Answer:
X+y=237Litres
Step-by-step explanation:
Let a be mixture of milk and water.
Let x =milk
Let y= water
z = x+y
Final volume of mixture =63litres + z
5/12(3+z))+60=8/15(63-z)
z =x+y= 237litres
Let the smaller number = X
Then the larger number is 3x+4 ( four more than 3 times the smaller number)
The sum of both numbers = 80
so you have X + 3X+4 = 80
Simplify the left side:
4x+4 = 80
Subtract 4 from each side:
4x = 76
Divide both sides by 4:
X = 76/4
X = 19
The smallest number is 19
The largest number is 80 - 19 = 61 ( check: 3*19 = 57+4 = 61)
The two numbers are 19 and 61
12 divided by 3 is 4
if 2 of each of these is stripped that means 8/12 are striped
5.555 = 5.1
+ 0.05 + 0.005
<span> = 5.5 + 0.05 + 0.05(.1)</span>
<span> = 5.5 + 0.05/(1-.1)</span>
<span> =5.5+0.05/.9</span>
<span> =5.5 + 5/90</span>
<span> = 5.5+1/18</span>
<span> =55/10 + 1/18</span>
<span> = 495/90 + 5/90</span>
<span> =500/90</span>
<span> = 50/9</span>
<span> = 5 5/9</span>
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
