The snack stand at an ice-skating rink sells warm drinks to cold skaters. Skaters can choose from hot chocolate, apple cider, or coffee. Last weekend, skaters bought 126 cups of hot chocolate, apple cider, or coffee in all. They bought twice as many cups of hot chocolate as cups of apple cider. They bought 3 times as many cups of coffee as cups of apple cider. How many cups of hot chocolate did skaters buy last weekend?

The correct answer is 42

Step-by-step explanation:

You need to find how many cups of hot chocolate skaters bought last weekend. Start with the information in the problem.

Skaters bought 126 cups of hot chocolate, apple cider, or coffee in all.

They bought twice as many cups of hot chocolate as cups of apple cider.

They bought 3 times as many cups of coffee as cups of apple cider.

You can use a diagram to model the problem. Skaters bought the fewest number of cups of apple cider, so start with apple cider.

Skaters bought twice as many cups of hot chocolate as cups of apple cider. So, draw 1 box to represent the number of cups of apple cider and 2 boxes to represent the number of cups of hot chocolate.

apple cider

hot chocolate

coffee

Skaters bought 3 times as many cups of coffee as cups of apple cider. There is 1 box for apple cider. So, draw 3 boxes to represent the number of cups of coffee.

apple cider = 1 box

hot chocolate = 2 box

coffee = 3 box

There are 6 boxes in the diagram in all. Skaters bought a total of 126 cups of hot chocolate, apple cider, or coffee. So, each box represents 126÷6 cups. Divide.

21

6

126

–12

06

–  6

0

Each box represents 21 cups. There are 2 boxes for hot chocolate. Multiply to find the number of cups of hot chocolate skaters bought.

21

×  2

42

Skaters bought 42 cups of hot chocolate last weekend.

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:

b. hannah is playing with her cousin at