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Dahasolnce [82]
3 years ago
11

Write 0.895 with 95 repeating on and on as a simplified fractionPLZ HELP WILL GIVE BRANLIEST

Mathematics
2 answers:
Alchen [17]3 years ago
8 0

Answer:

\huge\boxed{x = \frac{887}{990}}

Step-by-step explanation:

The number given is 0.895..........

Let x = 0.895........

Then

10x = 8.95.......   --------(1)

1000x = 985.95........   --------(2)

Subtracting (1) from (2)

1000x - 10x = 985.95..... - 8.95......

990 x = 887

Dividing both sides by 990

x = \frac{887}{990}   (In simplest form)

SashulF [63]3 years ago
5 0

Answer:

887/990

Step-by-step explanation:

0.8959595....

895.95 - 8.95 = 887

1000 - 10 = 990

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Find the equation of the line in gradient form that passes through the points (3,0) and (-2,4)
Aleksandr-060686 [28]

Answer:

y = (-4/5)x + 12/5

Step-by-step explanation:

Slope = (4-0)/(-2-3) = 4/-5 = -4/5

y = (-4/5)x + c

When x = 3, y = 0

0 = (-4/5)(3) + c

c = 12/5

y = (-4/5)x + 12/5

5y = -x + 12

5y + x = 12

4 0
3 years ago
a collector found a bone near former mayan territory. after careful research it has been determined that the bone lost about 15%
Olin [163]

Answer:

পার্সেন্টস সহ এই সূত্রটি মিশ্রিত হয় ...

4 0
2 years ago
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
What number can be add to <br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%2024x" id="TexFormula1" title=" {
4vir4ik [10]

The required number will be 16

the expression will be like :

  • 9 {x}^{2}  + 24x + 16

  • (3x) {}^{2}  + (2 \times 3x \times 4) + (4) {}^{2}

  • (3x + 4) {}^{2}

hope it helps you cap !!

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5 0
3 years ago
What is the volume of a hemisphere with a radius of 3 cm, rounded to the nearest tenth of a cubic centimeter?
Kaylis [27]

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

8 0
2 years ago
Read 2 more answers
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