A customer wants to purchase a sweater from a store. • The original price of the sweater is $40.
• The sweater is on sale for 20% off the original price.
• A sales tax of 5% is applied after the discount.
What was the final price of the sweater?

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Select the correct answer from each drop-down menu. the length of a rectangle is 5 inches more than its width. the area of the rectangle is 50 square inches. the quadratic equation that represents this situation is the length of the rectangle is inches.