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ExtremeBDS [4]
3 years ago
9

What is the rational number equivalent to 1.28? The 1.28 has a line above the 28

Mathematics
1 answer:
Svetach [21]3 years ago
8 0
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
 let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats) 100x = 128.28...
next: 100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
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For integers a, b and k, we know that a &gt;12, b &gt; 20 and a &lt; b. If b=7k, what is the value of k ?
Doss [256]

This question is incomplete, the complete question is;

For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?

Answer: the value of k = 2

Step-by-step explanation:

Given that;

a > 12

b < 20

a < b

If b = 7k

Now if k = 1      {b = 7k = 7}

b would be equal to 7 but b has to be greater than 20

IT CANT BE

if k = 2        { b = 7k = 14}

b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,

a has to be less than than b ( 12 < 14 )

IT IS

if k = 3      {b = 7k = 21}  

b would be equal to 21, so b is greater than 20 and a is less than 21

IT CANT BE

Therefore the value of k = 2

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3 years ago
The quotient of -24 and the sum of p and q
boyakko [2]

Answer:

the sum of p and q is pXq =pq

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2 years ago
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How do you solve the system of the linear equation by substitution?<br> y=x-4<br> 4x-y=3
Bingel [31]

Answer:

x=-1/3, y=-13/3. (-1/3, -13/3).

Step-by-step explanation:

y=x-4

4x-y=3

------------

4x-(x-4)=3

4x-x+4=3

3x+4=3

3x=3-4

3x=-1

x=-1/3

y=-1/3-4

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3 0
2 years ago
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the relationship between the relative size of an earthquake, S, and the measure of the earthquake on the Richter scale, R, is gi
omeli [17]

Answer:

Relative Size, S, is 1584.89


Step-by-step explanation:

The equation is R=log_{10}(S)

Where,

  • R is the measurement in Richter Scale
  • S is the relative size of the earthquare

<u>It is given that in Richter Scale, an earthquake measured 3.2, so R=3.2.</u>

<em>They want to know relative size, S, so we put given information in equation and solve for S:</em>

R=log_{10}(S)\\3.2=log_{10}(S)

<em>Converting to exponential form, we have:</em>

3.2=log_{10}(S)\\S=10^{3.2}\\S=1584.8932

<em>Rounding to nearest hundredth, we have:</em>

S=1584.89

8 0
3 years ago
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