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svp [43]
3 years ago
13

Help me do the rest somebody pleaseeeeee

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

so it's like the push factors are the ones that makes you want to leave that place cuz of negative life style are pull factors are like the positive things about that place that it makes you want to stay there.. I have posted the answers in the other one check it

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When you reverse the digits in a certain two-digit number you decrease its value by 18. what is the number if the sum of its dig
Maksim231197 [3]
Answer: The number is 75

Lets start by defining the 2-digit number.

--------------------------------------------------------------
Define the number
--------------------------------------------------------------
Let x be the digit in the tens place and y be the digit in the ones place.
The number is 10x + y
The reverse of the number is 10y + x 

Now we will construct the equations needed

--------------------------------------------------------------
Construct equations
--------------------------------------------------------------
When the digits are reversed, the value decreases by 18:
(10x + y) - (10y + x) = 18 .    ← Apply distributive property
10x + y - 10y - x = 18            ←Combine like terms
9x - 9y = 18                           ←Divide by 9 through
x - y = 2

The sum of the digits is 12:
x + y = 12

Now that we have the two equations, we can solve for x and y.

--------------------------------------------------------------
Solve for x and y
--------------------------------------------------------------
x - y  = 2          ---------------------- (equation 1)
x + y = 12        ---------------------- (equation 2)

--------------------------------------------------------------
Make x the subject in equation 1
--------------------------------------------------------------
x - y = 2      ← Add y from both sides
    + y   +y       

x = 2 + y 

--------------------------------------------------------------
Substitute x = 2 + y into equation 2
--------------------------------------------------------------
x + y = 12                      ← Substitute x = 2 + y
2 + y + y = 12                ← combine like terms  
2 + 2y = 12                    ← Subtract 2 from both sides
-2           -2
2y = 10                          ← Divide by 2 on both sides
÷2    ÷2
y = 5

--------------------------------------------------------------
Substitute y = 5 into equation 1
--------------------------------------------------------------
x - y = 2                          ← substitute  y = 5
x - 5 = 2                          ← add 5 on both sides
   +5   +5
x = 7

Now we know the value of x and y. Lets find the 2-digit number.

--------------------------------------------------------------
Find the 2-digit number
--------------------------------------------------------------
The number = 10x + y = 10(7) + 5 = 75

--------------------------------------------------------------
Answer: The number is 75
--------------------------------------------------------------

5 0
3 years ago
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