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Leviafan [203]
3 years ago
8

Gabe collects model train and planes. He has 2 trains for every 5 planes. If Gabe has 25 planes, how many trains does he have? [

Type your answer as a number.]
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

he would have 10 trains.

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Sophie has 3/4 quart of lemonade. if she divides the lemonade into glasses that hold 1/16 quart, how many glasses can Sophie fil
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3 years ago
Dana is planning to drive 400 miles from
GaryK [48]

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

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Cost saved by travel by car = $95 - $35.6 = $59.4

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5 0
3 years ago
Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )
vesna_86 [32]
\bf y=cot\left(x-\frac{2\pi }{3}  \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3}  \right)}{sin\left(x-\frac{2\pi }{3}  \right)}

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

\bf sin\left(x-\frac{2\pi }{3}  \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3}  \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}

now, at those angles, the function is asymptotic, check the picture below

3 0
3 years ago
Read 2 more answers
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