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OleMash [197]
3 years ago
9

What is 33.5 % as a Decimal and a fraction?

Mathematics
2 answers:
Pie3 years ago
7 0

Answer:

Decimal: 0.035

Fraction: 67/200

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over  

100

. Percentage means 'out of  

100

'.

33.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is  

1

number to the right of the decimal point, move the decimal point  

1

place to the right.

335

1000

Reduce the expression by cancelling the common factors.

Tap for more steps...

67

200

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.335

Stolb23 [73]3 years ago
5 0

p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}

Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}

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Step-by-step explanation:

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Write a formula for the maximum number of segments determined by n points
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3 years ago
Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
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Divide both sides of the first equation (8x = 2ax) by x:
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Replace a in the second equation (a² - b = 13):
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4 0
3 years ago
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Step-by-step explanation: Please refer to the picture attached for further details.

The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.

A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."

Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.

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