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Sergio [31]
3 years ago
15

Simplify the expression and explain each step 4(3x + 2)-2

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

The simplest form of this expression is 12x + 6.

Step-by-step explanation:

4(3x + 2) - 2

12x + 8 - 2 --- distribute the 4

12x + 6 --- combine like terms (8 and -2)

The simplest form of this expression is 12x + 6.

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I need help been stuck for an hour now will mark the brainliest 40 points!
GenaCL600 [577]
A) x + y = 110
x - y = 40
B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
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