Question

Which equation represents the sentence 'twice the difference of 0.75 and a number is -3'?

1) 2(0.75 - n) = -3
2) 2n - 0.75 = -3
3) 2(n - 0.75) = -3
4) 0.75 - 2n = -3

Answer 1

The equation that represents the sentence 'twice the difference of 0.75 and a number is -3' is 2(n - 0.75) = -3. To solve this equation, distribute the 2, combine like terms, and solve for n.

Step-by-step explanation:

The equation that represents the sentence 'twice the difference of 0.75 and a number is -3' is option 3) 2(n - 0.75) = -3.

To solve this equation, you can start by distributing the 2 to both terms inside the parentheses:

2n - 1.5 = -3

Next, add 1.5 to both sides of the equation:

2n = -1.5 - 3

Simplify the right side of the equation:

2n = -4.5

Finally, divide both sides of the equation by 2 to solve for n:

n = -2.25