Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by
in grams, is governed by the differential equation,

which is linear. Move the
term to the right side, then multiply both sides by
:


Integrate both sides, then solve for
:


Since the tank starts with 5 g of salt at time
, we have


The time it takes for the tank to hold 20 g of salt is
such that

Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.
A loaded moving truck is traveling 30 mph faster than a freight train...
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles...
135/(x-30)=225/x
the you multiply on both sides the x values and get...
135x=225x-6750
then you subtract 225x on both sides...
-90x=-6750
then you divide -90 on both sides...
x=75
the speed of the truck is 75mph
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Answer:
3.75
Step-by-step explanation:
2.25 divided by 9
= 0.25
then
0.25 * 9
= 3.75
Answer: There are 3 strips that can be cut from the roll of ribbon.
Step-by-step explanation:
since we have given that
Length of a ribbon is given by

Length of pieces of ribbon cut into strips is given by

So, we need to find the number of strips that can be cut is given by

Hence, there are 3 strips that can be cut from the roll of ribbon.
Answer:
Number of rectangles could alex draw with an area of 11cm² = 1
Step-by-step explanation:
Minimum length in centimeter grid = 1 cm
Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²
That is

These are the 3 different rectangles with an area of 12cm².
Now we need to find how many rectangles could alex draw with an area of 11cm².
11 = 1 x 11
So only one factorization is possible.
Number of rectangles could alex draw with an area of 11cm² = 1