Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:

We are given the volume of a cone is

Equating:

Multiplying by 3:

Simplifying by pi:

Since h=x:

Dividing by x:

Taking square roots:

Thus: r=3x
Answer: 59
explanation: PEMDAS, first multiply 9x6 as they are multiplication then add
good luck!
Answer:
From the above we can roughly for an equation which is:
58.50 = Bill - (10% x Bill)
58.5 = Bill - (1/10 x Bill)
58.5 = 9/10 x Bill (Divide both sides by 9/10)
We get:
Bill = 58.5 / (9/10)
Bill = 65
Original bill is $65.
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get

We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem