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3 years ago

Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

$\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}$

Multiplying everything by 10x

$10 + 2 = x$

$x = 12$

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.

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2 years ago

(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla

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Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

$\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}$

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In point b:

Calculating the directional derivative of $f (x, y) = \sqrt{x+3y}$ at P in the direction of $\vec{v}$

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