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ycow [4]
3 years ago
6

The boat sailed 30min upstream and sailed 60km, and returned the same distance downstream (60km) and sailed it in 20min. Find th

e boat's own speed and current speed. (ik this is probably easy but can i get help?)
Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

Step-by-step explanation:

b and c are the speeds of the boat and current, respectively.

Traveling upstream, the boat moves b-c km per hour.

Traveling downstream, the boat moves b+c km per hour.

b-c = (60 km)/(½ h) = (120 km)/h

b+c = (60 km)/(⅓ h) = (180 km)/h

Adding the equations together,

2b = (300 km)/h

b = (150 km)/h

c = (30 km)/h

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Dave drove to his friends house and back. It took one hour longer to go there than it did to come back. The average speed on the
mamaluj [8]

Remark

You know the most about the trip on the way back and the total of the two trips.

Way Back

r = 30 mph

d = distance traveled

t = t - 1 where t = the time to go there which we know nothing about

Total Distance

2d = 25 mph * (t + t - 1)

2d = 25 * (2t - 1)

2d = 50t  - 25                 Divide by 2

2d = 50t/2 - 25/2

d = 25t - 12.5

Equation coming back

d = 30*(t - 1)

d = 30t - 30

Comment

Since the distances are the same, equate them.

Solution

25t - 12.5 = 30t - 30                     Subtract 25t from both sides

25t - 25t -12.5 = 30t - 25t - 30   Combine like terms

-12.5 = 5t - 30                              Add 30 to both sides

-12.5 + 30 = 5t - 30 + 30             Combine

17.5 = 5t                                       Divide by 5

17.5/5 = t                                      Divide and Switch

t = 3.5

t is the time going there

t - 1 is the time coming back

Total time = 2*t - 1 = 2*3.5 - 1 = 6

The total time is 6 hours.   Answer


3 0
3 years ago
Someone please help<br> Me algebra 2
Bumek [7]

Answer:

Table I fill-in: 1.404

Table II fill-in: 1.661 (instead of the 2 that's there)

Step-by-step explanation:

The functions shown in Table I and II are inverses of each other. This means that the x's for Table I are the y's in Table II. And the y's in Table I are the x's in Table II.

So look at Table II, there is a coordinate pair

(7, 1.404). Switch the x and y and you get (1.404,7) That's your answer to fill in on Table I.

5 0
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Pls help!!! What situation can this graph represent?
xxMikexx [17]

Answer: Ocean tides

Step-by-step explanation: when the moon orbits the earth, it's gravitational pull causes tidal movements in large bodies of water; such as the oceans.

3 0
3 years ago
Smith high school offers a baseball camp day is $75 for four days of camp and a basketball can't that is $100 for five days of c
sukhopar [10]

75×4=300

100×5=500

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4 0
3 years ago
If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio
kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

                                                         = 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

                                                     = 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or,  40 = x - 0.6 x - 0.12 x

Or,  40 = 0.28 x

∴   x = \frac{40}{0.28}  =  142.85 ≈ 143

Hence The number of baseball card to begin with is 143  Answer

3 0
4 years ago
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