the number of feet between 2 objects varies directly as the number of miles. if the distance between 2 objects is 2 1/2 miles or 13,200 feet, how many feet are equivalent to a distance of 7 miles? plz show the work too!!!
2.5/13,200 = 7/x
Cross multiply and solve for x.
thanks mrs.sue!!!!!
Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42
A side of the triangle below has been extended to form an exterior angle of 71°. Find the value of x.
To solve this problem, we need to understand that "varies directly" means that the relationship between the number of feet and miles is proportional. In other words, we can use a proportion to find the missing value.
Let's set up the proportion:
Feet / Miles = Feet / Miles
We know that when the distance between two objects is 2 1/2 miles or 13,200 feet. So, we can write the first proportion:
13,200 feet / 2.5 miles = Feet / 7 miles
To find the value of Feet, we need to cross multiply and solve for it:
13,200 feet * 7 miles = 2.5 miles * Feet
92,400 feet * miles = 2.5 miles * Feet
Divide both sides by 2.5 miles to isolate Feet:
92,400 feet * miles / 2.5 miles = Feet
36,960 feet = Feet
Therefore, a distance of 7 miles is equivalent to 36,960 feet.