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Alinara [238K]
2 years ago
9

HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
ad-work [718]2 years ago
8 0
Statement 1; given
Statement 2: vertical angle theorem
Statement 3: AA Angle Theorem
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a boat is going 144 miles upstream on a river. the speed of the boat in still water is 60 miles per hour. the speed of the river
Katena32 [7]

Answer:

Let  b  =  rate of the boat.

Let  r  =  rate of the river.

The rate going downstream is  b + r.

The rate going upstream is  b - r.

rate x time  =  distance

4(b + r)  =  144     --->     b + r  =  36     [divide both sides by 4]

9(b - r)  =  144      --->     b - r  =  16      [divide both sides by 9]

Add town:                          2b  =  52  

Divide by :                           b  =  26  mi/hr

                                           r  =  10  mi/hr

Step-by-step explanation:

5 0
2 years ago
What is the average rate of change over the interval (-1, 5)​
MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>

<em></em>

The average rate of change is calculated using;

A = \frac{f(b) - f(a)}{b - a}

Where

(a,b) = (-1,5)

Take for instance;

The function is:

f(x) = 2x

We have to solve for f(-1) and f(5);

i.e.

f(-1) = 2 * -1  -2

f(5) = 2 * 5 = 10

Substitute -1 for a and 5 for b

A = \frac{f(b) - f(a)}{b - a}

A = \frac{f(5) - f(-1)}{5 - (-1)}

A = \frac{f(5) - f(-1)}{5 +1)}

A = \frac{f(5) - f(-1)}{6}

Substitute values for f(5) and f(-1)

A = \frac{10 - (-2)}{6}

A = \frac{10 +2}{6}

A = \frac{12}{6}

A = 2

<em>Apply this steps in your work</em>

5 0
3 years ago
I really need to know how long it takes the large pipe on its own
Andreyy89

s = hours it takes the small pipe on its own.


L = hours it takes the large pipe on its own.


we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?


well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.


we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.


in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.


\bf \stackrel{\textit{how much has it been done by both in 1 hour}}{\stackrel{\stackrel{small}{rate}}{\cfrac{1}{s}}+\stackrel{\stackrel{large}{rate}}{\cfrac{1}{L}}~~=~~\stackrel{job}{\cfrac{1}{6}}} \\\\\\ \cfrac{1}{11}+\cfrac{1}{L}=\cfrac{1}{6}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{66L}}{6L+66=11L}\implies 66=5L \\\\\\ \cfrac{66}{5}=L\implies 13\frac{1}{5}=L\impliedby \textit{13 hours and 12 minutes}


and you can round that up as needed.

7 0
3 years ago
The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp
svlad2 [7]
Let
x--------> <span>the speed of the boat in mph

we know that
</span>going upstream the speed is x-7 
<span>going downstream the speed is x+7 
</span>
let the distance be d 
<span>time to go upstream = d/(x-7) </span>
<span>time to go downstream = d/(x+7)
</span>
time going upstream is 3 times going downstream 
so
<span>3d/(x+7) = d/(x-7) </span>
<span>divide by d </span>
<span>3/(x+7) = 1/(x-7) </span>
<span>3x-21 = x+7 </span>
<span>2x = 28 </span>
<span>x = 14 
</span>
the answer is
<span>the speed of the boat in still water is 14 mph</span>
7 0
3 years ago
Let x represent the number of television show episodes that are taped in a season. Enter an expression for the number of episode
Vinil7 [7]

Answer:

x=8 ???

Step-by-step explanation:

??? not 100% sure but im pretty sure ;w;

8 0
2 years ago
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