Question

Add: 12(x+4)+14(4x−2) . Answer should be in mixed number form

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we can distribute the coefficients:

12(x+4) + 14(4x-2) = 12*x + 12*4 + 14*4x - 14*2

Simplifying further:

= 12x + 48 + 56x - 28

Combining like terms:

= (12x + 56x) + (48 - 28)

= 68x + 20

The simplified expression in mixed number form is 68x + 20.

Answer 2

Add: 1/2(x+4)+1/4(4x−2) . Answer should be in mixed number form

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we can distribute the coefficients:

1/2(x+4) + 1/4(4x-2) = 1/2*x + 1/2*4 + 1/4*4x - 1/4*2

Simplifying further:

= 1/2*x + 2/2 + 4/4*x - 2/4

= 1/2*x + 1 + x - 1/2

Combining like terms:

= (1/2*x + x) + (1 - 1/2)

= 3/2*x + 1/2

The simplified expression in mixed number form is 1 1/2x + 1/2.

Answer 4

sorry that is wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's redo the simplification:

1/2(x+4) + 1/4(4x−2)

= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2

= 1/2x + 2/2 + 4/4x - 2/4

= 1/2x + 1 + x - 1/2

= (1/2x + x) + (1 - 1/2)

= 3/2x + 1 - 1/2

= 3/2x - 1/2

The simplified expression in mixed number form is 1 1/2x - 1/2.

Answer 6

now make it not a mixed number please

Answer 7

[AI-generated answer — Bot GPT 3.5]

To convert the expression back into an improper fraction, we can find a common denominator and add the fractions:

3/2x - 1/2 = (3x - 1)/2

So the simplified expression, not in mixed number form, is (3x - 1)/2.