Ms. Kenney's husband provides music lessons online for a fee. He charges $25 per lesson plus an initial fee of $50. How many lessons could Mrs. Murphy sign up for if she wants to spend no more than $100? Write an inequality to represent this problem. Show all steps to solve the inequality. Explain your final answer and what it means in the context of the given problem:​

The parabola y = x² - 4 opens: a.) up b.) down c.) right d.) left

Which equation represents the model shown? a)1/3 divide 1/6 = 2 b)2/3 divide 1/6 = 2/18 c)1/3 divide 1/6 = 1/18 d)2/3 divide 1/6 =4

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?