Answer:
A stadium has 49000 seats.
Seats sell for $25 in Section A, z
$20 in Section B,-------------------x seats
$15 in Section C. ------------------y seats
(x+y)=z
25(x+y)+20x+15y=1052000
25x+25y+20x+15y=1052000
45x+40y=1052000
/5
9x+8y=210400------------------1
2x+2y=49000
/2
Step-by-step explanation:
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
6 pints: 17 pints
It means that there is 6 pints of strawberry ice cream in every 17 pints of ice cream total
Answer: HRP = 40°
Explanation:
Angle EPN = 40°
But EPN = HRP (corresponding angle)
Because EP//HR
Therefore EPN = HRP = 40°
