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Amanda [17]
3 years ago
13

Nick is a great baby sitter.He makes $9 an hour.Julia is an even better babysitter She makes $12 an hour.Julia works 6 hours eac

h week.How many hour does Nick need to work in order to earn as much money as Julia earns in a week
Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

Nick has to work 8 hours

Step-by-step explanation:

Nick makes 9   works x

Julia makes 12  works 6

first find out how much Julia makes you can do that by multiplying 12 by 6 witch = 72

and we know we are trying to find how many hours Nick needs to work to equal Julia so we knew they are equal

so we have 9X=72

we just have to solve...

divide 72 by 9

leaving use with X=8

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−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

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