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balandron [24]
4 years ago
10

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm

aller ferry. How long does it take the larger ferry to transport a day's cargo working alone?
Mathematics
1 answer:
Ksju [112]4 years ago
6 0

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

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3 years ago
Sammy wants to buy a new video game that cost 41.95 he is saving 2.25 everyday. How many days did it take for him to save enough
vodka [1.7K]

Answer:

19 days

Step-by-step explanation:

The first day he saves 2.25.

The second day he has saved 2.25 + 2.25 or 2.25(2).

The third day he has saved 2.25 + 2.25 + 2.25 or 2.25(3)

This continues for x number of days so 2.25x.

If the video game costs 41.95 then set equal to 2.25x and solve.

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5 0
3 years ago
Solve the percent change . state if increase or decrease.
Dmitry [639]

Answer:

1.) 18 is decreasing by 83%

2.) 16 is decreasing by 12.5%

Step-by-step explanation:

Part ÷ Whole = Percent (decimal form)

1.) First, you subtract the smaller number from the larger number: 18 - 3 = 15. Then you find the percent of the part: 15 ÷ 18 = 0.833333333333. This can be rounded to 0.83. Multiply 0.83 by 100 to get the percentage: 0.83 • 100 = 83%. To check your answer, multiply 0.83 by 18. It checks out. 18 is being <em>decreased</em> by 83%.

2.) Subtract 14 from 16 to get 2. Then divide 2 by 16: 2 ÷ 16 = 0.125. Multiply that by 100: 0.125 • 100 = 12.5%. To check this, we multiply 0.125 • 16 = 2. It works. So, 16 is being <em>decreased</em> by 2%.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

5 0
3 years ago
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