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oee [108]
3 years ago
7

An airplane travels 4374 kilometers against the wind in 6 hours and 5514 kilometers with the wind in the same amount of time. Wh

at is the rate of the plane in
still air and what is the rate of the wind?

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

air = 95 mph

plane = 824 MPH

Step-by-step explanation:

6(x-y) = 4374

6(x+y)= 5514

6x - 6y = 4375

6x + 6y = 5514

12x = 9889

x = 824 mph

y = 95 mph

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A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Pl
LuckyWell [14K]
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2 years ago
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Solve the system y= 4x + 1 and 3x+2y =13
Irina18 [472]

Given :

{\qquad \sf \dashrightarrow  y= 4x + 1 \: –––– \sf \:  (i)}

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{\qquad \sf \dashrightarrow   \: 3x + 2y = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 2(4x + 1) = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 8x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x  = 13 - 2   }

{\qquad \sf \dashrightarrow   \: 11x  = 11   }

{\qquad \sf \dashrightarrow   \: x  =  \dfrac{11}{11}    }

{\qquad \sf \dashrightarrow   \bf \: x  = 1   }

Now, substituting the value of x in equation (i) :

{\qquad \sf \dashrightarrow  y= 4x + 1}

{\qquad \sf \dashrightarrow  y= 4(1) + 1}

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2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

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