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elena55 [62]
2 years ago
10

3/4(48 - 16) = 4(4 + 2x)

Mathematics
1 answer:
max2010maxim [7]2 years ago
7 0

Subtract the numbers

3/4 (48-16)=4(4 + 2x)

3/4(32)=4(4+2x)

Multiply the numbers

3/4x32=4(4 + 2x) Remember 3/4 is equal to .75

24=4(4 + 2x)

Rearrange terms

24=4(4 + 2x)

24=4(2x + 4)

24=8x+16

Subtract  1 6  from both sides of the equation

24-16=8x+16-16

8=8x+16-16

8=8x

Divide both sides of the equation by the same term

8=8x

<u>8=8x</u>

8   8

Simplify

1=<u>8x</u>

   8

Cancel terms that are in both the numerator and denominator

1=x

Move to the left

x=1

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Given:

The expression is 5+4\times 2+6-2\times 2-1.

To find:

The position of parentheses inserted in the expression to get the value 19

Step-by-step explanation:

We have,

5+4\times 2+6-2\times 2-1

Now,

(5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1

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(5+4)\times 2+6-2\times 2-1=18+1

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There are more ways to apply the parenthesis, but we do not get 19.

5+4*\left(2+6\right)-2*2-1=32\neq 19

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And many more possibilities.

Therefore, the expression after inserting the parentheses is (5+4)\times 2+6-2\times 2-1.

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Answer:

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