Katie's orange tree has 30 oranges. Katie's tree has three times as many fruits as Lisa's did before Lisa harvested half of her

Answer:

6 knots

Step-by-step explanation:

Let the velocity be v knots

thus, the time required to traverse 500 M is given by 500 / v hours

Fuel consumption per hour is equal to 216 plus half the cube of the speed (v^3).

Let F denote the fuel consumption for the journey

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

The derivative of F with respect to v is: dF/dv = 500[ - 216/v^2 + v]

The second derivative, d^2F/d^2v = 500[432/v^3 + 1], indicates positivity.

Setting dF/dv to zero helps find the minimum.

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

By solving, we arrive at v = [216]^(1/3) = 6 knots

Answer: 140

Oleg, Sasha, and Dima divided 600 toys among themselves. Sasha possessed twice as many toys as Oleg, while Dima had 40 more toys than Oleg.

Let Oleg's total toys be represented by x.

Let Sasha’s toys be denoted as y.

Let Dima's toys be referred to as z.

Sasha has double the amount of toys compared to Oleg.

This translates to y = 2*x= 2x.

Dima has 40 toys greater than Oleg.

Which means z = x + 40.

The total toys shared among Oleg, Sasha, and Dima is 600.

x + y + z= 600.

Substituting y=2x and z=x+40 into the equation:

Substituting values for y and z in:

Subtracting 40 from both sides:

Dividing everything by 4:

This shows Oleg has 140 toys.

Step-by-step explanation:

The price of a watermelon basket is $9 before tax, with a tax rate of 9%.

The tax amount for the watermelon basket is calculated as follows:



Therefore, the total that Tiffany pays for the basket comes to $9 + $0.81 = $9.81

P(f | weekend) = p(f & weekend)/p(weekend)
.. = 10%/25%
.. = 0.4 = 2/5