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sladkih [1.3K]
1 year ago
9

Write each decimal as a fraction in lowest terms 0.255

Mathematics
1 answer:
Vesnalui [34]1 year ago
6 0

Answer:

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200

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Name the addition property illustrated by each of the following examples:
polet [3.4K]

Answer:

1.associative property of addition

2.commutative property of addition

3.additive inverse

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Step-by-step explanation:

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3 years ago
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What is the area of this figure?
insens350 [35]

Answer:

54 units squared

Step-by-step explanation:

You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.

Rectangle 1: length=7 width=6          6(7)=42

Triangle 1: base=6 height=2          1/2(6)2=6

Triangle 2: base=3 height=2          1/2(3)2=3

Triangle 3: base=6 height=1          1/2(6)1=3

Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared

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Which expression is equivalent to 8x - 12y +32
prisoha [69]

The answer is shown above

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3 years ago
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Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded
Anna11 [10]
Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x=[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x

so f(x)=4 x^{3}-260x^{2}+4000x

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

f'(x)=12x^{2}-520 x +4000=0

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

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plug in f(x) these values to see which greater:

f(10)=(80-20)(50-20)10=60*30*10=18000 cm cubed

f(33.333)=(80-66.666)(50-66.666)33.333= which is negative because (50-66.666)<0



Answer: 18000 cm cubed

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3 years ago
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Answer:

x = { - 1, 0,1 ,2  ...}

Step-by-step explanation:

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Hope this helps ;) ❤❤❤

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3 years ago
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