Answer:
It's an integer.
Step-by-step explanation:
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
Answer:
p = -0.05m + 22
Step-by-step explanation:
As given in question,
The relation between the price and demand can be given by,
where is p is price and x is demand.
Since in order to sell 300 cards the price has to be fix at $7.
So,
7 = 300m+b <u> </u> (1)
And for every additional card they need to drop the price by $0.05.
So,
7-0.05 = 301m+b
=>6.95 = 301m + b<u> </u> (2)
Subtracting equation (1) from equation (2), we will have
6.95 - 7 = 301m - 300m
=>m = -0.05
By putting the value of m in equation (1), we get
7 = 300.(-0.05)+b
=> b = 22
So, the linear equation that show the relation between price and demand is given by
p = -0.05m + 22
SInce you are wanting to find the distance between the game store and furniture store, you will want to add 16.7 km and 18 km so that you will have the total distance between the two stores.
(Train station) 25.4 km (Game store) 16.7 km (Radio Tower) 18km (Furniture store)
34.7 km is your final answer.
