Lauren rode her bike from her house to a friend house 3 1/3 miles away. on the first leg of her trip she rode uphill at 3 miles per hour. the second part of the trip covered a larger distance but was downhill and lauren rode at 5 miles per hour. if the downhill part of the ride took half an hour how many minutes was the uphill part of the ride.

The uphill part of the ride would have taken 16 minutes and 40 seconds.

This can be found first by determining how many miles Lauren went during the downhill portion. This can be found by multiplying the speed by the time.

5mph * .5hrs = 2 1/2 miles.

Now we can determine how far she needs to go during the uphill portion by subtracting the downhill portion from the entire ride.

3 1/3 miles - 2 1/2 miles = 5/6 miles.

Now that we know she needs to go 5/6 miles for the uphill portion, we can divide the distance by the speed.

5/6 miles / 3 mile per hour = 5/18 hours = 16.67 mins or 16 mins and 40 seconds.

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step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

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: