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ANEK [815]
3 years ago
5

Write the following number as ratios of integers

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let x=7.\overline{6}. We want to cut the 0.\overline{6} bit off completely, so let's create the scalpel that'll let us do that. If x=7.\overline{6}, then we can also say that 10x=76.\overline{6}. Maybe I was lying a bit: the x is our real scalpel here, and 10x is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting x off of 10x) leaves us with:

10x-x=76.\overline{6}-7.\overline{6}\\9x=69

The operation was a success! We can now simply divide either side by 9 to find x = 69/9, which, when reduced by dividing the numerator and denominator by 3, gives us x=23/3

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The answer is C, but I don't understand why- can anyone tell me?
finlep [7]

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

7 0
1 year ago
Which of the following represents the graph of f(x) = 2(x + 3)?
Yuliya22 [10]
We have that

the correct expression is
y=2<span>^</span>(x+3)

using a graph tool
see the attached figure

the answer is the option C

3 0
3 years ago
PLEASE HELP (unknown answers will be deleted)
Shtirlitz [24]

Answer:

where's the assignment

8 0
3 years ago
Which sequence of transformations carries ABCD onto HGFE
trasher [3.6K]
If you look closely at the options, the first 3 options will not produce an image that will be in Quadrant II with the vertices coinciding HGFE.
But if you look at the 4th option, translating the points 8 units to the left will produce an image in Quadrant III. Reflecting the image across the x-axis will produce triangle HGFE.
7 0
3 years ago
Read 2 more answers
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