Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1. What number when divided by 2, 5, 7, 11 and 17 you'll get -17, -11,-7,-5 and -2 respective remainders? 2. Find the remainder of 156! 10024497 mod157 using Fermat Theorem and Wilson's Theorem. 3. Find the residue of 20211202 mod2022 using Euler's Theorem. 4. Find all the solutions of the congruence 5x = 10mod15.

Q: The coordinate system to universally convert geometry to algebra and vv.

A: The Cartesian coordinate system to universally convert geometry to algebra and w.

Q: Mr X's age is three times my age. The sum of our ages is 40. How old am I? How old is mr x?

A: Let Mr X’s age is x and my age is y.It is given that; Mr X’s age is three times my age.Implies that,

Q: Solve In(5x + 7) = 8. Round to the nearest thousandt

A:

Q: bill can shovel the snow from the walk in 45 minutes. When Carol helps him, they can shovel th walk…

A:

Q: Solve for x: 3* = 53

A: Here we apply logarithm to find the value of x.

Q: Solve for x: 3* = 23

A: Given, 3x = 23  We have to solve for x.

Q: S is 4 years older than J. 8 years ago, s was twice as old than J. What are the ages of S & J?

A: Let the age of S be x years, then the age of J is (x - 4) years, because S is 4 years older than J.

Q: Ke Yi's average for her first 3 tests is 88. What must she score on her last test to bring her…

A: You must have the idea of average and how to find average of a set of numbers.

Q: Sara is 6 years older than her brother. In 5 years she wil be twice as old as her brother. What is…

A: suppose sara age=x     her brother age=y x=6+y.........1 in 5 years (X+5)=2(y+5)

Q: Zachary is making a 60-second video about pollution from video clips. He already used three clups…

A: Zachary is making a 60-second video about pollution from video clips. He already used three clips…

Q: Lisa can paint the bedroom in 6 hours, and Vicky can paint it in 9 hours. Working together, how many…

A: Given: Lisa can paint the bedroom in 6 hours, and Vicky can paint it in 9 hours

Q: Given the graph of the polynomial function, determine its equation: 6- 4 2- 0 -2- -4- H 2 3 4 X

A:

Q: 9(10*-2) = 34. %3D

A:

Q: A deep sea diver begins at -57 feet below sea level. He travels at 5 feet a minute. How many minutes…

A: Given, a deep sea diver begins at -57 feet below sea level and he travels at 5 feet a minute. To get…

Q: Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?

A:

Q: Solve for x: 6* = 35

A:

Q: A college student takes the same number of credits each semester. She had 8 credits when she…

A: A college student takes the same number of credits each semester. She had 8 credits when she…

Q: Simon is a third of his dads age. In 12 years his dad will be twice as old as Simon. What are their…

A:

Q: Dana records TikToks for 20 minutes a day, every day. How many hours does she spend recording…

A:

Q: Gregory was p years of age 4 years ago. In terms of p, How old will he be in 4 years from now?

A:

Q: Arturo is 54 years younger than Jennifer. 6 years ago, Jennifer's age was 3 times Arturo's age. How…

A: The objective is to find Arturo's age .

Q: 5 years ago a dad was 6 years older than 3 times his son's age at that time.  In 4 years, he will…

A: Let the dad is x years old and son is y years old now. 5 years ago dad was (x-5) and son was (y-5)…