Let w represent width of the pathway.
We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.
Since pathway will be on all sides, so new length and width of garden with pathway would be 
by 
.
We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.
The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.
We know that area of rectangle is width times length.
Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.
Therefore, our required inequality would be .
the two lines are perpendicular
y = -6 is a horizontal line ( slope of 0) and x = 1/6 is a vertical line (undefined slope). These are perpendicular to each other
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
Answer:
16
Step-by-step explanation:
y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.
y = 1.50x+15
40 = 1.50x+15
25 = 1.50x
16.666... = x
You can rent about 16 movies
Hope that helps
