Answer: each of the students took 1/4 of an eraser home.
Step-by-step explanation:
On the last period our teacher had 1/2 of an eraser left. She gave it equally to 2 students. This means that the amount of eraser that each student takes home would be
(1/2)/2 = 1/2 × 1/2 = 1/4 of an eraser. Converting to decimal, it becomes 0.25 of an eraser.
Answer:
So, exist 18564 different possibilities.
Step-by-step explanation:
We know that the eighteen passengers get on an airport shuttle at the airport. The shuttle has a route that includes six hotels, and passengers get off the shuttle at their hotel.
We calcuate how many different possibilities exist that eighteen passengers can choose six hotels. We get:

So, exist 18564 different possibilities.
Just think of slope as the rate of change
Answer:
17x(1 - 2y)
Step-by-step explanation:
Given
17x - 34xy ← factor out 17x from each term
= 17x(1 - 2y) ← in factored form
Answer:
The minimum unit cost is equal to $15,339
Step-by-step explanation:
Let
x ----> the number of engines
C ---> the cost in dollars to make each airplane engine
we have

This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent the minimum of the parabola
The minimum unit cost is equal to the y-coordinate of the vertex
Convert the quadratic equation into vertex form
Factor 0.5

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares
----> equation into vertex form
The vertex is the point (100,15,339)
The y-coordinate of the vertex is 15,339
therefore
The minimum unit cost is equal to $15,339