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stiks02 [169]
3 years ago
14

The money remaining from the $150 is 37.5% of the cost of the day trip to cairo

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0
The cost of the trip was $56.25
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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
3 years ago
Read 2 more answers
How do you solve 10+5(3x-4)=2x+7
Taya2010 [7]

Answer:

x=1\dfrac{4}{13}

Step-by-step explanation:

Given the equation

10+5(3x-4)=2x+7

Use distributive property:

10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:

15x+10-20=2x+7

15x-10=2x+7

Add 10 th both sides:

15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract 2x:

15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:

x=\dfrac{17}{13}=1\dfrac{4}{13}

4 0
3 years ago
Find the error american car produce 5,650,000 cars each year.In a report,ben wrote that americans made 6,550,000 cars.What mista
Oksanka [162]

Answer:

The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.

He can fix it by correcting the wrong numbers.

Step-by-step explanation:

American car produce 5,650,000 cars each year.

When writing a report Ben wrote down that americans produce 6,550,000 cars every year

Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.

Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.

Hence, doing this will give him the correct number of cars which is 5,650,000 cars.

8 0
3 years ago
98.42 divided by 1.8
igomit [66]
54.67 but if rounded it will be 54.7
7 0
2 years ago
Read 2 more answers
Andrei's grandfather offered to give him a gift at 50% of the amount of money he saved in one year. Andrei saved $120 dollars. H
Dafna1 [17]

Answer:

$60

Step-by-step explanation:

$120/2(half) = $60

3 0
3 years ago
Read 2 more answers
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