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avanturin [10]
3 years ago
9

The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack t

hat weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?
Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

6\ lb = 2.724\ kg

11\ kg = 24.2\ lb

Step-by-step explanation:

Given

1\ kg = 2.2\ lb

1\ lb = 0.454\ kg

Required

- Convert 6 lb to kg

- Convert 11kg to lb

To solve for (a), we make use of the second conversion unit:

1\ lb = 0.454\ kg

Multiply both sides by 6

6 * 1\ lb = 0.454\ kg * 6

6\ lb = 2.724\ kg

<em>Hence, a 6lb backpack weighs 2.724kg</em>

Solving (b): 11 kg to lb

Here, we make use of the first conversion unit

1\ kg = 2.2\ lb

Multiply both sides by 11

11 * 1\ kg = 2.2\ lb * 11

11\ kg = 24.2\ lb

<em>Hence, the cat weighs 24.2lb</em>

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Step-by-step explanation:

 

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17cm per minute = meters per hour
Arlecino [84]
Answer:  10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
___________________________________________
Explanation:
_____________________________________
Note: "h" = time in "hour(s)" ; 
         "cm" = length in "centimeter(s)" ;
         "min" = time in "minute(s)";
            "m" = length in "meter(s)"
_____________________________________
Note these EXACT conversions:
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100 cm = 1 m ; 
   60 min = 1 h ;
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To solve: 

Given: 17 cm / min ; convert to:  ________ m / h 
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(17 cm / min)* (1 m /100cm) * (60 min / 1 h)  = _______ m / h
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The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
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We are left with (17 *1 m * 60) / (100 * 1 h) =  [(17 * 60) m] / [100 h] 
                                                                 =  [(17 *60) / 100 ] meters per hour.
________________________________________________________
To simply: (17 * 60) / 100 ;
_________________________
Method 1):  To simplify: (17 * 60) / 100 ;

→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;  
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→ (17*60) / 100 = (17*3)/5 = 51/5 
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Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
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→ (17 * 60) / 100 = 1,020 /100 
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Method 3) To simplify: (17 * 60) / 100 ;
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→ (17 * 60) / 100 = ? ;  

→ Divide BOTH the "100" AND the "60" by "10";

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→ (17*60)/100 = (17*6)/10 = 102/10

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Which of the following expressions are equivalent to 6 + (-4) - 5
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Answer:

B and C

Step-by-step explanation:

All you need to do is find the answer for all of them and see which ones match

Original:

6 + (-4) - 5

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<u><em>-3</em></u>

This is the answer for the original expression, now we need to see which one is the correct match....

A. -(-6 + 4 ) - 5

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PEMDAS so do the parenthesis first

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Have a supercalifragilisticexpialidocious day!

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Answer:Question? :c

Step-by-step explanation:

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