PLEASE HURRY
Write a proportion to solve each problem.

1. A man weighs 150 pounds on Earth will weigh just 25 pounds on the moon. How much will a young girl weigh on the moon if she weighs 75 pounds on Earth?

2. A model car has a ratio of 1:25 to the actual car. If a model is 5 inches long, how long is the actual car.

3. Soccer balls are on sale at 2 for $18.00. The coach purchases 5 of them. How much does she pay?

Using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. maximum at (2, –2) minimum at (2, –2) maximum at (2, 6) minimum at (2, 6)

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.