Algebra Answers

In a world with 2 villages A, B and a straight river, you have a lady in village A that need to fill water in the river and next go to village B. How will she find the point, x on the river such that the time walking in straight line from A to it Ax and from it to B Bx, will be the shortest, minimising Ax +Bx?

3 types of people go to a marriage party.
Type 1 people: 1 man eats in 5 plates. Type 2 people: 1 man eats in 1 plates. Type 3 people: 10 men eat in 1 plate.

You are given that exactly 100 people go to the party and there are exactly 100 plates. So you have to calculate how many people of type 1, type 2 and type 3 will go to the party. Whereby the condition is all the 100 plates should be consumed by 100 people. And no plate will remaining after the party.

Courtney measured off a distance of 115 inches. Dylan said, “Okay, I will time how long it takes your car to travel that distance. I have a stop watch feature on my watch.” Courtney raced her remote control car over the 115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems really fast.” “See, I told you,” said Courtney. “But really how fast is it going?” asked Dylan.
Determine the speed of Courtney’s remote control car and compare its speed to that of a regular car traveling on the freeway. Explain how you found your solution.

In which month was the peak, the largest deposit, made?


A histogram titled Savings Account Deposits has Months on the x-axis and amount deposited on the y-axis. January is 50 dollars; February is 80 dollars; March is 110 dollars; April is 100 dollars: May is 95 dollars; June is 250 dollars; July is 320 dollars; August is 300 dollars; September is 80 dollars.
January
June
July
August

(5x-9)(2x-3x+4)

Jamie's summer homework assignment is to read more then 500 pages of books. She read a book that had 282 pages. She plans to complete the rest of the assignment by reading 20 pages a day. Which inequality can be used to determine the number of days Jamie needs to read to complete her assignment.

There were 508 people at a choral concert. Orchestra seats cost $25 each and a balcony seats cost $18 each. The total receipts were $11,223. Find the number of orchestra seats and the number of balcony seats sold for the concert.

Solution A is 25% acid, and solution B is 40% acid. How much of each is needed to make 60L of a solution that is 30% acid?

A traveling carnival has receipts of $4,275 one day. Twice as much was made on concessions as on the rides. How much did the concession bring in? How much did the rides bring in?

Let Px be a quadratic polynomial such that for distinct realms alpha and beta p-alpha =alpha p-beta=beta show that alpha and beta are roots of p(p(x)) -x=0