If you know that 
, then you know right away
###
Otherwise, you can derive the same result. Let 
, so that 
. 
is bounded, so we know 
. For these values of 
, we always have 
.
So, recalling the Pythagorean theorem, we find
Then
as expected.
<span>12/25=x/88
12(88)=25(x)
1056=25x divide both sides by 25
x=42.24</span>
The answer is #2. 3/2. The dot rises 3 lines and moves to the right 2 lines.
37x + 45y = 7940
75x + 45y = 10,410
Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.
In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).
Now you have 75x + (7940 - 37x) = 10,410
Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410
Subtract 7940 from both sides and you have 38x = 2470.
Divide both sides by 38 and you have x = 65
To solve for y, take you first equation (or even the second one) and substitute c for 65.
(37 x 65) + 45y = 7940
2405 + 45y = 7940
Subtract 2405 from each side.
45y = 5535
Divide each side by 45 and you have y = 123
Regular tickets = $65
VIP tickets = $123
Answer:
5.1x - 1.49y
Step-by-step explanation:
We need to add or substract like terms.
like terms are the terms that have the same variable, in this case:
3.27x and 1.83x are like terms, and adding them we get:
3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)
we do the same for the terms with 'y':
1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:
1.28y −2.77y = -1.49y
the final answer is the conjunction of the two results that we obtained:
5.1x - 1.49y
