Let the original price be x. After a 10% discount, selling price = x - 0.1x = 0.9x. Given selling price = $180, so 0.9x = 180. Therefore, x = 180 / 0.9 = $200.

Profit = Selling Price - Cost Price = 25000 - 20000 = 5000. Percentage profit = (Profit / Cost Price) * 100 = (5000 / 20000) * 100 = 25%.

Speed = 120 km / 2 hours = 60 km/h. In 5 hours, distance = 60 km/h * 5 hours = 300 km.

Volume of a cone = (1/3)πr²h = (1/3)π(2)²(6) = 8π cm³.

Volume of a cube = side³ = 4³ = 64 cm³.

Discount = Marked Price - Selling Price = 80 - 64 = $16. Percentage discount = (Discount / Marked Price) * 100 = (16 / 80) * 100 = 20%.

Let the number be 100. After a 20% increase, it becomes 120. After a 20% decrease, it becomes 120 - 24 = 96. The net change is (96 - 100)/100 * 100% = -4%.

Discount = 15% of 200 = 0.15 * 200 = $30. Selling price = Marked Price - Discount = 200 - 30 = $170.

The sum of angles in a quadrilateral is 360 degrees. Therefore, the fourth angle is 360 - (70 + 80 + 90) = 120 degrees.

The perimeter is the sum of all sides: 5 + 12 + 13 + 14 = 44 cm.

The opposite sides are equal and parallel, making it a parallelogram.

Flour per serving = 4 cups / 8 servings = 0.5 cups. For 20 servings, 20 * 0.5 = 10 cups.

Volume = length × width × height = 10 × 5 × 2 = 100 cm³.

Surface area = 2(lw + lh + wh) = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 2(26) = 52 cm².

Let the marked price be x. After a 20% discount, selling price = x - 0.2x = 0.8x. Given selling price = $120, so 0.8x = 120. Therefore, x = 120 / 0.8 = $150.

New price after 25% increase = 40 + 0.25 * 40 = 40 + 10 = $50. Discount = 20% of 50 = 0.2 * 50 = $10. Final price = 50 - 10 = $40.

Average percentage = (75% + 85%) / 2 = 160% / 2 = 80%.

Filling rate = 1/6 tank/hour, emptying rate = 1/8 tank/hour. Net rate = (1/6 - 1/8) = 1/24 tank/hour. Time = 1 / (1/24) = 24 hours.

Volume = Base area × height = 10 cm² × 5 cm = 50 cm³.

The line graph shows that sales for Product B were consistently increasing over the year.

To divide 5/8 by 1/2, multiply by the reciprocal: 5/8 * 2/1 = 10/8 = 5/4.

The expression 2x^2 + 8x can be factored by taking out the common factor 2x, resulting in 2x(x + 4).

The expression 3x^2 - 12 can be factored by taking out the common factor 3, resulting in 3(x^2 - 4), which further factors to 3(x - 2)(x + 2).

The expression 4x^2 - 25 is a difference of squares, which factors to (2x - 5)(2x + 5).

The expression x^2 + 3x - 10 factors to (x + 5)(x - 2) since 5 and -2 add to 3 and multiply to -10.

The expression x^2 + 5x + 6 factors to (x + 2)(x + 3) since 2 and 3 add to 5 and multiply to 6.

The expression x^2 + 7x + 10 factors to (x + 5)(x + 2) since 5 and 2 add to 7 and multiply to 10.

The expression x^2 - 4x + 4 is a perfect square trinomial and factors to (x - 2)(x - 2) or (x - 2)^2.

The expression x^2 - 6x + 9 is a perfect square trinomial and factors to (x - 3)(x - 3) or (x - 3)^2.

The expression x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).