Answer:
x = 69.44
Step-by-step explanation:
We have, 36% × x = 25
or, 36/100 × x = 25
Multiplying both sides by 100 and dividing both sides by 36,
we have x = 25 × 100/36
x = 69.44
If you are using a calculator, simply enter 25×100÷36, which will give you the answer.
Answer: 24.24 miles
Step-by-step explanation:
We should note that 1000 metres = 1 kilometer.
Imelda rode her bicycle 39 kilometers which will be converted to meters a:
= 39 × 1000
= 39000 meters
Since 1 meter = 1.094 yards
39000 meters = 39000 × 1.094 = 42666 yards
To find find the distance Imelda rode her bicycle to the nearest mile goes thus:
1 mi = 1760 yd
42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and gas the acceleration due to gravity.
p = s + dgh
dgh = p - s
h = (p - s)/dg
Which formula represents h in terms of p, s, d, and g? Formula B is correct.
Answer:
a. 23
b. 13
c. 13/23
Step-by-step explanation:
a. 23 customers (13 +10) are on plan B (lol)
b. 13 customers on this plan text more often
c. Thus, 13/23 of customers on payment plan B use the phone most often to text
Hope this helps :)
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let 
be the depth of water in the barrel at time 
, where 
is measured in inches and in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that
where 
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by 
Multiply by 
Take integral
Integrate
Isolate
We know that the water level starts at 36, this means 
. We use this information to find the value of 
.
At t = 1, y = 34
So our formula for the depth of water in the barrel is
To find the time, , at which all the water leaks out of the barrel, we solve the equation
Thus, it will take about 35.49 hours for the water to leak out of the barrel.
