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2 years ago

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When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations

can be used to find how many of each type of bill Devon received? A) f- t = 18; 50f + 20t =450 B) f + t = 18; 50f + 20t = 450 C) f + t = 450; 50f + 20t = 18 D) f + t = 18; 50f - 20t =4 50

1 answer:

Neporo4naja [7]2 years ago

7 0

B is the answer to the equation

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Stels [109]

Answer:

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$v= 250\ miles/h$

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Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

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$(2\ hours)(v + c) = 600$ miles

Where v is the speed of Hal and c is the wind speed.

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Now we solve the first equation for v

$(2)(v + c) = 600$

$2v + 2c = 600$

$2v= 600-2c$

$v= 300-c$

Now we substitute the value of v in the second equation and solve for c

$3((300-c)-c) = 600$

$3(300-2c) = 600$

$900-6c = 600$

$-6c = 600-900$

$-6c = -300$

$6c = 300$

$c = 50\ miles/h$

Then:

$v= 300-(50)$

$v= 250\ miles/h$

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

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