Answer:
Step-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
- Distance = 20 km
- Time difference = 20 min = 1/3 hr
- Speed difference = 2 km/h
<u>As per above info we get following equations:</u>
- s = d + 2
- 20/s + 1/3 = 20/d
<u>Substitute s and solve for d:</u>
<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>
- 60d + d(d + 2) = 60(d + 2)
- 60d + d² + 2d = 60d + 120
- d² + 2d = 120
- d² + 2d + 1 = 121
- (d + 1)² = 11²
- d + 1 = 11
- d = 10
<u>Find s:</u>
<u>The answer is</u>
- Masha's speed 12 km/h and Dasha's speed 10 km/h
Answer:
C
Step-by-step explanation:
First check if the triangle is right.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 
and ( )² = 12
2² + (
)² = 4 + 8 = 12
Thus the triangle is right → C
According to my calculations, it would take approximately 3.4 (being in decimal form) pages PER minute or Just 3 minuets being rounded to the nearest tenth. If I am I correct please correct me. I used a calculator.
<h2>
Hello!</h2>
The answer is: 15mg
<h2>Why?</h2>
0.5% means that there are 0.5 grams per 100 mL, and a 0.5 grams are equal to 500 milligrams.
So, to calculate how many milligrams will be received per injection, we need to make the following calculations:
Have a nice day!
At any time 
(min), the volume of solution in the tank is
If 
is the amount of salt in the tank at any time , then the solution has a concentration of 
.
The net rate of change of the amount of salt in the solution, 
, is the difference between the amount flowing in and the amount getting pumped out:
Dropping the units and simplifying, we get the linear ODE
Multiplying both sides by 
allows us to identify the left side as a derivative of a product:
Integrate and divide both sides by to get
The tanks starts off with 30 lb of salt, so 
and we can solve for 
to get a particular solution of
