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Vadim26 [7]
3 years ago
10

If a number is doubled and then increasa30 the result is five less then three times number find the number

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

  8

Step-by-step explanation:

Let n represent the number.

  2n+3 . . . . "doubled, then increased by 30"

  3n -5 . . . . "five less than three times the number"

These two results are equal, so we have ...

  2n +3 = 3n -5

  8 = n . . . . . . . . . . add 5-2n

The number is 8.

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Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only
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The distance from his home to his work place is 118.125 miles

<h3>How to find the distance from his home to his work place?</h3>

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

learn more on distance here: brainly.com/question/21329221

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2 years ago
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Step-by-step explanation:

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3 years ago
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