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uranmaximum [27]
3 years ago
6

Evaluate 0.212121... + 0.021021021... − 0.145714571457...

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Finding the exact value of each number goes like this:

<em>x</em> = 0.212121...

100<em>x</em> = 21.212121...

==>  100<em>x</em> - <em>x</em> = 21.212121... - 0.212121...

==>  99<em>x</em> = 21

==>  <em>x</em> = 21/99 = 7/33

Similarly:

<em>y</em> = 0.021021021...

1000<em>y</em> = 21.021021021...

==>  999<em>y</em> = 21

==>  <em>y</em> = 21/999 = 7/333

and

<em>z</em> = 0.145714571457...

10000<em>z</em> = 1457.145714571457...

==>  9999<em>z</em> = 1457

==>  <em>z</em> = 1457/9999

Then we end up with

<em>x</em> + <em>y</em> - <em>z</em> = 32345/369963

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What is an equivalent expression for 24+49
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Answer:

20 + 4 + 40 + 9

Step-by-step explanation:

20 + 4 is 24 and 40 + 9 is 49, so it's pretty much the same thing.

5 0
2 years ago
A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What
Alinara [238K]

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

__

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

8 0
2 years ago
If the two lines y1 = -1/2x +5 and y2 = 2x + 5 were to be graphed, what would their intersection point represent?
grigory [225]

Answer:

D. Their intersection point is the only point where the same input into both functions yields the same output.​

Step-by-step explanation:

The intersection point of 2 graphed lines represents the solution.

At this point, for both lines, there is the same x value (input) and the same y value (output) because both of the lines have that point in common.

So, if those 2 lines were to be graphed, the intersection point would represent the only point with the same input and output for both functions.

D is the correct answer.

7 0
2 years ago
Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​
Degger [83]

Answer:

Union = 15

Step-by-step explanation:

Given

n(A) = 5; n(B) = 10; n(C) = 15

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

Union = 15

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

Intersection = 5

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3 years ago
84102 - 1052=?<br><br><br>pasagot po pls with solution ​
lisov135 [29]

Answer:

83050

Step-by-step explanation:

that's the answer to the question

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