Celeste and dora both offer guitar lessons. celeste charges an initial fee of $5.00, and an hourly rate of $7.25. dora has an initial fee of $10.25, and an hourly rate of $6.50. at how many hours of instruction will the cost for each instructor be the same? which equation represents the scenario?

let number of hours be x

Celeste charges an initial fee of $5.00, and an hourly rate of $7.25.

C =5+7.25x(1)

Dora has an initial fee of $10.25, and an hourly rate of $6.50.

D=10.25+6.50x(2)

if the cost is same, equating equations (1) and (2)

5+7.25x=10.25+6.50x

7.25x-6.50x=10.25-5

0.75x = 5.25

x=7

so 7 hours is the answer

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation: