21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
Check the picture below.
the constant of proportionality, namely the slope, for the original rectangle will just be 4/2 = 2, and for the dilated version shown that he did, it'll be 20/10 = 2.
part B)
we know the slope is 2, or 2/1 so then
Answer:
<em>2(x - 1) - 1 = 3(x + 1) - 6 - x</em>
<em>There are infinitely many solutions.</em>
Step-by-step explanation:
<u>Equations</u>
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
Answer:You cannot take the square root of a negative number
Step-by-step explanation:
Answer:
number one is not equal and number two is equal on the first page.
number three is x=1.8 and number four is x=45 on the second page.
number five is x=4.5 cups on the third page.
Step-by-step explanation:
