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Sunny_sXe [5.5K]
2 years ago
13

 simplify -6/35 please

Mathematics
1 answer:
mojhsa [17]2 years ago
6 0

Answer:

−0.171428571 or -6/35

Step-by-step explanation:

This is the Simplest form

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What is the original recipe?

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the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr
Naily [24]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}

\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k

\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}
5 0
4 years ago
Read 2 more answers
Two combine harvesters are able to harvest the crop from 320 acres in a certain amount of time. Working together for the same ti
Shtirlitz [24]

2=320

320/2=  160


Key:

*1=160



3*160=480

4*160=640

12*160= 1920


4 0
3 years ago
You have $3.70 in dimes and quarters. You have 5 more
anygoal [31]

Answer:

Step-by-step explanation:

10x + 25y = 370

y = x + 5

10x+25(x+5)=370

10x+25x+125=370

35x=370-125

x=245/35

x=7 which is the number of dimes

x+7= 7+5= 12 which is the number of quarters

So you have 12 quarters. That means you have 7 dimes.

8 0
3 years ago
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