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NISA [10]
2 years ago
10

Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

Mathematics
1 answer:
musickatia [10]2 years ago
5 0

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: brainly.com/question/14583740

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hammer [34]

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

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The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

8 0
3 years ago
If x = -3 and y = -5, what does 3x - 2y equal???
IRINA_888 [86]

Step-by-step explanation:

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1

5 0
1 year ago
Read 2 more answers
Amy can run the 150 meter dash in 50 seconds. john can run 1200 meters in 400 seconds. who runs faster per second?
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Step-by-step explanation:

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rather than john completed a shorter distance in a longer time

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3 years ago
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