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alexgriva [62]
3 years ago
6

-4(4y-10)+3(2y+8) simplify the expression

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  2y + 8  =   2 • (y + 4)  

Equation at the end of step  2  :

 (0 -  (4 • (4y - 10))) +  6 • (y + 4)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  4y - 10  =   2 • (2y - 5)  

Equation at the end of step  4  :

 (0 -  8 • (2y - 5)) +  6 • (y + 4)

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  64 - 10y  =   -2 • (5y - 32)  

Final result :

 -2 • (5y - 32)

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Step-by-step explanation:

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Total value of coins = $4.05 or 405 cents

To find:

Number of nickels and dimes?

Solution:

Let number of nickels = x

Money value of nickels = 5x

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Money value of dimes = 10y

Total value of coins = 5x+10y

This value is given as equal as 405.

As per question statement, the equations can be written as:

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Multiplying equation (2) with 5 and subtracting from equation (1):

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Number of dimes = 34

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