A boy imagined a four-digit multiple of 5 with different digíts. If the first digit is erased, the obtained number is multiple of 9. If the second digit of the imagined numbe is erased, the obtained number is multiple of 11. If the third digit of the imaginec number is erased, the obtained number is multiple of 7. What number a boy imagined?

A boy imagined a four-digit multiple of 5 with different digíts. If the first digit is erased, the obtained number is multiple of 9. If the second digit of the imagined numbe is erased, the obtained number is multiple of 11. If the third digit of the imaginec number is erased, the obtained number is multiple of 7. What number a boy imagined?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

Q: The ten's digit in a two-digit number is 2 greater than the one's digit. If we interchange the…

A: Topic- Linear equations We are given The ten's digit ina two digit number is 32 greater than the…

Q: Of 16 possible books, you plan to take 3 with you on vacation. How many different collections of 3…

A: See the handwritten solution

Q: the final exam score is higher. If a student's four test scores are 81, 65, 34, and 88, what is the…

Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: given data , a toy company is going to issue new ID codes to its employees. each code will have one…

Q: A time traveler can take 4 books with him, and he has 54 books to choose from. How many different…

A: The objective of this question is to find out the number of ways the time traveler can select 4…

Q: There is a factory that makes widgets in different colors. The production time for each color is…

A: To determine the largest number of widgets that can be placed in each box if it is required that…

Q: Of 13 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: Of 13 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: Luna told her friends that she was thinking of a number with the same digit in the ones and the…

A: To determine a number with the same digit in the ones and the thousands place (odd or even).

Q: One person starts a rumour about how awesome math is. That person tells 8 people in about 1 hour. If…

Q: Your friend wants to perform a magic trick and asks you to draw 2 cars from a standard deck of 52.…

A: There are 52 cards in a standard deckIf you choose randomly two cards in a deck, place the first…

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

Q: The average age of the students in Class A is more than 11 years old. If ten out of the eleven…

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

The length of one diagonal of a
rhombus is a geometric mean
of the length of the other
diagonal and the length of the
side. Find angle measures of a
rhombus.

A boy imagined a four-digit
multiple of 5 with different
digits. If the first digit is
erased, the obtained number
is multiple of 9. If the second
digit of the imagined number
is erased, the obtained
number is multiple of 11. If
the third digit of the imagined
number is erased, the
obtained number is multiple
of 7. What number a boy
imagined?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Find the number of different ways that an instructor can choose 5 students from a class of 13 students for a field trip.
There is another surprising way of characterizing the ged. For two numbers a and b, we think about all the numbers you can get by adding multiples of a and b together. We can imaging this by thinking of a and b as dollar values of bills and then asking what prices can paid with them. For example, if your country only issues a 6 dollar bill and a 14 dollar bill, can you buy something that costs 10 dollars? Yes - you pay with two 14 dollar bills and get three 6 dollar bills back in change. Can you buy something that costs 15 dollars? No - all the bills are worth an even number of dollars so there is no way to get an odd net transaction. Formulated more abstractly: Let S(a, b) = {na + mb : n, m e Z}. Problem 0.1. If c is a common divisor of a and b then c|s for all s E S(a,b) Problem 0.2. If s e S(a, b) then gcd(a, b)|s. Problem 0.3. If s e S(a, b) then sx e S(a, b) for all a € Z Problem 0.4. If S(a, b) = Z if and only if 1 E S %3D Problem 0.5. The set S(0,0) is {0}. For any other a and b…
Find the number of different ways that an instructor can choose 7 students from a class of 23 students for a field trip.
Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take? You can take different collections of 6 books on vacation with you.
The following is known about three numbers: Three times the first number plus the second number plus twice the third number is 5. If 3 times the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. If the third number is subtracted from 2 times the first number and 3 times the second number,the result is 1.(b) Find the numbers using ??????′? ?????
Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE. How many ways can we stack the 10 blocks?
A math teacher asks each student to create a password to gain access to her website. The password has 5 digits. She makes up some rules for the students to follow in their password selection. The first digit must be a multiple of 1. The second digit must be a multiple of 2. The third digit must be a multiple of 3, and so on. How many possible passwords are there?
Is it possible for two numbers to have the same least common multiple and greatest common devisor?
In a class of 60 students , 40 students like math, 36 like math science, 24 like both the subject find the number of students who like Math only, either math or science, neither math, science only
Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange the 7 songs on the playlist? Allan can arrange the 7 songs on the playlist in different ways.
A combination has 3 characters. The first is a letter(26 letters A-Z), The second and third characters are numbers 0-9, but cannot repeat the same number. How many possible combinations are there?
Your company wants to assign identification numbers to each of its employees. The identification number will contain 5 numbers followed by 3 letters. If repetition is allowed, how many identification numbers can be generated? Show your work.