Answer:
B
Step-by-step explanation:
22+25=47
47/2=23.5 Average shoes rented per hour
23.5*9=211.5 shoes rented per 9 hours
211.5*3=634.5 Shoes rented per 9 hours for 3 days
634 closest answer is B
The correct answer is option 4! you have a good day as well
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
Answer:
0.03
Step-by-step explanation:
divide 3 by 10^3 to obtain the answer.
Answer:
(a) 60 cups
(b) 5 cookies, 8 muffins and 4 cupcakes in each container
Step-by-step explanation:
Given
Let:
So:
Solving (a): The greatest number of containers to be used;
To do this, we first reduce the ratio to the lowest
C : M : K = 300 : 480 : 240
Divide by 60
<em>The ratio cannot be further reduced. Hence, he will use 60 cups</em>
Solving (b): The number in each cup
In (a), we have:
This means that;
<em />
<em> --- Cookies</em>
<em />
<em> --- Muffins</em>
<em />
<em> -- - Cupcakes</em>
