The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

By buying two shirts, Bob will save $19 x \( \frac{10}{100} \) = \( \frac{$19 x 10}{100} \) = \( \frac{$190}{100} \) = $1.90 on the second shirt.

So, his total cost will be
$19.00 + ($19.00 - $1.90)
$19.00 + $17.10
$36.10

If the tiger has consumed 88 pounds of food in 8 days that's \( \frac{88}{8} \) = 11 pounds of food per day. The tiger needs to consume 154 - 88 = 66 more pounds of food to reach 154 pounds total. At 11 pounds of food per day that's \( \frac{66}{11} \) = 6 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 54 meters so the equation becomes: 2w + 2h = 54.

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

2w + 2h = 54
w + h = \( \frac{54}{2} \)
w + h = 27
w = 27 - h

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

w = 27 - 2w
3w = 27
w = \( \frac{27}{3} \)
w = 9

Since h = 2w that makes h = (2 x 9) = 18 and the area = h x w = 9 x 18 = 162 m²

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $300
i = 0.09 x $300

No payments were made so the total amount due is the original amount + the accumulated interest: