3 years ago

A taxi ride costs $32. Paulie gives the

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

$36.8

Step-by-step explanation:

to find the total amount, you must do 32 x 115% aka 1.15

32 x 1.15 = 36.8

Therefore $36.8 is the total amount Paulie needed to pay!

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What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?

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Answer:

$\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).$

$\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}$