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balandron [24]
3 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]3 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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A tortoise moves at a speed of 34 inches in 11 seconds. What is its average speed in feet per hour?
Elan Coil [88]

Answer:

927.3 feet per hour

Step-by-step explanation:

first determine how many seconds are in one hour

there are 60 seconds in one minute and 60 minutes in one hour

so there are 60x60, or 3600 seconds in one hour

now you can create a proportion of inches/seconds = inches/seconds

let 'x' = inches per hour

34/11 = x/3600

cross-multiply to get:

11x = 3600x34

11x = 122,400

x = 122,400/11

x = 11,127.3 inches per hour

to determine how many feet per hour you must divide 11,127.3 inches by 12

this equals 927.3 feet per hour

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2 years ago
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Paraphin [41]

Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

                                  N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

                                  M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

                                MA = √(3a / 2 - 0)² + b / 2 - 0)²

                                       = √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

8 0
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Answer:

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distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.

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2 years ago
Find f(-3) for f(x) = 4(2)^x<br> A. 1/8<br> B. -32<br> C. 1/2<br> D. -24
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{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}

Find f(-3) for f(x) = 4(2)^x

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((−3)(4))(2)

=(−12)(2)

=−24

8 0
2 years ago
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