Elizabeth and daniel are starting competing coffee roasting businesses. they each first buy a large coffee roasting machine and then spend money to buy coffee beans as they need them.

for daniel, these costs can be described by the equation y = 7x + 55 where y is total cost in thousands of dollars and x is the number of tons of coffee beans roasted.

Acircular garden with radius of 8 feet is surrounded by a circular path with a width of 3 feet. what is the approximate area of the path alone? use 3.14 for π

Write 17/20 as a decimal and as a percent.

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.