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ivann1987 [24]
2 years ago
13

the time spent in line to enter a concert varies inversely to the number of gates open. if just 3 gates are open, the wait time

is about 50 minutes. find the wait time if there are 8 gates open.
Mathematics
2 answers:
Doss [256]2 years ago
6 0

Answer:

  • 18.75 min or  18 min 45 sec

Step-by-step explanation:

<u>Inverse variation equation:</u>

  • y = k / x

<u>We have:</u>

  • y = 50 when x = 3

<u>Find the value of k:</u>

  • 50 = k / 3
  • k = 50*3
  • k = 150

<u>The equation becomes:</u>

  • y = 150 / x

<u>Find the value of y, when x = 8:</u>

  • y = 150/8
  • y = 18.75 minutes or 18 min 60*0.75 sec = 18 min 45 sec
kkurt [141]2 years ago
5 0

Answer:

100/3 min

Step-by-step explanation:

Wait time for 3 gates = 50 min

Wait time for 1 gate = 50/3 min

Wait time for 8 gates = 50/3 × 8

=> 25/3 × 4

=> 100/3 min

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cupoosta [38]
Hey there! 

In order to find out which one is greater, lets convert both of them into percents. 

To convert a decimal into a percent, simply multiply the decimal by 100 or move the decimal two places to the right. 

So! 
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Now, we know that 0.086 is equal to 8.6% So, the correct answer is 86% 

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3 0
3 years ago
A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
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zepelin [54]

Answer:

Step-by-step explanation:

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8000 books were sold over the course of 50 days

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There are fourty one tens.
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Lelechka [254]
Use a proportion to answer the question 

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 x  =    12 

12 x 60 = 720 
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