Supply reasons to justify the steps: StepsReasons1. y = 122. 5x = 2x + y3. 5x1. Given2. Given3. _?4.2x + 124. Зx125. x = 45.?

We have to find the value of x for 5x=2x+y when y=12. Given the value of y, y=12 and given…

Answered: Steps Reasons 1. y = 12 2. 5x = 2x + y…

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

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3.) Mr. Richards and Mr. Dolge each began improving their yards over the summer by buying bags of soil (fancy dirt) and bags of mulch (bark dust). Since Mr. Dolge has access to a truck, Mr. Richards got a ride and as a result they got their supplies from the same store. Mr. Dolge spent $97 on 3 bags of soil and 14 bags of mulch. Mr. Richards got 14 bags of soil and 7 bags of mulch for $161. They forgot to get a receipt, but just in case they need more supplies, they are wondering how much each bag of soil will cost, and how much each bag of mulch will cost. What should they find these prices to be?
For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration?(b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…
(q.16 f.e) Please show full work and make it match these two answers, Full-time : 6; Part-time: 4 QUESTION: Monica gave each of the full time employees in her small business a year-end bonus of $500 while each part time employee received $250. She gave a total of $4000 in bonuses to her 10 employees. How many full time employees and how many part time employees did Monica have? Thank you.

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Steps Reasons 1. y = 12 2. 5x = 2x + y 3. 5x 1. Given 2. Given 3. _? 4. 2x + 12 4. Зx 12 5. x = 4 5. ?