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san4es73 [151]
3 years ago
13

Which is the solution to this system of equations?

Mathematics
2 answers:
DENIUS [597]3 years ago
7 0
The 1st one is the one that is the Answer
vivado [14]3 years ago
5 0
A graphing calculator shows the only solution to be ...
  (0, 3)

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A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t
PtichkaEL [24]
Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going  slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.
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A flooded engine is the answer
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Two integers, a and b have product of -48 what is the greatest possible sum of a and b.
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The factors of 48 are:
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To make the product negative, one of the factors has to be positive and one has to be negative.  To find the greatest sum, make the bigger number the positive factor and the smaller number the negative factor.  So, -1 x 48 = -48 and the sum of -1 + 48 = 47 which would be the greatest possible sum.
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3x+12=39
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X=9
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The value of 5 is plotted on the number line below plot another point on the number line that is 10 units away from 5
-BARSIC- [3]
This should be it. Good luck!

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