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Alexxx [7]
3 years ago
11

A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.

How many trucks and sedans passed through the toll booth during that​ period? List all possible solutions.
Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

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gulaghasi [49]
<< Add .\frac{-4}{5} to the left and right of the equation, multiple and make ''opposite multiplation'' to find x.

A) \frac{4}{5x}. \frac{-4}{5} = 8.  \frac{-4}{5} &#10;
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25x.(-32)= (-16).5
-800x= -80

**to leave x alone and positive, you must divide to -800.
x=  \frac{-80}{-800}
x=  \frac{1}{10}
= INCORRECT

B) \frac{4}{5x} . \frac{1}{5} = 8. \frac{1}{5} &#10;
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200x=20&#10;
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C)\frac{4}{5x} . \frac{5}{4}=  \frac{8.5}{4}
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D) \frac{4.5}{5x}  = 8.5
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I think there is a problem with the options :D







5 0
4 years ago
(Will give Brainliest)
Dvinal [7]

Answer:

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Step-by-step explanation:

b-4.2<-7.5

this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.

8 0
3 years ago
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Answer:

x is equal to 6

Step-by-step explanation:

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Can someone please answer this for me.
Vlada [557]
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For a dashed line: the inequality should just be greater then or less than.

Hope this helps for your inequality equations :)
4 0
3 years ago
Evaluate 5j +12 foreach listed<br> value ofn.<br> j= 4<br> j = 6
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Step-by-step explanation:

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