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mixer [17]
3 years ago
6

you are riding your bike. At 10:04am you have riddden your bike 23 miles. By 10:17am you have ridden 179 miles. Find the rate of

change in miles per hour. if needed, round your answer to the nearest whole number.
Mathematics
2 answers:
Doss [256]3 years ago
6 0

The answer is 720 mph, since we make time the x and distance y. We use the slope formula (y2 - y1)/(x2 - x1)

(179-23)/(17-4)

156 miles/13 mins

12 miles per min

Since the answer is in hours instead of minutes, we multiply 12 by 60 to get 720 mph

Kay [80]3 years ago
6 0

the answer that i got after working it out for your question is 720

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A steamboat went 8miles upstream in 1 hour. The return trip only took 30 minutes. Assume that the speed and direction of the cur
borishaifa [10]

recall your d = rt, distance = rate * time.

b = rate of the boat in still water

c = rate of the currrent

the distance going upstream is 8 miles, the distance going downstream is also the same 8 miles.

the boat took 1 hour going upstream, now, the boat is not going "b" mph fast, since it's going against the current, the current is eroding speed from, thus the boat going up is really going "b - c" fast.

likewise, when the boat goes downstream, is not going "b" fast either, is going faster because is going with the current and thus is really going "b + c" fast, and we know that trip back took 1/2 hour or 30 minutes.

\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&8&b-c&1\\ Downstream&8&b+c&\frac{1}{2} \end{array}\qquad \begin{cases} 8=(b-c)(1)\\ 8+c=\boxed{b}\\ \cline{1-1} 8=(b+c)\left( \frac{1}{2} \right) \end{cases}

\bf \stackrel{\textit{substituting in the 2nd equation}~\hfill }{8=\left(\boxed{8+c}+c \right)\cfrac{1}{2}\implies 8=(8+2c)\cfrac{1}{2}}\implies 16=8+2c \\\\\\ 8=2c\implies \cfrac{8}{2}=c\implies \blacktriangleright 4=c \blacktriangleleft \\\\\\ \stackrel{\textit{we know that }~\hfill }{8+c=b\implies 8+4=b\implies \blacktriangleright 12=b \blacktriangleleft}

7 0
3 years ago
HELP PLEASE!!! 5-6! Help!!!
STatiana [176]

Answer:

Step-by-step explanation:

5

      x + y = 5 => x = 5 - y

     y - 4 = - x

=> y - 4 = - ( 5 - y)

=> y - 4 = - 5 + y

=>4 = 5 , not true

So, no solution => system is inconsistent

6

option b

Explanation just as above.

4 0
3 years ago
Determine the value of r so the line passing through each pair of points has the given slope
Nonamiya [84]
We can use the slope formula to solve this one:
m=\frac{y_2-y_1}{x_2-x_1}
\frac{1}{2}=\frac{2-3}{r-6}
(r-6)=2(-1)
r-6=-2
r=4
4 0
2 years ago
Use a proportion to find each value.
KiRa [710]

Answer:

a. 3.6

b. 42.5%

Step-by-step explanation:

a. 180/100 = 1.8

1.8 times 2 (since it's 2%) gives us 3.6

B. 17/40 is 42.5

5 0
2 years ago
Help please
algol [13]

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\\

6 0
2 years ago
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