Answer:
D
Step-by-step explanation:
A squared plus B squared equals C squared
Answer: An adult ticket cost $12
A child ticket cost $5
Step-by-step explanation:
Let x represent the price for one adult ticket.
Let y represent the price for one child ticket.
A movie theater sold 4 adult tickets and 7 children's tickets for $83 on Friday. It means that
4x + 7y = 83 - - - - - - - - - - - -1
The next day the theater sold 5 adult tickets and 6 children tickets for $90. It means that
5x + 6y = 90 - - - - - - - - - - - -2
Multiplying equation 1 by 5 and equation 2 by 4, it becomes
20x + 35y = 415
20x + 24y = 360
Subtracting, it becomes
11y = 55
y = 55/11 = 5
Substituting y = 5 into equation 1, it becomes
4x + 7 × 5 = 83
4x + 35 = 83
4x = 83 - 35 = 48
x = 48/4 = 12
Answer:
True
Step-by-step explanation:
Hope this helps :)
Answer:
2a + 8√b
Step-by-step explanation:
√9a² = 3a
√49b = 7√b
and
3a + 7√b - a + √b = 2a + 8√b
One integer is m.
The other integer is n.
n = 23m + 5
mn = 6732
m = 6732/n
n = 23 * 6732/n + 5
n = 154,836/n + 5
n^2 = 154,836 + 5n
n^2 - 5n - 154,836 = 0
n = [5 +- sqrt(25 + 4 * 154,836)]/2
n = (5 +- 787)/2
n = 396 or n = -391
We discard -391 because the problem is looking for positive integers.
mn = 6732
m = 6732/n = 6732/396
m = 17
Answer: The integers are 17 and 396.