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 = 
time downstream = 
the ferry trip upstream takes twice as long as its return trip downstream
= 
divide both sides by d
= 
cross multiply


Add 2x on both sideds

subtract 15 from both sides and divide by 3

x=5
Speed of river's current = 5 mph
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
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
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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
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.