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Lina20 [59]
3 years ago
9

How many numbers can you make between 0-99 using exactly four 4s and the operations $$ +,−,×,÷?

Mathematics
1 answer:
zlopas [31]3 years ago
6 0

Answer:

  37

Step-by-step explanation:

I find 37 numbers in that range:

  {0, 1/16, 1/8, 1/5, 1/3, 1/2, 3/4, 4/5, 1, 5/4, 4/3, 2, 3, 7/2, 15/4, 4, 17/4, 9/2, 5, 6, 7, 8, 9, 12, 15, 16, 17, 20, 24, 28, 32, 36, 48, 60, 64, 68, 80}

For these numbers we have used only the indicated operations. No minus signs were used.

_____

<em>Additional comment</em>

Of the 320 ways the numbers can be combined, 15 result in division by zero. Many other results are outside the 0-99 range of interest. In total, there are 56 unique rational results.

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(17 PTS)<br> GEOMETRY QUESTIONS, PLEASE HELP!
nekit [7.7K]
14. 
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
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18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
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19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
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C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
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Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
<em>m = 2</em>
G = (1, -3) - H = (3, 0) 
m = 0 - (-3) / 3 - 1
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Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
<em>m = -5/2</em>
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
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22.
M = (-2, 2) - N = (2, 2)
Horizontal line
<em>m = 0</em>
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Horizontal line
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<em>
</em>23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
7 0
3 years ago
Read 2 more answers
Jake sold 36 tickets to the school fair, and Jeanne sold 15 tickets. what is the ratio, in simpliest form, to the number of tick
anzhelika [568]

Answer:

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Step-by-step explanation

Jake                 Jeanne

36                          15

<em>12</em>                            <em>5</em>


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3 years ago
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adelina 88 [10]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Artemon [7]

Answer:

I think its B.

Step-by-step explanation:

6 0
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