1,2,4,8 (when divided by 32, the result is a whole number. This means that they can be multiplied to make 32)
Step-by-step explanation:
U = (x - 5)
V = y^3
because we follow the rule
(U+V)^2 = U^2 + 2UV + V^2
factor the expression will be
![((x - 5) + {y}^{3} )((x - 5) + {y}^{3} )](https://tex.z-dn.net/?f=%28%28x%20-%205%29%20%2B%20%20%7By%7D%5E%7B3%7D%20%29%28%28x%20-%205%29%20%2B%20%20%7By%7D%5E%7B3%7D%20%29)
Step-by-step explanation:
Let adults = a and children = c,
(1) a + c = 1100
(2) 48a + 23c = 45300
From the (1) equation, a = 1100 - c
Then substitute a = 1100 - c into (2),
48(1100 - c) + 23c = 45300
52800 - 48c +23c = 45300
-25c = -7500
c = 300
Substitute c = 1500 into a = 1100 - c,
a = 1100 - 300
a = 800
Therefore, 800 adults and 300 children bought the tickets
Thank you ! You have done all the heavy lifting for us,
and given us the expression in factored form.
The factors are (y - 2) and (x + 3) .