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elixir [45]
3 years ago
14

What is the solution to the following equation? 5(2x − 14) + 23 = 7x − 14

Mathematics
2 answers:
g100num [7]3 years ago
7 0
X=11

 Hope this helps your welcome
nexus9112 [7]3 years ago
3 0
5(2x - 14) + 23 = 7x - 14
10x - 70 + 23 = 7x - 14
Combine like terms
10x - 47 = 7x - 14
subtract 7x from both sides
3x - 47 = -14
add 47 to both sides
3x = 33
divide both sides by 3
x = 11

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A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

  B.  6 Large taxis =  $498 + 9 Small taxis = $450     498+450= $948

   

    C.  5 Large taxis and 10 Small taxis

Step-by-step explanation:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra

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    C.  5 Large taxis and 10 Small taxis

While the more small taxis there are, the more cheaper it is for Max but the less seats there would be for 75 people, So I did 1 more small taxi and 1 less large taxi.

The total number of seats now is 75 seats which is perfect amount for 75 people

So the total cheaper cost would $915 while still maintaining a fair amount of seats which is 75

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