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2 years ago

15

If a box of cereal that is 12.5 ounces costs $2.78, what is the unit price? Round your answer to the nearest cent.

1 answer:

Reptile [31]2 years ago

5 0

Answer: A) $4.50 per ounce

Step-by-step explanation: All you do is divide 12.5 by 2.78. You should get 4.4964028777, which, when rounded up to the nearest cent, should equal $4.50

Hope you found this helpful!

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Answer:

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3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

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Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

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General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

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Convert the equation:

$y=\dfrac{2}{3}x+b$ |<em>subtract $y$ from both sides</em>

$\dfrac{2}{3}x-y+b=0$ |<em>multiply both sides by 3</em>

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

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$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |<em>multiply both sides by $\sqrt{13}$ </em>

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |<em>divide both sides by 3</em>

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Finally:

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