Answer:
$760
Step-by-step explanation:
The number of adult ticket is the same as the number of (age 5-12) tickets.
Let the number of adult ticket be x
Number of (age 5-12) tickets be x
Total ticket sold = 38
x + x = 38
2x = 38
x = 19
Cost of each adult ticket = $23
Total cost for 19 such tickets = 23×19
= $437
Cost of each (age 5-12) ticket = $17
Total cost for 19 such tickets = 19×17
= $323
Total cost of 38 tickets = 437 + 323
= $760
Hence, the total cost of tickets is $760
Step-by-step explanation:
Answer:
(25)^2*(9)^2*(4squreroot2)^2*(7squreroot2)^2
Step-by-step explanation:
5^4*3^3*2^5*343
=(25)^2*(9)^2*(4squreroot2)^2*(7squreroot2)^2
In a 30°-60°-90° triangle, the ratio of the legs is

So if the shorter leg is

, then the longer leg is
In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:
3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180
Then use elimination to get rid of the y variables
10x-4y=180 (plus)
+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)
13x=160 (divide by x)
x=12.30769 which can be rounded to x=12.31
Then we have to plug in x into the first equation:
3(12.31) + 4y = 80
36.93 + 4y = 80 (subtract 36.93 from 80)
4y = 43.07 (divide)
y=10.7675 or rounded to 10.77
so x=12.31 and y=10.77
Answer:
Please see attached
Step-by-step explanation: