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denis-greek [22]
10 months ago
15

a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in sti

ll water and what is the rate of current?
Mathematics
1 answer:
Galina-37 [17]10 months ago
4 0
\begin{gathered} \text{Let;s assume the sp}e\text{d of boat in still water is x.} \\ And\text{ the spe}ed\text{ of stream is y.} \\ For\text{ upstream,} \\ (x-y)\times8=456 \\ x-y=57\ldots(1)_{} \\ (x+y)\times9=783 \\ x+y=87 \\ x=87-y\ldots(2) \\ \text{Now, substitute the value of x in the equation (1).} \\ 87-y-y=57 \\ -2y=57-87 \\ 2y=30 \\ y=15\text{ km/hours (rate of current)} \\ \text{Substitute the value of y in the equation (2).} \\ x=87-15 \\ x=72\text{ km/hours (boat in still water)} \end{gathered}

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Plz help quickly <br>plzzzz​
Dovator [93]

Answer:

D.)1.7

Step-by-step explanation:

it's positive and above the 1 point

7 0
3 years ago
Find an equation equivalent to r=6secθ in rectangular coordinates and describe the graph of the equation.
k0ka [10]

Answer:

x = 6

Step-by-step explanation:

r = 6 sec θ

r = 6 / cos θ

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The graph is a vertical line passing through (6, 0).

6 0
2 years ago
Luke runs a farm stand that sells strawberries and blueberries. Each pound of
koban [17]
Answer:
He would make $36 for 12 pounds of strawberries
He would make $196 for 49 pounds of blueberries

He would make 3S if he sold S pounds of strawberries
He would make 4B if he sold B pounds of blueberries

Working:
We know that strawberries are $3/pound so $3 x 12pounds = $36
We know that blueberries are $4/pound so $4 x 49pounds = $196

The letters represent the amount of pounds of fruit being bought so the calculation for that is ($ x pounds) so you would write this but without assigning a numerical value to the amount. So if the strawberries are $3/pound and Luke sold ‘s’ pounds then it would be 3S (or 3xS but that is already assumed). The same goes for the blueberries. We know that they are $4/pound so it would be 4B.

Sorry if this doesn’t make any sense but I hope this helped

4 0
3 years ago
Help me please it’s due by today
anyanavicka [17]

Answer:

D

Step-by-step explanation:

Lateral SA = area of the 4 triangles

Formula to be used :-

Area (triangle) = 1/2bh

=> 4 x 1/2 x 9 x 12

=> 108 x 2

=> 216 cm²

Total SA = LSA + area of the square

Formula to be used :-

Area (square) = side length x side length

=> 216 + 9 x 9

=> 216 + 81

=> 297 cm²

<u>The correct option is (D).</u>

4 0
2 years ago
A trade in is most closely related to which of the following
katrin2010 [14]
 a trade in is closely related to a down payment because it reduces the amount financed.

5 0
3 years ago
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