V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y
V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h
V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y
Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)
Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8
Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
Answer: 3 x n -10 = n + 4
Step-by-step explanation:
n is your number,
3 times a number is 3 x n;
10 less than 3 times a number is 3 x n - 10
same means equality, we will use "="sign
3 x n - 10 = ...
n is your number
number plus 4 is (n + 4) --->
final expression is:
3 x n - 10 = n + 4
Answer:
C
Step-by-step explanation:
The expression in C is actually defined as y = 5^(x) which is an exponential function.
