Answer:
The number of reserved seat is 120 and number of general seat is 640.
Step-by-step explanation:
Given,
Total number of seats = 760
Total collected Money = $3280
Solution,
Let the total number of reserved seat be x.
And the total number of general seat be y
Hence total number of seats is the sum of total number of reserved seat and the total number of general seats.
So the equation can be written as;

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.
So the equation can be written as;

Now, multiplying equation 1 by 4 and then subtract it from equation 2.


On substituting the value of x in equation 1, we get;

Thus the number of reserved seat is 120 and number of general seat is 640.
Answer:
a. 
b. 
c. 
Step-by-step explanation:
a. 
b. 
c. 
Answer:
16
Step-by-step explanation:
4(x - 1)2 + 3y
12-4+2+6
8+2+6
10+6
16 i think
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:

Now all we gotta do is solve for x:

Now we use either splitting the middle term or quadratic formula:

Now we split each terma and solve for x:

Now the question states <em>positive </em>so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11