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hjlf
2 years ago
6

Which process was used to obtain the equation shown in Step 2?

Mathematics
1 answer:
Minchanka [31]2 years ago
7 0

Answer:

x3

Step-by-step explanation:

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A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
Evaluate each expression please help(the crossed out ones are irrelevant)
olga nikolaevna [1]
9. 31 + 5 = 36
10. 16 - 4 = 12
12. 9
13. 44 + 34 = 78
14. 101 - 1 = 100

15. -539 ??? 
16. 15 ??
17. |-435| = 435
7 0
3 years ago
Express sin O as a fraction in simplest terms.
ollegr [7]

To express sin O as a fraction in simplest term is 5/6

<h3>How to determine the expression</h3>

Using the formula:

Sin O = opposite/ hypotenuse

Where opposite = The side directly opposite the angle

hypotenuse = The longest side of the triangle

Sin O = 5 / 6

Therefore, to express sin O as a fraction in simplest term is 5/6

Learn more about the trigonometry here:

brainly.com/question/7331447

#SPJ1

6 0
2 years ago
A piggy bank contains a nickels, dimes and quarters. There are five more dimes than nickels and twice as many quarters as dimes.
Natasha2012 [34]

Answer:

34 nickels, 39 dimes, 78 quarters

Step-by-step explanation:

q = quarters, d = dimes, n = nickels

n = d - 5

q = 2d

.25q + .10d + .05n = 7.55

<em>Plug in the first 2 equations into the third one</em>

.5d + .10d + .05(d - 5) = 7.55

<em>Open up the Parenthesis</em>

.5d + .10d + .5d - .25 = 7.55

<em>Combine Like Terms</em>

.2d - .25 = 7.55-->

.2d = 7.8 -->

d = 39 -->

n = 39 - 5 = 34

q = 2(39) = 78

4 0
3 years ago
What is the base in the following: -55 power to 4
Alik [6]

Answer:

-55

Step-by-step explanation:

It would be -55 because the exponent is 4. So, that would leave -55 to be the right answer.

7 0
3 years ago
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