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sveta [45]
3 years ago
7

The current of a river is 4 miles per hour. A boat travels to a point 30 miles upstream and back in 4 hours. What is the speed o

f the boat in still water
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

If it took 4 miles per hour you multiply that twice cuss its traveling back then forth so you repeat the same process 30 miles times 2 which is 60 hope this helps.

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
On the first play during the football game our team gained 5 yards. Between both the second and third play our team lost eight y
Maurinko [17]

Answer:

loss

Step-by-step explanation:

you might want to check someone else answer first tho

7 0
3 years ago
A new drug claims to reduce the number of migraines an individual suffers. In a study on the effectiveness of the new drug, 50 s
lana66690 [7]

Answer:

I got A on edg

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Substitution method- y=-x+4 and y=3x
kumpel [21]
Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3
5 0
3 years ago
Constant rate of change = 4<br> Y -intercept = 7
Levart [38]

Answer:

You would write it like -

y = 7 + 4x

or y = 4x + 7

8 0
3 years ago
Read 2 more answers
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