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REY [17]
3 years ago
5

Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earings m to the number of hours h she tutors. Assuming

the situation is proportional, how much would Trina earn turtoring for 2 hours? 4.5 hours?

Mathematics
2 answers:
777dan777 [17]3 years ago
8 0
28.50÷3= 9.50/ hr


2 hours would be
2×9.50= $19


4.5 hours would be
4.5×9.5=42.75
atroni [7]3 years ago
6 0

Answer:

Equation forms : m=9.5h

Step-by-step explanation:

Trina earns $28.50 tutoring for 3 hours.

So, per hour earnings of Trina are = \frac{28.50}{3}= 9.5 dollars

Let her total earnings be m

Let the number of hours she tutors be h

To establish an equation multiply the hourly rate by h.

m=9.5h

And when h = 2 hours;

m=9.5(2)

m = $19.

When h = 4.5 hours;

m=9.5(4.5)

m = $42.75

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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>

7 0
3 years ago
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