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AVprozaik [17]
3 years ago
10

A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o

f the boat in still water and what is the rate of the current?
Mathematics
1 answer:
dsp733 years ago
4 0

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

b - c = 40

b + c = 50

Adding these equations, we get:

2b = 90

b = 45

So

c = 50 - 45 = 5

<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>

Hope this helps :)

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nignag [31]

Answer: \sqrt[3]{125x^3}.


Step-by-step explanation: Given radical expression

\sqrt[3]{5x} \times \sqrt[3]{25x^2}.

According to the product property of roots.

\sqrt[n]{a} \times \sqrt[n]{b} = \sqrt[n]{a \times b}

On applying above rule, we get

\sqrt[3]{5x} \times \sqrt[3]{25x^2} = \sqrt[3]{5x \times 25x^2}

5 × 25 = 125 and

x \times x^2 = x^3

Therefore,

\sqrt[3]{5x \times 25x^2}= \sqrt[3]{125x^3}

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3 years ago
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Serhud [2]

Answer

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Step-by-step explanation:

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3 years ago
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
Basile [38]

Answer:

Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?

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Step-by-step explanation:

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3 years ago
The following question has two parts. First, answer part A. Then, answer part B.
Arturiano [62]

Answer:

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  Part B:  see below

Step-by-step explanation:

<u>Part A</u>:

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<u>Part B</u>:

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Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.

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