Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
There are 3,628,800 different ways for the runners to finish.
Answer: Yes, the point (3,4) is a solution to the system.
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Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
Answer:
x = y + 8
Step-by-step explanation:
Given
y = x - 8 ( add 8 to both sides )
y + 8 = x
The employees that drive to work is 380
The total number of employees that drive to work is 660
<h3>How many employees drive to work?</h3>
A fraction is a non integer that is made up of a numerator and a denominator. A fraction is used to express the ratio or the relationship between two or more quantities. An example of a fraction is 1/2.
The number of employees that drive to work can be determined by multiplying the fraction of the employees that drive to work by the total number of employees.
Employees that drive to work = 2/3 X 570 = 380
In order to determine the employees that drive to work, take the following steps:
Determine the total number of employees : 3 x 330 = 990
The total number of employees that drive to work: 2/3 x 990 = = 660
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
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