At 10:00 AM, Gavin rented a mountain bike. He returned the bike at 3:00 PM, having gone 30 miles. He paid $33 for the rental. Fi
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Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.
Given that the area is greater than or equal to 8 square feet and image is attached below.
We want to find the missing inequality x in the form of inequality.
The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.
As we know the area of a triangle is half the product of the base and the height.
First of all, we will find the area of the triangle by substituting the given values we get
Area=(1/2)×Base×height
Area=(1/2)×x×10
Area=5x ......(1)
Assume that this area is greater than or equal to 8 square feet.
That means Area≥8ft² ......(2)
Now we will balance equation (1) and equation (2), we get
5x≥8ft²
Furthermore, they we will divide both sides by 5 we get
(5x)/5≥8/5
x≥8/5
x≥1.6
Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².
Learn more about the dimension from here brainly.com/question/13271352
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