Let G be a finite group and let K < H< G. Show that [G: K] = [G: H][H: K].

Q: Jameson wants to save up his money to buy a car. His parents said they will match what he saves, up…

A: Consider the given: Let x represents the amount of money that Jameson can save. Maximum money,…

Q: process to solve each problem. 1. Tara has 15 state quarters and 10 silver dollars in her coin…

A: We have to find the how many silver dollars did Tara's dad give her.

Q: Sven has $1 and a dime in his pile. Dayna has 11 dimes in her If Sven gives Dayna $1 and Dayna gives…

A: We need to explain whether the two piles mentioned in the problem will be equal in value or not if…

Q: 3. Extend: Can you solve a problem with 3 variables and 3 equations?! Alex, Betty, and Cara, went to…

A: The total money spent by each person is $5. Alex bought 2 chocolate bars, 2 sour key, and 4…

Q: 1-2-4 メ-4

A:

Q: Kenny uses of the chocolate syrup bottle for every scoop of ice cream that he eats. How many scoops…

A:

Q: Jason has four more than twice as many $1 bill in his pocket then Eric if p is the number of $1…

A: In the given question, concept of equation is applied. Equation Equations in mathematics aren't…

Q: A bank teller has a total of 73   bills in​ five-, ten-, and​ twenty-dollar denominations. The…

A: Given - A bank teller has a total of 73 bills in​ five-, ten-, and​ twenty-dollar denominations. The…

Q: Santa and Mrs. Claus were given the same number of dollars by the elves. Santa earned money doing…

A:

Q: Logan and his children went into a restaurant and where they sell drinks for $3 each and tacos for…

A: Given: Logan and his children went into a restaurant where they sell drinks of $3 each and tacos for…

Q: Julio's car can travel 300 miles on one 12-galion tank of gas. Viet's car uses gas as described by…

A:

Q: Solve by the elimination method. 2x - y = 8 x+4y=31 Select the correct choice below and, if…

A: 2x - y = 8  . . . . . . (1)  x + 4y = 31 . . . . . . . . (2)  We multiply both sides of equation (2)…

Q: y used - of his money on 3 pens and 6 notebooks. The cost of each pen is 3 times 4 2 cost of each…

A: Let total amount of money belonging to Roy is M. Since the cost of each pen is 3 times the cost of…

Q: James had some cookies. He put -im of the cookies into 15 containers and 2 5 of the cookies into 6…

A: Sol:- Let's start by using algebra to solve the problem. Let x be the total number of cookies that…

Q: Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam has $7…

A: Given, Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam…

Q: A bank teller has a total of 63 bills in​ five-, ten-, and​ twenty-dollar denominations. The total…

A: We can form two equations from the given information,  x + y + z = 63 5x + 10y + 20z = 730 Using…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.