In the following, find the quotient and remander according to the division algorithm, when n is divided by m. (a) n=42,m=9. (b) n=−42,m=9.

Q: A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the…

A:

Q: Kevin is creating lollipop bouquets using 15 cherry lollipops and 18 orange lollipops. He wants each…

A: Given     Cherry lollipops =15     Orange lollipops =18

Q: A spinner with 5 equal sides slices has 3 yellow slices, 1 red slice, and 1 blue slice. Ivana spun…

A: Given Outcome Yellow Red Blue Number of spins 21 10 9

Q: Barry Roque ordered ponkans and mangoes at a total cost of P 839.00. If ponkans were sold to him at…

A: Using the given conditions we can find answer only by trial and error method.

Q: Use the formula for nCr to solve, Of the 100 people in the U.S. Senate, 18 serve on the Foreign…

A: Of the 100 people in the U.S. Senate, 18 serve on the Foreign Relations Committee.

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

A:

Q: jamie and adam volunteer at a recycle sorting center. jamie sorts 3 bins in 2 hours.adam sorts 3…

A: We will use simple work formula to find answer to the problem .

Q: In an election for Homecoming King, 500 votes are tallied for 3 candidates: Bobby, Frank, and Hao.…

A: A detailed solution is given below.

Q: Julia starts school at 8:45, and it takes her 15 minutes to get to school, what time will she get…

A: Adding the time it takes to reach the school to the start time gives time she reaches the school

Q: In a GP the 8th term is 384 and the 3rd term is 12. Find the sum of the first 10 terms

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Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

Q: The bookstore markod some notepads down from $3.00 but stil kopt the price over $2.00. It sold all…

A: NOTE: Refresh your page if you can't see any equations. . so the price of a notepad is between $2 to…

Q: Today Ebuka opened a new cereal box. He ate a bowl of the cereal, which was 8% of the cereal in the…

A: In this question, we need to find the number of bowls of cereal Ebuka gets from the box.

Q: Two couples​ (Adam/Brenda and​ Carl/Darlene) have bought tickets for four adjacent seats to see a…

A: Given,no.of women=2no.of men=2Total no.of people=4

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: The list shows the number of bottles of strawberry jam sold in a day by different vendors: 19, 16,…

A: Given data is 19,16,10,12,15,13,9,11,17,15,18,20sample size(n)=12

Q: 5. Smith spends $123 buying 8 shirts of two brand names, one brand sells for $12 and the other sells…

A:

Q: The number of patients needing a bed at any point in time in the pediatrics unit at Carver Hospital…

A: Given Mean =19.2 Standard deviations=2.5

Q: In the Division Algorithm, the rational expression r(x)/d(x) is ________ because the degree of r(x)…

A: Division Algorithm: It can be written as          f(x)d(x)=q(x)+r(x)d(x)

Q: If you add a number that has a remaineder of 1 when it is divided by 3 to a number that has a…

A: There is a basic formula: Dividend=Quotient·Divisor+Remainder, where, Dividend is the number which…

Q: the Farmes, Sings, and the Smiths live in houses with numbers that are consecutive even integers…

A: Assume that Farms,Sings and the Smiths live in houses with numbers x-1,x,x+1 respectively.It is…

Q: Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he…

A:

Q: Divide, using the polynomial long division algorithm. Fill in your work below. R b+ 2 262 + b + 0b?…

A: Here we divide using long division method.

Q: at pizzas pi, 40% of the pizzas made last week had extra cheese. if 10 pizzas had extra cheese, how…

A:

Q: Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep…

A: Solution :-

Q: She wants to divide the class into teams of the same size, where each team has the same number of…

A: Given data:   The total number of girls is G=25. The total number of boys is B=35.   The factors for…

Q: In how many ways can 6 volunteers be assigned to 6 booths for a charity bazaar?

A:

Q: If a girl saved P25 on the first day, P28 the second day, P31 the third day, and so on, how many…

A:

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A:

Q: Suppose a pizza was cut into eight slices of equal size. If Peter got three slices and Janice got 1,…

A: see  below the answer

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: Two sailors were marooned on an island. They worked all day collecting coconuts into a pile, which…

A: Let there is total x+1 coconut.   During the night, one sailor divide the piles as: x2,x2,1……1   He…

Q: While reviweing the previous days arrest report, a police sergeant notices that six suspects were…

A:

Q: A traditional pizza parlor takes 28.8 minutes to cook 4 pizzas in the oven at the same rate. Charlie…

A: pizza parlor takes 28.8 minutes to cook 4 pizzas in the oven at the same rate. Charlie works for 6…

Q: Pam is arranging her photos on the wall. There are 5 spaces on the wall to hang her photos. If she…

A: Given Data: Number of space=5 Number of family=5 Number of landscape=10

Q: If you have 3/12 of an orange how many fourths do you have?

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Q: order fr

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Q: . Christian is selling pencils. He sold of them in die morning and of the remainder in the…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic…

A: Let the first mechanic charges= $x And the second mechanic charges= $y So, sum of two rates: x+y=225…

Q: In a mayoral election, April Catarella received 284 morevotes than Charles Pecot. If Charles…

A:

Q: eilani wants to make 8 placements. For each placement she needs 18 in of fabric. How many yards of…

A: To find the inches of fabric she need for 8 placements

Q: Zekia divides 4 cups of fruit juice equally among 8 friends. Two of her friends do not drink the…

A:

Q: Mary has $17.50 in the past 3 weeks.At this rate,how much will she save in 15weeks?

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Q: Find the remainder of dividing 2907^N by 29, where N = 2805^532. Show all details of your solution,…

A:

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

A:

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different…

A: In this case arrangement matters.  So we will use the permutation method.  He has to pick 6 pieces…

Q: Mark is covering the top of a table with some left-over ceramic tiles. How many patterns can he make…

A: To Find: How many patterns can he make if he uses 3 blue tiles, 2 yellow and one each ofwhite, red…

Q: When lupe was aksed to factor 26x55 into a product of prime numbers, she first multiplied 26x55=…

A: Introduction: It is required to express 26 × 55 as a product of prime numbers.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.