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Vedmedyk [2.9K]
3 years ago
5

1. An airline knows that only about 75% of those who make a reservation actually buy a ticket. At this rate, how many reservatio

ns should the airline accept to fill a plane with 180 seats?
2. Safe Side Banks pays an interest rate of 8% per year on certificate accounts. How much money must be put into an account to earn $60 in one year?
Mathematics
1 answer:
madam [21]3 years ago
3 0
We have to use proportion to solve this problem.
75% -------------------180
100% ---------------------x
crossmultiply
75*x=100*180
75x=18000           /:75
x=240 - its the answer

We have similar problem here
8%---------------------60$
100% ------------------x
crossmultiply now
8*x=60*100
8x=600        /:8
x=75 - its the answer

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option a

Step-by-step explanation:

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What’s the answer to the word problem the difference of three times a number and 1
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Step-by-step explanation:

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It will look like:

3n - 1.

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Solve the following system of equations for all three variables.
nignag [31]
  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x -  2y -  5z = 4             -4x + 3z = 13

 5x -  2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z -  2y -  5z = 4 ⇒ -9x -  2y -  5z = 4
                                        -18x - 3z = 9

     -4x + 3z = 13
    -18x - 3z =   9
           -22x = 22
            -22    -22
                x = -1
    -18x - 3z = 9
-18(-1) - 3z = 9
       18 - 3z = 9
     - 18       - 18
             -3z = -9
              -3     -3
                z = 3

    5x - 2y + z = 8
5(-1) - 2y + 3 = 8
     -5 - 2y + 3 = 8
     -2y - 5 + 3 = 8
           -2y - 2 = 8
                + 2 + 2
                -2y = 10
                 -2     -2
                   y = -5
          (x, y, z) = (-1, -5, 3)
6 0
3 years ago
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