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Verdich [7]
3 years ago
10

A store has 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.00

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

40 % off means we pay 60 %  (must total 100%)

original price * 60 % = 36.00

change percent to decimal

original price * .6 = 36

divide each side by .6

orginal price = 60


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Anna35 [415]

Answer:

x = -1  and  x = -9

Step-by-step explanation:

Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.

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False.

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14 the multiplied by -4 does not equal -16

False.

C. x = -1 and x = -9

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3 years ago
A car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how lo
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Step-by-step explanation:

it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?

and do we need the time for the whole round trip, or only for the return trip ?

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speed = distance/time

therefore, to get time, we need to divide distance by speed :

distance / distance/time = time×distance/distance = time

so, let's calculate all these different scenarios :

1. 500 miles is only one direction, and we measure only the time going back with 60 mph :

500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.

as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.

2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :

500 / 50 = 10 hours

500 / 60 = 8 hours 20 minutes

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3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :

250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.

as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.

4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :

250 / 50 = 5 hours

250 / 60 = 4 hours 10 minutes

the whole round trip takes 9 hours 10 minutes.

did you notice ?

when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.

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