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kolbaska11 [484]
3 years ago
8

The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on th

e return trip of 2 hours. What is the distance between the island?
Mathematics
1 answer:
notka56 [123]3 years ago
6 0
The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!

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Read 2 more answers
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a
nikitadnepr [17]

Answer:

The equation needed is

\frac{3}{4}p=423

p=564\ friends

Step-by-step explanation:

<u><em>The correct question is</em></u>

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party

we know that

Each guest will receive 3/4 of a cup of yogurt

so

using proportion

Find out the number of people, who can be invited to the party, if Clancy has 423 cups of yogurt to share with his friends

Let

p -----> the number of people

\frac{1}{(3/4)} =\frac{p}{423}

\frac{3}{4}p=423 -----> equation needed

p=\frac{423}{(3/4)}

p=\frac{423*4}{3}

p=\frac{1,692}{3}

p=564\ friends

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2 years ago
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