Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Answer:
2 1/3 cups of flour for every dozen muffins
Step-by-step explanation:
1 1/2 dozen muffins equals 3 1/2 cups of flour which is also the same as 7/2 cups of flour. I know that (3) 1/2 dozen equals 1 1/2 dozen so I divided 7/2 by 3 which is 1 1/6 to get how much flour for 1/2 dozen then multiplied it by 2 to get how much flour in a dozen = 2 2/6 which simplified is 2 1/3.
Answer:
it y = 2x + b
Step-by-step explanation:
YOU NEED TO PUT THE M FIRST NOT THE X
Answer:
- equation: (7x-4) +19 +(10x+3) = 52
- x = 2
- red: 10
- blue: 19
- yellow: 23
Step-by-step explanation:
The equation is based on the relation that the perimeter is equal to the sum of the side lengths.
P = red + blue + yellow
52 = (7x -4) +(19) +(10x +3)
52 = 17x +18 . . . . . . . . . . . . . . simplify
34 = 17x . . . . . . . . . . . . . subtract 18
2 = x . . . . . . . . . . . . divide by 17
__
red = 7(2) -4 = 10
blue = 19
yellow = 10(2) +3 = 23
<u>Answer</u>
The answer is <em>p=25</em>
