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Paladinen [302]
2 years ago
10

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total

fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Mathematics
1 answer:
Grace [21]2 years ago
6 0

Answer:

25.66 miles

Step-by-step explanation:

fee of $2.90 plus --> $2.90 + _______ = ______

total fare was $44.90--> ______ +______ = $44.90

$1.75 per mile,per mile would be <u>x </u>since the number of miles are unknown

$1.75 per mile --> ______ + $1.75x = ______

<em>Put together:</em> $2.90 + $1.75x = $44.90

<u>Note:</u> It could be written as '$1.75x + $2.90 = $44.90', it really doesn't matter

1. Subtract $2.90 from both sides : <u>$1.75x + $2.90 - $2.90  = $44.90-$2.90 </u>resulting in <u>$1.75x = $44.90</u>

2. Divide $1.75x form both sides: <u>$1.75/$1.75x = $44.90/$1.75</u><u> </u>resulting in <u>x=25.66</u>*rounded from 25.6571428571

<em><u>x=25.66 miles</u></em>

Note: If you are subtracting,adding, or etc. on one side, you HAVE to do it on the other side too.

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This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

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Answer

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Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

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