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Speed is the ratio of distance and time.
So, average speed= Total distance/ total time.
Let's assume t is the time taken for going from New Orleans to Boston and it's taking 1 hour less to return back. So, time taken for return back is t-1.
Given the speed from New Orleans to Boston is 40 mph. So,
Distance = Speed * time
So, d =40 t
Hence t= d/40
Similarly Distance for returning back:
d =80 (t-1)
d/80 = t-1 (Dividing 80 to each sides)
Now the total distance= d+ d = 2d
And total time : t + t -1= d/40 + d/80
So, the average speed =
= (cancel out d )
Common denominator of 40 and 80 is 80. So, multiply each terms by 80.
=
=
=
=53.33 mph
So, the average speed is 53.33 mph.
Answer:
18 degrees.
Step-by-step explanation:
12 - (-6)
= 12 + 6
= 18.
Write the equation in point slope form for the line through the given point that has the given slope.
Answer:
20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
Step-by-step explanation:
Let x be the amount of coffee that costs $12 per pound
Cost of x amount of this type coffee = 12x
We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound
So, Amount of coffee required that costs $9 per pound = 20-x
Cost of (20-x) amount of this type of coffee = 9(20-x)
So,
Amount of coffee that costs $12 per pound required is
Amount of coffee that costs $9 per pound required = 20-x=
Hence 20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required