How many zeros does 25! end with?

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to…

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Q: Solve    In 5/3

A: According to the natural logarithm quotient rule, lnxy=ln x-ln y. Expand the expression ln 53 by…

Q: A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees pläntec…

A: Given 24 trees per row1235 trees to plant

Q: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: . Bricks are stacked in 20 rows such that each row has a fixed number of bricks more than the row…

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Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

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Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: how many coefficients must be determined?

A:

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

Q: 2) The product of an even number and any other number is even.

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Q: 1. Find the number of zeroes at the end of 100!

A: Introduction :Here, we have asked for the number of zeros at the end of 100 !

Q: a) Find the number of positive integers not exceeding 120 that are divisible by 3 or 4.

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Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: A student has scores of 78, 77.25, and 81.75 on his first three tests. He needs an average of at…

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Q: How many integers will there be on the number line between the numbers 2.09 and 15.3?

A: There will be 13 integers between 2.09 and 15.3 on the number line.

Q: A person is knitting a baby blanket that will consist of four triangles arranged to form a square.…

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Q: What two nonnegative real numbers with a sum of 23 have thelargest possible product?

A: we have to find the two non negative real number with a sum of 23 which will have largest possible…

Q: How many 4-digit numbers can you make using the digits 1-9 without repeating the digits? *

A: We will solve the problem.

Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: Find the sum of all integers that are multiples of 3 from 4 to 100.

A: We have to find the sum of all integers that are multiples of 3 from 4 to 100 Then, If A denotes the…

Q: How many numbers consisting of five different digits can be made from the digits (0, 1 , 2, 3, 4, 5,…

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Q: The number of positive integers not exceeding 750 that are divisible by 3. 4. and 7 is: *

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Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

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Q: how many 6 digit numbers can be formed, if at the place of hundred thousand there are allowed two…

A: Yes your step is right.Hundredth thousand place can be chosen in 2 ways. And hundredth place can be…

Q: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

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Q: Two integers, a and b, have a product of 48. What is the least possible sum of a and b? The least…

A: Answer is a+b= -49. Explanation is given below...

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

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Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: Find the least natural number a with the property that the sum a + 2a + 3a + .. + 9a is the number…

A: Given sum is  a+2a+3a+4a+5a+6a+7a+8a+9a

Q: How many zeroes does 188! end with?

A: count number of five's in 188, 5*2=10 . Divide 188 and write quotient again divide quotient again by…

Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n&gt;-3

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: How many integers must you pick in order to be sure that at least two of them have the same…

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Q: How many distinct integers do we have to pick in order to have two that have the same remainder when…

A: To find - How many distinct integers do we have to pick in order to have two that have the same…

Q: Show that every odd integer is the sum of two consecutive integers

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Q: 4. ( it as linear combination of both numbers. Find the greatest common divisor of the numbers 1520…

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Q: The sum of an integer and 4 less than that integer is even.

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Q: How many zeros are there at the end of 1001?

A: This question is related to Number Theory

Q: Find the number of positive integers ≤ 1000 that are not divisible by 5, 13, or 31?

A: .  Symbol of Greatest Integer Function  To Find: Number of positive integers ≤ 1000 that are not…

Q: Find five consecutive odd integers such that when the fifth is subtracted from eigt times the…

A: We're going to solve

Q: How many multiples of 4 lie between 100 and 500?

A: Solution

Q: 5 divides n -n whenever

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Q: (a) How many car number plates can be made if each plate contains 2 different letters followed by 3…

A: Answer: For the given data,

Q: How many different two-digit numbers can be made from the digits 3, 5 and 7 if: (a) the digits can…

A: (a) If digits can be repeated, then following are the possibilities to get a two digit number: 3,3…

Q: What 2 nonnegative numbers with a sum of 23 have the largest possible product?

A: Given information: The two non negative numbers with a sum of 23.  Calculation: Consider x and y are…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.