Which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

It is solved similarly to an equality, so:

Multiplying by -1, the signal changes from < to >. So

Thus the correct answer is given by the second number line.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6