David worked 7 1/3 hours today and planted 11 trees. It takes him about the same amount of time to plant each tree. How long did it take him to plant each tree?

It takes David 2/3 hours to plant each tree.

Since it takes David 7 1/3 hours today to plant 11 trees.

Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours

The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree

Therefore it takes David 2/3 hours to plant each tree.

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2/3 hours or 40 mins.

Step-by-step explanation:

No. of trees planted by David = 11

No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3

It takes him about the same amount of time to plant each tree

let time taken to plan 1 tree be x

then  time taken to plan 1*11 tree = 11*x

But, given that total time taken is 22/3 hours

thus,

11x = 22/3 hours

x = 22/(3 *11) = 2/3

Thus, it took 2/3 hours to plant each tree.

As 1 hour has 60 minutes

Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: