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mojhsa [17]
3 years ago
5

Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
4/24= 1/6
(1/6)*84= 14 had nuts

20/24= 5/6
(5/6)* 84 = 70 no nuts
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El recorrido de una etapa de una vuelta ciclística tiene una longitud de 213 kilometros y un ciclista recorre 2/3 del trayecto e
Maurinko [17]

the question in English

The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.

a) How many kilometers are left to finish the stage?

b) If he continues with the same average speed, how much time does he have left to finish the stage?

Step 1

we know that

1) Total kilometers of a stage is 213\ km

2) The cyclist covers \frac{2}{3} of the route

so

the kilometers remaining to finish the stage is equal to

(1-\frac{2}{3})*213= \frac{1}{3}*213\\ \\=71\ km

therefore

<u>the answer   Part a) is </u>

71\ km

Step 2

<u>Find the average speed of the cyclist</u>

we know that

the speed is equal to

speed=\frac{distance}{time}

we have

time=5\ hours\\ distance=\frac{2}{3}*213=142\ km

substitute

speed=\frac{142}{5}=28.4\frac{km}{h}

Step 3

<u>Find the time remaining to finish the stage</u>

we know that

speed=\frac{distance}{time}

Solve for the time

time=\frac{distance}{speed}

we have

distance=71\ km\\ speed=28.4\frac{km}{h}

substitute

time=\frac{71}{28.4}=2.5\ hours

therefore

<u>the answer Part b) is</u>

2.5\ hours


8 0
3 years ago
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