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3 years ago

On a rectangle hyperbola, if one point is (2,3) and y varies inversely to x, find y when x is 6

1 answer:

4 0

<span>The graph of y against x in inverse proportion is a rectangular hyperbola but I don't see at all how this knowledge/observation is any help in solving the problem.

Inverse proportion means that as x doubles y will halve and the equation is xy = k where k is some number. A good example of inverse proportion is speed and time taken over some fixed distance. In this case x could represent the speed (mph) and y the time (h) and then k is the distance in miles.

Since we know y=3 when x=2 we have xy = 6. Now it's easy to see when x=6 y=1.</span>

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3 years ago

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area

velikii [3]

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ( $A$ ) is represented by the following formula:

$A = w\cdot l$

Where:

$w$ - Width.

$l$ - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ( $l = 2.2\cdot l_{o}$ , $w = 0.8\cdot w_{o}$ )

$A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})$

$A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}$

$A = 1.76\cdot A_{o}$

The area of the rectangle is increased in 76 percent.

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3 years ago

There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? P

Mademuasel [1]

Divide 11 by 24 and you get 0.44
So 44% of the holiday concert are boys.

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