If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are red? *A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing the new machine?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

What rotation was applied to triangle def to create d’e’f’?

Arepresentative from plan 1 wants to use the graph below to sell health plans for his company how might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans?