100 = 60
N... |
Question:
There are 2 consecutive numbers, one of them is 17, which when added give a sum of 35, which is divisible by 5. There are 40 such pairs of consecutive numbers less than 200 when added gives a sum which is divisible by 5. What is the other number in the pair?
Answer:
If one of the consecutive numbers is 17, t... |
Question:
There are 2 consecutive numbers, one of them is 18, which when added give a sum of 35, which is divisible by 5. There are 40 such pairs of consecutive numbers less than 200 when added gives a sum which is divisible by 5. What is the other number in the pair?
Answer:
If one of the consecutive numbers is 18, t... |
Question:
50 % of a number is 10 less than 3 / 5 th of that number . what is the number ?
Answer:
Let the number be x.
According to the problem, 50% of x is 10 less than 3/5 of x.
50% of x can be written as (50/100) * x or 0.5 * x.
3/5 of x can be written as (3/5) * x.
So, the equation based on the problem statemen... |
Question:
50% of a number is 10 less than 3/5th of that number. What is the number?
Answer:
Let's denote the number as x.
According to the problem, 50% of the number (which is 0.5 * x) is 10 less than 3/5th of that number (which is (3/5) * x).
So we can write the equation as:
0.5 * x = (3/5) * x - 10
To solve for ... |
Question:
If a - b = 3 and a^2 + b^2 = 27, find the value of ab.
Answer:
We can solve this problem by using the given equations.
We have:
1) a - b = 3
2) a^2 + b^2 = 27
We need to find the value of ab.
We can use the identity (a - b)^2 = a^2 - 2ab + b^2 to express ab in terms of a and b.
From equation 1), we can s... |
Question:
If a - b = 3 and a^2 + b^2 = some value, the value of ab is 9. What is the value of a^2 + b^2?
Answer:
Let's solve this step by step.
We are given:
1) \( a - b = 3 \)
2) \( ab = 9 \)
We want to find the value of \( a^2 + b^2 \).
We can start by squaring both sides of equation 1 to get a relation that incl... |
Question:
If a - b = some value and a^2 + b^2 = 27, the value of ab is 9. What is the value of a - b?
Answer:
Let's denote the value of \( a - b \) as \( x \). We are given that \( a^2 + b^2 = 27 \) and \( ab = 9 \).
We can use the identity \( (a - b)^2 = a^2 - 2ab + b^2 \) to express \( x^2 \) in terms of \( a \) an... |
Question:
if a - b = 3 and a ^ 2 + b ^ 2 = 27 , find the value of ab .
Answer:
Let's solve the system of equations step by step.
Given:
1) a - b = 3
2) a^2 + b^2 = 27
From equation 1, we can express a in terms of b:
a = b + 3
Now, let's substitute this expression for a into equation 2:
(b + 3)^2 + b^2 = 27
b^2 + 6b... |
Question:
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder . the dividend is ?
Answer:
Let's denote the following variables:
- Divisor: D
- Quotient: Q
- Remainder: R
- Dividend: V
From the problem statement, we have the followi... |
Question:
Using the digits 1, 2, and 4, with each digit used only once in each number, the sum of all possible 3-digit numbers that can be constructed is 1554. What is the first digit of the largest 3-digit number that can be constructed?
Answer:
To find the first digit of the largest 3-digit number that can be constr... |
Question:
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1 , 2 , and 4 if each digit can be used only once in each number ?
Answer:
To find the sum of all possible 3-digit numbers that can be constructed using the digits 1, 2, and 4, with each digit used only once in each nu... |
Question:
Using the digits 1, 2, and 4, with each digit used only once in each number, the sum of all possible 3-digit numbers that can be constructed is 1554. What is the first digit of the second smallest 3-digit number that can be constructed?
Answer:
To find the first digit of the second smallest 3-digit number th... |
Question:
There are 50 employees in the office of ABC Company. Some employees have taken an accounting course, 14 have taken a course in finance, and 15 have taken a marketing course. 10 of the employees have taken exactly two of the courses, and 1 employee has taken all 3 of the courses. 11 employees have taken none o... |
Question:
Using the digits 1, 2, and 4, with each digit used only once in each number, the sum of all possible 3-digit numbers that can be constructed is 1554. What is the first digit of the smallest 3-digit number that can be constructed?
Answer:
To find the first digit of the smallest 3-digit number that can be cons... |
Question:
Using some digits, with each digit used only once in each number, the sum of all possible 3-digit numbers that can be constructed using the digits 1, 2, and 4 is 1554. How many digits are used to construct these 3-digit numbers?
Answer:
To find the sum of all possible 3-digit numbers that can be constructed ... |
Question:
If 1 = x, some number = 2x, 3 = 4x, ..., then some expression involving x equals 10. What is the number that equals 2x?
Answer:
Given that 1 = x, we can use this to find the value of x. Since 1 = x, it means x = 1.
Now, we are asked to find the number that equals 2x. Since we know x = 1, we can substitute x... |
Question:
A number when divided by some divisor gives a number which is 8 more than the remainder obtained on dividing the same number by 34. The least possible number x is 75. What is the divisor?
Answer:
Let's denote the unknown divisor as D and the number as x. According to the problem, when x is divided by D, the ... |
Question:
A number when divided by 5 gives a number which is some more than the remainder obtained on dividing the same number by 34. The least possible number x is 75. What is the difference between the quotient and the remainder?
Answer:
Let's denote the number as \( N \).
According to the problem, when \( N \) is ... |
Question:
the closest approximation of a ( 69.28 × 0.004 ) / 0.03 is
Answer:
To approximate the value of (69.28 × 0.004) / 0.03, we first perform the multiplication and then the division:
69.28 × 0.004 = 0.27712
Now we divide this result by 0.03:
0.27712 / 0.03 ≈ 9.237333...
The closest approximation would be:
≈ ... |
Question:
If 1 = x, 2 = 2x, some number = 4x, ..., then 2x * some expression involving x equals 10. What is the number that equals 4x?
Answer:
Let's denote the number that equals 4x as "n". We are given that 2x * some expression involving x equals 10.
To find the value of n, we need to determine the value of x first... |
Question:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. What is the least possible number x?
Answer:
Let's denote the number we are looking for as x.
According to the problem, when x is divided by 5, the quotient is 8 more than the remainder w... |
Question:
What is the closest approximation of (69.28 × 0.004) / 0.03?
Answer:
To approximate the value of (69.28 × 0.004) / 0.03, we first perform the multiplication and then the division:
69.28 × 0.004 = 0.27712
Now we divide this result by 0.03:
0.27712 / 0.03 ≈ 9.237333...
The closest approximation would be:
... |
Question:
If 1 = x, 2 = 2x, 3 = 4x, ..., then 2x * 6x + 5x / some expression involving x equals 10. What is the number that, when multiplied by x, is the divisor in the expression?
Answer:
Let's first simplify the given expression:
2x * 6x + 5x / some expression involving x = 10
We can see that 2x * 6x is 12x^2 and ... |
Question:
If 1 = x, 2 = 2x, 3 = 4x, ..., then 2x * 6x + 5x / 4x - some expression involving x equals 10. What is the number that, when multiplied by x, is subtracted from the expression to get 10?
Answer:
Let's first simplify the expression given:
2x * 6x + 5x / 4x - some expression involving x = 10
We can simplify ... |
Question:
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number x is
Answer:
Let's denote the number we're looking for as x.
According to the problem, when x is divided by 5, the quotient is 8 more than the remainder when... |
Question:
The closest approximation of a (69.28 × 0.004) / some number is 9.237333333333334. What is the number?
Answer:
To find the number, we can set up the equation:
(69.28 × 0.004) / some number = 9.237333333333334
First, let's calculate the value of (69.28 × 0.004):
69.28 × 0.004 = 0.27712
Now we have:
0.277... |
Question:
If 1 = x, 2 = 2x, 3 = 4x, ..., what is the value of 2x * 6x + 5x / 4x - 56x?
Answer:
Let's first find the pattern in the sequence given:
1 = x
2 = 2x
3 = 4x
It seems that the pattern is that the number on the left is equal to 2 raised to the power of one less than that number, all multiplied by x. So, for ... |
Question:
The closest approximation of a (69.28 × some number) / 0.03 is 9.237333333333334. What is the number?
Answer:
To find the number, we can set up the equation:
(69.28 × some number) / 0.03 = 9.237333333333334
First, we can multiply both sides of the equation by 0.03 to get rid of the division:
69.28 × some ... |
Question:
The closest approximation of a (some number × 0.004) / 0.03 is 9.237333333333334. What is the number?
Answer:
To find the number, we can set up the equation:
(some number × 0.004) / 0.03 = 9.237333333333334
Let's call the "some number" x. Then we have:
(x × 0.004) / 0.03 = 9.237333333333334
Now we can so... |
Question:
if 1 = x . 2 = 2 x 3 = 4 x . . . . what is 2 x * 6 x + 5 x / 4 x - 56 x
Answer:
To solve the expression 2x * 6x + 5x / 4x - 56x, we need to understand the pattern given:
1 = x
2 = 2x
3 = 4x
...
It seems that the pattern is doubling the multiplier of x for each consecutive number. So, for the number 4, it w... |
Question:
If 1 = x, 2 = 2x, 3 = 4x, ..., then 2x * 6x + some expression involving x equals 10. What is the number that, when multiplied by x, is added to the expression to get 10?
Answer:
Let's first find the pattern in the given sequence:
1 = x
2 = 2x
3 = 4x
It seems that each number n is represented by 2^(n-1) * x... |
Question:
Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 8 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Answer:
Let's denote the numbe... |
Question:
Mark and Ann together were allocated a certain number of boxes of cookies to sell for a club project. Mark sold some boxes less than the total allocated number and Ann sold 2 boxes less than the total allocated number. If Mark and Ann have each sold at least one box of cookies, but together they have sold les... |
Question:
Mark and Ann together were allocated a certain number of boxes of cookies to sell for a club project. Mark sold 8 boxes less than the total allocated number and Ann sold some boxes less than the total allocated number. If Mark and Ann have each sold at least one box of cookies, but together they have sold les... |
Question:
mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 8 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ?
Answer:
Let's denote the ... |
Question:
the maximum number of students among them 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer:
To find the maximum number of students among whom 890 pens and 630 pencils can be distributed equally, we need to find the... |
Question:
The maximum number of students among whom 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is?
Answer:
To find the maximum number of students among whom 890 pens and 630 pencils can be distributed equally, we need to find the ... |
Question:
The sum of two numbers is 72, and one of them is 12 more than the other. If one of the numbers is 30, what is the other number?
Answer:
Let's call the other number x. According to the problem, we have two equations:
1) The sum of the two numbers is 72:
x + 30 = 72
2) One of the numbers is 12 more than the ... |
Question:
The sum of two numbers is a certain value, and one of them is 12 more than the other. The two numbers are 30 and 42. What is the sum of the two numbers?
Answer:
The sum of the two numbers 30 and 42 is:
30 + 42 = 72
Therefore, the sum of the two numbers is 72. |
Question:
The sum of two numbers is 72, and one of them is a certain amount more than the other. The two numbers are 30 and 42. What is the difference between the two numbers?
Answer:
The difference between the two numbers is:
42 - 30 = 12
So, the difference between the two numbers is 12. |
Question:
A certain number of students can be distributed with the same number of pens and same number of pencils. The maximum number of students is 10, and there are 890 pens. How many pencils are there?
Answer:
Let's denote the number of students as S, the number of pens as P, and the number of pencils as L. We are ... |
Question:
The sum of two numbers is 72, and one of them is 12 more than the other. If one of the numbers is 42, what is the other number?
Answer:
Let's call the other number x. According to the problem, we have two equations:
1) The sum of the two numbers is 72:
x + 42 = 72
2) One of the numbers is 12 more than the ... |
Question:
A certain number of students can be distributed with the same number of pens and same number of pencils. The maximum number of students is 10, and there are 630 pencils. How many pens are there?
Answer:
Let's denote the number of students as S, the number of pens each student gets as P, and the number of pen... |
Question:
Laura took out a charge account at the general store and agreed to pay a certain percentage of simple annual interest. She charges $35 on her account in January. A year later, she owes $38.15, assuming she does not make any additional charges or payments. What is the interest rate on her account?
Answer:
To ... |
Question:
Laura took out a charge account at the general store and agreed to pay 9% simple annual interest. She charges $35 on her account in January. How much will she owe a year later, assuming she does not make any additional charges or payments?
Answer:
To calculate the amount Laura will owe a year later, we need ... |
Question:
the sum of two numbers is 72 , and one of them is 12 more than the other . what are the two numbers ?
Answer:
Let's call the two numbers x and y, where x is the larger number. According to the problem, we have two equations:
1) x + y = 72 (the sum of the two numbers is 72)
2) x = y + 12 (one number is 12 mo... |
Question:
Laura took out a charge account at the general store and agreed to pay 9% simple annual interest. She charges a certain amount on her account in January. A year later, she owes $38.15, assuming she does not make any additional charges or payments. How much did she charge on her account in January?
Answer:
To... |
Question:
laura took out a charge account at the general store and agreed to pay 9 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?
Answer:
To calculate the amount Laura will owe a year later,... |
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