Sheldon has a traditional health insurance plan. He has a $200 deductible. The level of co-insurance for his plan is 90/10, where 10 represents Sheldon’s portion. He does not have a co-payment. If Sheldon incurs a $1,500 hospital bill, how much money will the insurance company pay for the bill?

Answer:

(x+3)(x+5)

Step-by-step explanation:

what two numbers will multiply to 15 and add up to 8?

3 and 5

so

(x+3)(x+5)

The solution to the system of equations is x = 2 and y = 4.

To solve the system of equations:

y = 6x - 8   ...(Equation 1)

y = -3x + 10  ...(Equation 2)

We can set the two equations equal to each other:

6x - 8 = -3x + 10

To solve for x,

6x + 3x = 10 + 8

9x = 18

Dividing both sides by 9:

x = 18/9

x = 2

So,  y = 6(2) - 8

y = 12 - 8

y = 4

Therefore, the solution to the system of equations is x = 2 and y = 4.

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Answer:

x = 2

Step-by-step explanation:

hey there,

< If these two are together, then the problem would look like this:

From the first equation, we can see that y = 6x-8. I am assuming in your problem you need to find what "x" is equal to, so plug in the first "y" value into the second one.

6x - 8 = -3x + 10

Bring all "x"s to one side and regular numbers to the other side.

6x + 3x = 10 + 8

9x = 18

x = 2

x = 2 is your final answer. >

Hope this helped! Feel free to ask anything else.

Final answer:

To find the volume of a cone and a cylinder with the same base and height, use the formulas for volume of a cone and volume of a cylinder. Solve for r^2 * h in the cone's volume formula, then use this value in the cylinder's volume formula.

Explanation:

To find the volume of the cylinder with the same base and height as the given cone, we need to know the formula for the volume of a cone and the formula for the volume of a cylinder. The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height of the cone. Since the cone has a volume of 15π cubic meters, we can set up the equation 15π = 1/3 * π * r^2 * h and solve for r^2 * h. Once we have r^2 * h, we can use the formula for the volume of a cylinder, V = π * r^2 * h, to calculate the volume of the cylinder.

, let's solve the equation 15π = 1/3 * π * r^2 * h for r^2 * h:

15π = 1/3 * π * r^2 * h

Multiplying both sides of the equation by 3, we get:

45π = π * r^2 * h

Canceling out the π on both sides of the equation, we get:

45 = r^2 * h

Now we have r^2 * h, which is 45. Let's plug this value into the formula for the volume of a cylinder, V = π * r^2 * h:

V = π * 45

So the volume of the cylinder with the same base and height as the given cone is 45π cubic meters.

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