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amid [387]
3 years ago
14

3 less than the quotient of a number y and 4

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

3 less than the quotient of a number y and 4

3       <        y / 4

3    <     y/4

x 4          x 4

12 < y

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Find the rational number whose decimal expansion is 0.3344444
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Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
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And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
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Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
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6 0
3 years ago
7-5p+3q when p=1 and q=7
Mnenie [13.5K]

Answer:

23

Step-by-step explanation:

7 - 5p + 3q

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Substitute in the values of "p" and "q", and solve;

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

5 0
3 years ago
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