4 years ago

Explain a different method you could use to solve problem 11.

Mathematics

1 answer:

Katen [24]4 years ago

3 0

Answer:

Where is problem 11. Next time add a picture so a person will be able to solve it.

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It takes Engineer Kweku three hours to drive to his brother’s house at an average speed of 50 miles per hour. If He takes the sa

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Answer:

2.5 hours

Step-by-step explanation:

The product of speed and time is distance. If the distance is the same, then time is inversely proportional to speed. At 60/50 = 6/5 times the speed, the return trip will take 5/6 times the time:

(5/6)(3 hours) = 2.5 hours . . . time for return trip

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Step-by-step explanation:

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3 years ago

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3 years ago

Solve the equation, if possible. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)

Masteriza [31]

Answer:

The equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

Step-by-step explanation:

Given the equation

$x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$

$\mathrm{Expand\:}x\left(x+6\right):\quad x^2+6x$

$\mathrm{Expand\:}\left(x+3\right)^2:\quad x^2+6x+9$

$x^2+6x=x^2+6x+9$

$\mathrm{Subtract\:}x^2+6x\mathrm{\:from\:both\:sides}$

$x^2+6x-\left(x^2+6x\right)=x^2+6x+9-\left(x^2+6x\right)$

$\mathrm{Simplify}$

$0=9$

$\mathrm{The\:sides\:are\:not\:equal}$

Thus, there is NO SOLUTION.

We know that an equation that has no solution, such as $x = x + 2$ , is called a contradiction.

Therefore, the equation $x\left(x\:+\:6\right)\:=\:\left(x\:+\:3\right)^2$ has NO SOLUTION, and is called contradiction.

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3 years ago

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