Emilio attends school 180/365 days of the year, which, when simplified to the simplest form is 36/73.
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Use cross multiplication:
160 248
—— = ——-
5 x
160x= 248(5)
160x= 1240
x = 7.75
It will take 7 h and 45 minutes to travel 248 miles!
Answer:
The answer is that adult tickets cost $44.50 and child tickets cost $19.
Step-by-step explanation:
Let c = the cost of child tickets and a = the cost of adult tickets.
The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:
2a + 4c = 165
4a + 3c = 235
Solve the top equation for a:
2a + 4c = 165
2a = 165 - 4c
a = 165/2 - 4c/2
a = 82.5 - 2c
Substitute into the second equation:
4a + 3c = 235
4(82.5 - 2c) + 3c = 235
330 - 8c + 3c = 235
-5c = -95
c = -95 / -5 = 19, so child ticket cost $19.
Solve for a:
a = 82.50 - 2c
a = 82.50 - 2(19)
a = 82.50 - 38
a = $44.50, so adult tickets cost $44.50.
Proof using the first equation for the Johnson family:
2a + 4c = 165
2(44.50) + 4(19) = 165
89 + 76 = 165
165 = 165
Proof using the second equation for the Robison family:
4a + 3c = 235
4(44.50) + 3(19) = 235
178 + 57 = 235
235 = 235
There are 30, 2 seconds in an hour. So you multiply the feet by 30 to get 90 feet.
( x + 1) / [ x( x + 1 )] + (2x) / [ x( x + 1 )] = ( 3x + 1 ) / [ x( x + 1 )] ;