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blagie [28]
3 years ago
13

What is the difference? 5/3-1/2A. 4B. 7C. 7/6D. 7/0 = undefined

Mathematics
1 answer:
Fofino [41]3 years ago
5 0
The answer is:  [C]:  " ⁷/₆ " .
____________________________________
  Note:
____________________________________
   (5/3) - (1/2) = ? ;
____________________________________
The LCD (lowest common denominator) of "2 and 3" is "6" ;

So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
____________________________
 (5/3) = (?/6) ?  ;  (6÷3=2) ;  (5/3) = (5*2)/(3*2) = 10/6 ;
____________________________
(1/2) = (?/6) ? ; (6÷2=3) ;  (1/2) = (1*3)/(2*3) = 3/6 ;
____________________________
Rewrite the problem:   "    (5/3) - (1/2) " ;  as:
____________________________
   10/6 - 3/6  ;
____________________________________________
    10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
____________________________________________
The answer is:  " ⁷/₆ " ;  or, write as:   " 1 ⅙ " ; which corresponds to: 
______________________________________________________
Answer choice:  [C]:  " ⁷/₆ " .
____________________________________________
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3 years ago
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Marianna [84]

The Associative Property say that it doesn't matter how we group the numbers (i.e. which we calculate first) when we add

(a + b) + c = a + (b + c)

The Commutative Property say we can swap numbers over and still get the same answer when we add

a + b = b + a

The Distributive Property:

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8 0
3 years ago
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
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3 years ago
What does 2 plus 2 add up too?
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2+2 is 4. You learned this in 1st grade
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3 years ago
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