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tigry1 [53]
3 years ago
8

10 2/3 x 6 1/4 simplify or reduce

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

66 2/3

Step-by-step explanation:

10 2/3=32/3 as a improper fraction(multiply 10 by denominator and add to numerator to get numerator of improper fraction)

6 1/4=25/4 as a improper fraction)

32/3*25/4=32*25/3*4=800/12=66 2/3

Marta_Voda [28]3 years ago
7 0

Step-by-step explanation:

10 \frac{2}{3}  \times 6 \frac{1}{4}  \\  \\  =  \frac{10 \times 3 + 2}{3}  \times  \frac{6 \times 4 + 1}{4} \\  \\  =  \frac{30+ 2}{3}   \times  \frac{24 + 1}{4}  \\  \\  =  \frac{32}{3}  \times  \frac{25}{4}  \\  \\  =  \frac{8}{3}  \times  \frac{25}{1}  \\  \\  =  \frac{200}{3}  \\   \\  = 66 \frac{2}{3}

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How much must be subtracted from the first term of the sequence 12, 16, 64 so that the sequence becomes geometric?
insens350 [35]

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Step-by-step explanation:


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3 years ago
What is the slope of the line defined by the parametric equations x=-2+4t and y=1+4t ?
LekaFEV [45]

Answer:

The value of slope m = -1

Step-by-step explanation:

x = -2 + 4t

and y = 1 + 4t

Solving the both equations

x +2 = 4t

=> t = (x+2)/4     eq(1)

y-1 = 4t

=> t = (y-1)/4      eq(2)

Putting eq(1) = eq(2) as left hand side of both equations are same

(x+2)/4 = (y-1)/4

Cross multiplying

4(x+2) = 4(y-1)

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4x +4y = -4 -8

4x + 4y = -12

4(x+y) = -12

x+y = -12/4

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The slope intercept form of line is:

y = mx + b

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8 0
3 years ago
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

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18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

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The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm.
kupik [55]

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3 years ago
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Answer:

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3 years ago
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