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vlabodo [156]
3 years ago
12

A riverboat travels 52 km downstream in 2 hours. It travels 66 km upstream in 3 hours. Find the speed of the boat and the speed

of the stream
The speed of the boat is
and the speed of the stream is
Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

The speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Step-by-step explanation:

Given that a riverboat travels 52 km downstream in 2 hours, and it travels 66 km upstream in 3 hours, the following calculations must be performed to find the speed of the boat and the speed of the stream:

Downstream = 52/2 = 26

Upstream = 66/3 = 22

Stream = 4/2 = 2

Therefore, the speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

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The cylindrical giant ocean tank at the New England aquarium in Boston is 24 feet deep and has a radius of 18.8 feet find the vo
Marina CMI [18]
It is 26635.2384 because you multiply the pi times the radius18.8 to the 2nd power times the height that is 24
7 0
3 years ago
Read 2 more answers
Godfrey plays a game in which he throws two fair six sided dice. If he rolls two sizes, he wins 20p, if he rolls one six, he win
blagie [28]

Answer:

The Probabilty distribution for the amount Godfrey gains in one turn is then given as

X ||| P(X)

15p | 0.0278

5p | 0.278

-5p | 0.6942

Step-by-step explanation:

If random variable X represents the amount Godfrey gains in one turn.

There are 3 different possible outcomes for X.

- Godfrey pays 5p to enter the game and gets two sixes and wins 20p.

Net gain = 15p

Probability of getting two sixes from two fair dice

= (number of outcomes with two sixes) ÷ (total number of outcomes)

number of outcomes with two sixes = 1

total number of possible outcomes = 36

Probability of getting two sides from two fair dice = (1/36) = 0.0278

- Godfrey pays 5p to enter the game and gets only one six and wins 10p.

Net gain = 5p

Probability of getting one six from either of two fair dice

= (number of outcomes with one six) ÷ (total number of outcomes)

number of outcomes with one six = 2 × n[(6,1), (6,2), (6,3), (6,4), (6,5)] = 2 × 5 = 10

total number of possible outcomes = 36

Probability of getting two sides from two fair dice = (10/36) = 0.278

- Godfrey pays 5p to enter the game and doesn't win anything

Net gain = -5p

Probability of not getting two sixes or one six.

= 1 - [(Probability of getting two sixes) + (Probability of getting one six on.wither dice)]

= 1 - 0.0278 - 0.278 = 0.6942

Probability of getting not getting two sixes or one six = 0.6942

The Probabilty distribution for the amount Godfrey gains in one turn is then given as

X ||| P(X)

15p | 0.0278

5p | 0.278

-5p | 0.6942

Hope this Helps!!!

4 0
3 years ago
Read 2 more answers
When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int
Mars2501 [29]

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17  Subtract 5 from both sides

4x = 12  Divide both sides by 4

x = 3  

Three is the smaller integer and 4 is the greater integer.

5 0
1 year ago
I am confused and it's due tomorrow
shusha [124]
That looks hard... I can see the attachment tho<span />
5 0
3 years ago
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You have two nickels three dimes and a quarter. Using at least one of each coin, how many different amounts of money can you mak
Slav-nsk [51]
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)

1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40

2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45

1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50

1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60

2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55

2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65

You can make 6 different amounts. 
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6
6 0
3 years ago
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