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WITCHER [35]
3 years ago
12

Pls solve showing steps, thanks! 7^4n+19/7^3n-1•7^n+20

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

This expression can be simplified to 1

Step-by-step explanation:

\frac{7^{4n + 19}}{7^{3n - 1}\times{7^{n + 20}}}\\\\= \frac{7^{4n + 19}}{7^{3n - 1 + n + 20}}\\\\= \frac{7^{4n + 19}}{7^{(3n + n) + (20 - 1)}}\\\\= \frac{7^{4n + 19}}{7^{4n + 19}}\\\\= 1

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Answer:

Step-by-step explanation:

Find the rate that was charged for Lara's time

       rate = dollars / hour

The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same.  Solve for hours.....

      rate for Lara = dollars / hour        =  $150 / 3 hour   =     $50 / hour

     rate for Roy = dollars / hour         Solve for hours

                                                            multiply both sides by hours

     (rate for Roy) (hour) = (dollars / hour) (hour)

     (rate for Roy) (hour) = (hour) (dollars / hour)       right side hours cancel

     (rate for Roy) (hour) = (dollars)     divide both sides by (rate for Roy)

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

                       now the rate for Roy on the leftside cancel

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

     (hour) = (dollars) / (rate for Roy)           Plug in $225 charged to Roy

                                                                     and the $50 / hour rate

   

       hour = $225 / ($50/hour)             ( 1 over 1 / hour )  = hour  

                = $(225/50) hour            think about  1 / (1/2)  = 2  the same with units

      hour =  4.5 hours

     

4 0
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Answer:

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