Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8?

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

$4x+2y=222$

"He paid $213 for two hours skiing and three hours boating":

$2x+3y=213$

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0

3 years ago

A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for t

wariber [46]

The cost for the children tickets is $9

5 0

2 years ago

What is 6/5 x 25/24 = ?

Margaret [11]

The answer is 5/4 or 1 and 1/4 (both answers are correct just different forms), hope this helps !

5 0

2 years ago

Read 2 more answers

Please do answer: Simplify the expression---5x-2y + 3x + 2y (100 points)

netineya [11]

5x-2y+3x+2y

Combine like terms

5x+3x-2y+2y
(5+3)x+(-2+2)y
8x+0
8x

8 0

2 years ago

Read 2 more answers

You have been asked to find the inverse of f (x) = 3+Vx - 1. What would your

Paha777 [63]

Answer:

Add 1 to both sides of the equation.

Subtract 3 from both sides of the equation.

Step-by-step explanation:

The inverse of a function refers to that function that tends to undo another function.

If we intend to find the inverse of the function, f(x) = 3+ V2 - 1, we have to first add 1 to both sides of the equation and subsequently subtract 3 from both sides of the equation before taking the square root of both sides to obtain the inverse function.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

8 0

3 years ago