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gayaneshka [121]
4 years ago
5

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number

Mathematics
1 answer:
Whitepunk [10]4 years ago
3 0

Answer:

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?

the number is 2.409

Step-by-step explanation:

based on the question;

let the  number  N

1/6 of N = (1/6)N

21/2  of N = ( 5/2)N

now, the sum of  a number (N)  1/6 of that number(1/6)N , (5/2)N and 7  will be expressed as

N + ( 1/6)N + (5/2)N + 7 = 12 1/2

N + N/6 + 5N/2 + 7 = 25/2

find the lcm of the equation

we have;

(6N + N +15N + 42)/6= 25/2

(22N + 42)/6 = 25/2

Using cross multiplication we have

44N + 84 =  150

Collecting the like terms

44N = 150- 84

44N = 106

Divide both sides by 44

44N/44= 106/44

N = 2.409

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1/3y+1/4=5/12 i need 20 character
lys-0071 [83]
Y/3 + 1/4 = 5/12
4y/12 + 3/12 = 5/12
           4y/12 = 2/12
                4y = 2
                /4     /4
                  y = 1/2

Therefore y = 1/2

3 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
Blababa [14]

Answer:

7/20:1/4:2/5

Step-by-step explanation:

3 0
3 years ago
The winning car in a race beat the second car by 19/100 of a second. The third car was 4/10 of a second behind the second car. B
Neko [114]
20/5 should be correct
8 0
3 years ago
Another name for the natural number is
Sonbull [250]
Literally just learned this in algebra are you a freshman too ????? lol


A natural number is a positive or nonnegative integer. All the counting numbers, (1, 2, 3, etc.) are natural numbers. Other names for the same type of object include whole number and counting counting.
3 0
3 years ago
-1.398 = 2.2 + n/-5.53<br> Does this look good so far? <br> -1398 = 2200 + n/5530 - 2200
insens350 [35]

Answer:

  n = 19.89694

Step-by-step explanation:

You can work the problem using decimal numbers. There is no need to convert everything to integers. Trying to do so just gets you in trouble.

Subtract 2.2 from both sides:

  -1.398 -2.200 = n/-5.53

  -3.598 = n/-5.53

Now, multiply both sides by -5.53:

  (-5.53)(-3.598) = n = 19.89694

_____

The one rule that cannot be violated in algebra is that <em>you must do the same thing to both sides of the equation</em>.

_____

Your "solution" so far has a couple of errors. The first is that you have apparently multiplied all of the numbers by 1000. Unfortunately, when you multiply a denominator by 1000, it is the same as dividing by 1000. So, you have multiplied the left side by 1000, multiplied one term on the right by 1000 and divided another term on the right by 1000. This turns the equation into something different than what you started with, and will give a wrong answer.

The second error is that you have subtracted 2200 only from the right side. This, too, will turn the equation into something different than what you started with, and will give a wrong answer.

7 0
4 years ago
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