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rusak2 [61]
2 years ago
13

A boat's speed in still water is 4 km/h. The boat cruises from A to B along a river flowing at an average speed of x km/h in the

direction A to B. If the distance AB is 5 km and the boat takes 2 hours more on its return journey, determine x. Hence, find the total time taken for the whole journey.​
Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Answer:

Answer: The speed of the boat in still water or 'b' = 10 km/h. The speed of the current or the river = 4 km/h. Therefore the speed of the boat when going upstream = b – r = 10 – 4 = 6 km/hr.

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I need help on it, I don’t know what I’m supposed to do
bogdanovich [222]

Answer:

The length of river frontage for each lot are 96.55 ft. 98.85 ft, 101.15 ft and 103.45 ft.

Step-by-step explanation:

See the attached diagram.

The river frontage of 400 ft will be divided into 84 : 86 : 88 : 90 for each lot as AP, BQ, CR, DS and ET all are parallel.

Therefore, PQ : QR : RS : ST = 84 : 86 : 88 : 90 = 42 : 43 : 44 : 45

Let, PQ = 42x, QR = 43x, RS = 44x and ST = 45x

So, (42x + 43x + 44x + 45x) = 400

⇒ 175x = 400

⇒ x = 2.2988.

So, PQ = 42x = 96.55 ft.

QR = 43x = 98.85 ft.

RS = 44x = 101.15 ft and  

ST = 45x = 103.45 ft

(Answer)

6 0
3 years ago
There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 i
Zanzabum

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

5 0
3 years ago
What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer
Alika [10]

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= 3\sqrt{2}

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; Diagonal= s\sqrt{2}

Where, s is side of square.

⇒ 3\sqrt{2} = s\sqrt{2}

Dividing both side by √2

⇒s= \frac{3\sqrt{2} }{\sqrt{2} }

∴s= 3

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; Perimeter= 4s

⇒Perimeter= 4\times 3

∴ Perimeter= 12

Hence, Perimeter of square is 12.

6 0
4 years ago
A survey of students at a particular college showed that 33% of them prefer the American Heritage Dictionary (as opposed to Webs
vladimir1956 [14]

Answer:

.066 = 6.6 percent chance

Step-by-step explanation:

1 in 5 chance to get 6, so that is .20 multiply .20 and .33 and you get .066

8 0
3 years ago
a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas
Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

Pt= P_0e^k^t

  • Initial amount= 50
  • amount after 3 hours= 80

To find the exponential growth;

80 = 50e^k^*^3

k= 1.6/3\\k= 0.533

If there is a constant growth, then to get to 1119:

1119= 50e^0^.^5^3^3^*t

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

#SPJ1

6 0
2 years ago
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