If the tiger has consumed 56 pounds of food in 7 days that's \( \frac{56}{7} \) = 8 pounds of food per day. The tiger needs to consume 112 - 56 = 56 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's \( \frac{56}{8} \) = 7 more days.

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 6 meters so the equation becomes: 2w + 2h = 6.

Putting these two equations together and solving for width (w):

2w + 2h = 6
w + h = \( \frac{6}{2} \)
w + h = 3
w = 3 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 3 - 2w
3w = 3
w = \( \frac{3}{3} \)
w = 1

Since h = 2w that makes h = (2 x 1) = 2 and the area = h x w = 1 x 2 = 2 m²

By buying two shirts, Bob will save $27 x \( \frac{10}{100} \) = \( \frac{$27 x 10}{100} \) = \( \frac{$270}{100} \) = $2.70 on the second shirt.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

First, solve for \( \left|c - 1\right| \):

\( \left|c - 1\right| \) + 9 = 4
\( \left|c - 1\right| \) = 4 - 9
\( \left|c - 1\right| \) = -5

The value inside the absolute value brackets can be either positive or negative so (c - 1) must equal - 5 or --5 for \( \left|c - 1\right| \) to equal -5:

So, c = 6 or c = -4.