Big time movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. on holidays, they charge 2.5 times the regular amount. if they made $188.75 on a job on new year’s day, how many hours did they work? this equation represents the data: 2.5(12.75x + 24.50) = 188.75 big time movers worked hours on new year’s day.

The number of hours did they work is 4 hours.

Given that,

Based on the above information, the calculation is as follows:

2.5(12.75x + 24.50) = 188.75

31.875x + 61.25 = 188.75

31.875x = 188.75 - 61.25

31.875x = 127.50

x = 4 hours

Therefore we can conclude that the number of hours did they work is 4 hours.

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.