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viktelen [127]
3 years ago
11

Write the following number as ratios of integers

Mathematics
1 answer:
Grace [21]3 years ago
5 0

We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

x=-2.0\overline{42}

Next, to get rid of the negative, we can multiply either side by -1 to get

-x=2.0\overline{42}

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

-10x=20.\overline{42}

and the other by multiplying either side by 1000:

-1000x=2042.\overline{42}

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

-1000x-(-10x)=2042.\overline{42}-20.\overline{42}\\ -1000x+10x=2022\\ -990x=2022

And finally, we can divide either side of the equation by -990 to find that

x= \frac{2022}{-990}=-\frac{2022}{990}\div \frac{6}{6}=-\frac{337}{165}

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ANSWER BOTH QUESTIONS FOR BRAINLIEST TY :)
Alchen [17]

Answer:

<h2>Angle X; 39</h2><h2>Angle Y; 129</h2>

Step-by-step explanation:

180-90

90

This gives us the measurement of 51+x.

90-51

39

This is x as well as the angle that is across from it.

x+90=y

39+90=129

y=129.

to find the last angle, we add 90 to 51. This gives us 141.

So, now we add up all of the angles to double check everything. If they all add up to 360 then we are correct.

39+39+51+90+141=

360.

This means that we have solved everything correctly and that these are the correct answers.

I know that this is really confusing but the answers that you need are at the top so hopefully this helped!

4 0
3 years ago
Read 2 more answers
Can someone please explain to me how to find the value of m? thanks<br>-10 = -10 + 7m
GarryVolchara [31]
                                        -10  =  -10  +  7m

Add  10  to each side:      0  =          7m

Divide each side by  7 :    0  =          m


Please take a second and just LOOK at the equation you started with.
It says: 

--  You have this number '-10' . 

--  Your number  -10  is going to be exactly the same size
     after you add 7 of something to it.

The ONLY way that could happen is if the 'something' is 'nothing' .

       ' m '  must be nothing.
8 0
3 years ago
Read 2 more answers
The table shows a proportional relationship between x and y.
Free_Kalibri [48]

Answer:

D

Step-by-step explanation:

if y is 4 then x is -12 Because 4 times -3 is -12

8 0
3 years ago
True or False? The absolute value of any number the same as absolute value of its additive inverse
Lilit [14]

Answer:

true

Step-by-step explanation:

that is true i need twenty charcters

4 0
3 years ago
The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?
Ray Of Light [21]
By the pythagorean theorem the diagonal length will be:

d^2=x^2+y^2  and since this is a square x=y so

d^2=2x^2 and since d=15

225=2x^2

x^2=112.5

x=√112.5 yds

x≈10.6 yds  (to nearest tenth of a yard)
8 0
3 years ago
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