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3 years ago

7

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter: 9 meters. The actual width of the soc

cer field is 54 meters. How wide is the field in the drawing?

1 answer:

kupik [55]3 years ago

7 0

Answer:

6 cm

Step-by-step explanation:

1 cm : 9 meters --> 1cm/9m

? cm : 54 meters --> ?cm/54m

$\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?$

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8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

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2 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

Write the word sentence as an inequality. Then solve the inequality.

shusha [124]

Answer:

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Step-by-step explanation:

There's not really much work that goes into this problem.

<em>First, you have to get the variable by itself. To do that you do the opposite of multiplication which is division. 6 divided by 6 = 0. Since you did that to one side you have to do it to the other. -24 divide by 6 = -4. So, x = -4.</em>

<em />

I hope this helped!

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2 years ago

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b

Step-by-step explanation:

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